Trinity Devboard PCB V1.0 Firmware. FreeRTOS is setup and the MCU reads IMU data over SPI fand Magnetometer data over I2C, each with a seperate task. Sensordata is then run though MadgwickAHRS and send over USB as serial packet data to use in trinity visualizer. Bare minimum functionality works and is replicated from the first prototype.

2026-09-13 19:51:03 +02:00
commit 7ee381de58
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@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_graphic_equalizer_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_graphic_equalizer_data.c
+*   
+* Description:	 Data file used for example code
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+float32_t testRefOutput_f32[320] = {
+
+0.000000000000000000,	0.001898396760225296,	0.004215449094772339,	0.007432077080011368,	0.010948467999696732,	0.015026375651359558,	0.019191544502973557,	0.023574527353048325,	
+0.027919445186853409,	0.032277785241603851,	0.036551639437675476,	0.040732793509960175,	0.044799156486988068,	0.048710610717535019,	0.052476800978183746,	0.056059073656797409,	
+0.059482168406248093,	0.062726479023694992,	0.065821025520563126,	0.068763464689254761,	0.071577839553356171,	0.074270240962505341,	0.076856281608343124,	0.079344697296619415,	
+0.081745062023401260,	0.084067162126302719,	0.086318407207727432,	0.088509257882833481,	0.090647127479314804,	0.092742368578910828,	0.094802625477313995,	0.096837285906076431,	
+0.098853722214698792,	0.100859899073839190,	0.102862443774938580,	0.104867763817310330,	0.106881409883499150,	0.108908228576183320,	0.110952425748109820,	0.113017357885837550,	
+0.115105822682380680,	0.117219865322113040,	0.119361080229282380,	0.121530555188655850,	0.123729091137647630,	0.125957202166318890,	0.128215309232473370,	0.130503740161657330,	
+0.132822841405868530,	0.135173004120588300,	0.137554679065942760,	0.139968376606702800,	0.142414685338735580,	0.144894234836101530,	0.147407654672861100,	0.149955596774816510,	
+0.152538605034351350,	0.155157200992107390,	0.157811731100082400,	0.160502441227436070,	0.163229387253522870,	0.165992442518472670,	0.168791320174932480,	0.171625509858131410,	
+0.174494370818138120,	0.177397061139345170,	0.180332608520984650,	0.183299910277128220,	0.186297744512557980,	0.189324837177991870,	0.192379791289567950,	0.195461250841617580,	
+0.198567759245634080,	0.201697919517755510,	0.204850304871797560,	0.208023533225059510,	0.211216274648904800,	0.214427210390567780,	0.217655111104249950,	0.220898788422346120,	
+0.224157124757766720,	0.227429077029228210,	0.230713658034801480,	0.234009962528944020,	0.237317133694887160,	0.240634419023990630,	0.243961080908775330,	0.247296508401632310,	
+0.250640105456113820,	0.253991369158029560,	0.257349837571382520,	0.260715119540691380,	0.264086868613958360,	0.267464816570281980,	0.270848698914051060,	0.274238351732492450,	
+0.277633611112833020,	0.281034380197525020,	0.284440591931343080,	0.287852220237255100,	0.291269283741712570,	0.294691801071166990,	0.298119872808456420,	0.301553562283515930,	
+0.304993014782667160,	0.308438356965780260,	0.311889752745628360,	0.315347377210855480,	0.318811416625976560,	0.322282072156667710,	0.325759567320346830,	0.329244095832109450,	
+0.332735907286405560,	0.336235217750072480,	0.339742250740528110,	0.343257248401641850,	0.346780419349670410,	0.350311983376741410,	0.353852160274982450,	0.357401121407747270,	
+0.360959105193614960,	0.364526227116584780,	0.368102725595235820,	0.371688675135374070,	0.375284302979707720,	0.378889638930559160,	0.382504884153604510,	0.386130042374134060,	
+0.389765247702598570,	0.393410529941320420,	0.397065933793783190,	0.400731507688760760,	0.404407206922769550,	0.408093083649873730,	0.411789052188396450,	0.415495119988918300,	
+0.419211201369762420,	0.422937240451574330,	0.426673140376806260,	0.430418811738491060,	0.434174135327339170,	0.437938995659351350,	0.441713258624076840,	0.445496778935194020,	
+0.449289388954639430,	0.453090950846672060,	0.456901267170906070,	0.460720170289278030,	0.464547459036111830,	0.468382950872182850,	0.472226426005363460,	0.476077698171138760,	
+0.479936532676219940,	0.483802750706672670,	0.487676106393337250,	0.491556398570537570,	0.495443399995565410,	0.499336875975131990,	0.503236617892980580,	0.507142387330532070,	
+0.511053957045078280,	0.514971107244491580,	0.518893606960773470,	0.522821225225925450,	0.526753749698400500,	0.530690938234329220,	0.534632585942745210,	0.538578454405069350,	
+0.542528338730335240,	0.546481993049383160,	0.550439231097698210,	0.554399792104959490,	0.558363504707813260,	0.562330115586519240,	0.566299438476562500,	0.570271246135234830,	
+0.574245333671569820,	0.578221492469310760,	0.582199502736330030,	0.586179181933403020,	0.590160276740789410,	0.594142623245716090,	0.598125983029603960,	0.602110169827938080,	
+0.606094967573881150,	0.610080175101757050,	0.614065583795309070,	0.618050977587699890,	0.622036151587963100,	0.626020893454551700,	0.630004994571208950,	0.633988231420516970,	
+0.637970402836799620,	0.641951277852058410,	0.645930647850036620,	0.649908289313316350,	0.653883971273899080,	0.657857488840818410,	0.661828581243753430,	0.665797054767608640,	
+0.669762641191482540,	0.673725124448537830,	0.677684243768453600,	0.681639779359102250,	0.685591462999582290,	0.689539063721895220,	0.693482317030429840,	0.697420965880155560,	
+0.701354760676622390,	0.705283410847187040,	0.709206689149141310,	0.713124278932809830,	0.717035952955484390,	0.720941375941038130,	0.724840316921472550,	0.728732451796531680,	
+0.732617516070604320,	0.736495196819305420,	0.740365199744701390,	0.744227230548858640,	0.748080968856811520,	0.751926124095916750,	0.755762357264757160,	0.759589381515979770,	
+0.763406842947006230,	0.767214450985193250,	0.771011855453252790,	0.774798732250928880,	0.778574761003255840,	0.782339565455913540,	0.786092851310968400,	0.789834223687648770,	
+0.793563373386859890,	0.797279909253120420,	0.800983514636754990,	0.804673787206411360,	0.808350402861833570,	0.812012966722249980,	0.815661124885082240,	0.819294504821300510,	
+0.822912722826004030,	0.826515413820743560,	0.830102190375328060,	0.833672653883695600,	0.837226435542106630,	0.840763118118047710,	0.844282336533069610,	0.847783654928207400,	
+0.851266715675592420,	0.854731071740388870,	0.858176350593566890,	0.861602116376161580,	0.865007970482110980,	0.868393491953611370,	0.871758259832859040,	0.875101849436759950,	
+0.878423850983381270,	0.881723806262016300,	0.885001312941312790,	0.888255912810564040,	0.891487173736095430,	0.894694659858942030,	0.897877920418977740,	0.901036512106657030,	
+0.904169965535402300,	0.907277844846248630,	0.910359673202037810,	0.913415014743804930,	0.916443370282649990,	0.919444311410188670,	0.922417331486940380,	0.925361987203359600,	
+0.928277771919965740,	0.931164238601922990,	0.934020876884460450,	0.936847217381000520,	0.939642757177352910,	0.942407000809907910,	0.945139460265636440,	0.947839632630348210,	
+0.950507018715143200,	0.953141096979379650,	0.955741371959447860,	0.958307322114706040,	0.960838429629802700,	0.963334184139966960,	0.965794049203395840,	0.968217510730028150,	
+0.970604017376899720,	0.972953058779239650,	0.975264083594083790,	0.977536566555500030,	0.979769956320524220,	0.981963708996772770,	0.984117280691862110,	0.986230112612247470,	
+0.988301653414964680,	0.990331344306468960,	0.992318630218505860,	0.994262944906950000,	0.996163722127676010,	0.998020399361848830,	0.999832402914762500,	1.001599155366420700,	
+1.003320086747407900,	1.004994612187147100,	1.006622135639190700,	1.008202098309993700,	1.009733878076076500,	1.011216927319765100,	1.012650609016418500,	1.014034371823072400,	
+1.015367589890956900,	1.016649682074785200,	1.017880033701658200,	1.019058048725128200,	1.020183108747005500,	1.021254621446132700,	1.022271949797868700,	1.023234523832798000,	
+
+};
+/* ----------------------------------------------------------------------
+** Test input - logarithmic chirp signal
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32[320] =
+  {
+    0.000000000000000061,	0.002622410992047861,	0.005253663973466970,	0.007893770384930297,	0.010542741395035495,	0.013200587895525877,	0.015867320496454066,	0.018542949521290073,	
+0.021227485001971542,	0.023920936673895138,	0.026623313970853074,	0.029334626019908643,	0.032054881636210709,	0.034784089317753723,	0.037522257240071598,	0.040269393250875855,	
+0.043025504864628375,	0.045790599257054837,	0.048564683259595690,	0.051347763353792118,	0.054139845665610427,	0.056940935959702531,	0.059751039633601337,	0.062570161711849828,	
+0.065398306840066575,	0.068235479278943648,	0.071081682898178900,	0.073936921170339814,	0.076801197164660218,	0.079674513540768196,	0.082556872542344922,	0.085448275990715375,	
+0.088348725278367082,	0.091258221362398390,	0.094176764757897533,	0.097104355531246703,	0.100040993293358240,	0.102986677192832010,	0.105941405909045980,	0.108905177645166230,	
+0.111877990121087980,	0.114859840566297130,	0.117850725712659680,	0.120850641787131110,	0.123859584504392860,	0.126877549059407400,	0.129904530119898690,	0.132940521818751430,	
+0.135985517746334080,	0.139039510942737950,	0.142102493889940090,	0.145174458503884160,	0.148255396126476810,	0.151345297517508140,	0.154444152846483080,	0.157551951684374300,	
+0.160668682995289720,	0.163794335128054890,	0.166928895807713030,	0.170072352126936720,	0.173224690537355760,	0.176385896840798810,	0.179555956180445340,	0.182734853031894270,	
+0.185922571194139130,	0.189119093780459800,	0.192324403209221870,	0.195538481194587030,	0.198761308737133020,	0.201992866114384050,	0.205233132871247170,	0.208482087810360570,	
+0.211739708982344370,	0.215005973675965020,	0.218280858408200220,	0.221564338914212730,	0.224856390137231970,	0.228156986218334190,	0.231466100486134670,	0.234783705446379690,	
+0.238109772771442410,	0.241444273289723230,	0.244787176974952890,	0.248138452935395580,	0.251498069402956710,	0.254865993722190930,	0.258242192339209860,	0.261626630790492030,	
+0.265019273691591620,	0.268420084725748410,	0.271829026632395280,	0.275246061195565440,	0.278671149232197430,	0.282104250580339830,	0.285545324087251580,	0.288994327597401960,	
+0.292451217940364990,	0.295915950918612280,	0.299388481295203350,	0.302868762781368150,	0.306356748023990040,	0.309852388592980640,	0.313355634968552230,	0.316866436528383590,	
+0.320384741534681720,	0.323910497121136620,	0.327443649279772870,	0.330984142847692230,	0.334531921493712690,	0.338086927704900790,	0.341649102772995210,	0.345218386780727190,	
+0.348794718588032520,	0.352378035818156910,	0.355968274843654950,	0.359565370772282730,	0.363169257432780890,	0.366779867360555120,	0.370397131783246010,	0.374020980606193880,	
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+
+  };
@@ -0,0 +1,411 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_graphic_equalizer_example_q31.c
+*
+* Description:   Example showing an audio graphic equalizer constructed
+*                out of Biquad filters.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup GEQ5Band Graphic Audio Equalizer Example
+ *
+ * \par Description:
+ * \par
+ * This example demonstrates how a 5-band graphic equalizer can be constructed
+ * using the Biquad cascade functions.
+ * A graphic equalizer is used in audio applications to vary the tonal quality
+ * of the audio.
+ *
+ * \par Block Diagram:
+ * \par
+ * The design is based on a cascade of 5 filter sections.
+ * \image html GEQ_signalflow.gif
+ * Each filter section is 4th order and consists of a cascade of two Biquads.
+ * Each filter has a nominal gain of 0 dB (1.0 in linear units) and
+ * boosts or cuts signals within a specific frequency range.
+ * The edge frequencies between the 5 bands are 100, 500, 2000, and 6000 Hz.
+ * Each band has an adjustable boost or cut in the range of +/- 9 dB.
+ * For example, the band that extends from 500 to 2000 Hz has the response shown below:
+ * \par
+ * \image html GEQ_bandresponse.gif
+ * \par
+ * With 1 dB steps, each filter has a total of 19 different settings.
+ * The filter coefficients for all possible 19 settings were precomputed
+ * in MATLAB and stored in a table.  With 5 different tables, there are
+ * a total of 5 x 19 = 95 different 4th order filters.
+ * All 95 responses are shown below:
+ * \par
+ * \image html GEQ_allbandresponse.gif
+ * \par
+ * Each 4th order filter has 10 coefficents for a grand total of 950 different filter
+ * coefficients that must be tabulated. The input and output data is in Q31 format.
+ * For better noise performance, the two low frequency bands are implemented using the high
+ * precision 32x64-bit Biquad filters. The remaining 3 high frequency bands use standard
+ * 32x32-bit Biquad filters. The input signal used in the example is a logarithmic chirp.
+ * \par
+ * \image html GEQ_inputchirp.gif
+ * \par
+ * The array <code>bandGains</code> specifies the gain in dB to apply in each band.
+ * For example, if <code>bandGains={0, -3, 6, 4, -6};</code> then the output signal will be:
+ * \par
+ * \image html GEQ_outputchirp.gif
+ * \par
+ * \note The output chirp signal follows the gain or boost of each band.
+ * \par
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c testRefOutput_f32 points to the reference output data
+ * \li \c testOutput points to the test output data
+ * \li \c inputQ31 temporary input buffer
+ * \li \c outputQ31 temporary output buffer
+ * \li \c biquadStateBand1Q31 points to state buffer for band1
+ * \li \c biquadStateBand2Q31 points to state buffer for band2
+ * \li \c biquadStateBand3Q31 points to state buffer for band3
+ * \li \c biquadStateBand4Q31 points to state buffer for band4
+ * \li \c biquadStateBand5Q31 points to state buffer for band5
+ * \li \c coeffTable points to coefficient buffer for all bands
+ * \li \c gainDB gain buffer which has gains applied for all the bands
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_biquad_cas_df1_32x64_init_q31()
+ * - arm_biquad_cas_df1_32x64_q31()
+ * - arm_biquad_cascade_df1_init_q31()
+ * - arm_biquad_cascade_df1_q31()
+ * - arm_scale_q31()
+ * - arm_scale_f32()
+ * - arm_float_to_q31()
+ * - arm_q31_to_float()
+ *
+ * <b> Refer  </b>
+ * \link arm_graphic_equalizer_example_q31.c \endlink
+ *
+ */
+
+
+/** \example arm_graphic_equalizer_example_q31.c
+ */
+
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* Length of the overall data in the test */
+#define TESTLENGTH 320
+
+/* Block size for the underlying processing */
+#define BLOCKSIZE 32
+
+/* Total number of blocks to run */
+#define NUMBLOCKS (TESTLENGTH/BLOCKSIZE)
+
+/* Number of 2nd order Biquad stages per filter */
+#define NUMSTAGES 2
+
+#define SNR_THRESHOLD_F32  98
+
+/* -------------------------------------------------------------------
+ * External Declarations for Input and Output buffers
+ * ------------------------------------------------------------------- */
+
+extern float32_t testInput_f32[TESTLENGTH];
+static float32_t testOutput[TESTLENGTH];
+
+extern float32_t testRefOutput_f32[TESTLENGTH];
+
+/* ----------------------------------------------------------------------
+** Q31 state buffers for Band1, Band2, Band3, Band4, Band5
+** ------------------------------------------------------------------- */
+
+static q63_t biquadStateBand1Q31[4 * 2];
+static q63_t biquadStateBand2Q31[4 * 2];
+static q31_t biquadStateBand3Q31[4 * 2];
+static q31_t biquadStateBand4Q31[4 * 2];
+static q31_t biquadStateBand5Q31[4 * 2];
+
+/* ----------------------------------------------------------------------
+** Q31 input and output buffers
+** ------------------------------------------------------------------- */
+
+q31_t inputQ31[BLOCKSIZE];
+q31_t outputQ31[BLOCKSIZE];
+
+/* ----------------------------------------------------------------------
+** Entire coefficient table.  There are 10 coefficients per 4th order Biquad
+** cascade filter.  The first 10 coefficients correspond to the -9 dB gain
+** setting of band 1; the next 10 coefficient correspond to the -8 dB gain
+** setting of band 1; and so on.  There are 10*19=190 coefficients in total
+** for band 1 (gains = -9, -8, -7, ..., 9).  After this come the 190 coefficients
+** for band 2.
+**
+** The coefficients are in Q29 format and require a postShift of 2.
+** ------------------------------------------------------------------- */
+
+const q31_t coeffTable[950] = {
+
+  /* Band 1, -9 dB gain */
+  535576962, -1071153923, 535576962, 1073741824, -536870912, 535576962, -1063501998, 527979313, 1060865294, -524146981,
+  /* Band 1, -8 dB gain */
+  535723226, -1071446451, 535723226, 1073741824, -536870912, 535723226, -1063568947, 527903217, 1061230578, -524503778,
+  535868593, -1071737186, 535868593, 1073741824, -536870912, 535868593, -1063627467, 527819780, 1061585502, -524850686,
+  536013181, -1072026363, 536013181, 1073741824, -536870912, 536013181, -1063677598, 527728935, 1061930361, -525187972,
+  536157109, -1072314217, 536157109, 1073741824, -536870912, 536157109, -1063719372, 527630607, 1062265438, -525515897,
+  536300492, -1072600983, 536300492, 1073741824, -536870912, 536300492, -1063752815, 527524720, 1062591011, -525834716,
+  536443447, -1072886894, 536443447, 1073741824, -536870912, 536443447, -1063777945, 527411186, 1062907350, -526144676,
+  536586091, -1073172183, 536586091, 1073741824, -536870912, 536586091, -1063794775, 527289917, 1063214717, -526446017,
+  536728541, -1073457082, 536728541, 1073741824, -536870912, 536728541, -1063803308, 527160815, 1063513366, -526738975,
+  536870912, -1073741824, 536870912, 1073741824, -536870912, 536870912, -1063803543, 527023777, 1063803543, -527023777,
+  537013321, -1074026642, 537013321, 1073741824, -536870912, 537013321, -1063795470, 526878696, 1064085490, -527300648,
+  537155884, -1074311768, 537155884, 1073741824, -536870912, 537155884, -1063779073, 526725455, 1064359439, -527569803,
+  537298718, -1074597435, 537298718, 1073741824, -536870912, 537298718, -1063754328, 526563934, 1064625617, -527831454,
+  537441939, -1074883878, 537441939, 1073741824, -536870912, 537441939, -1063721205, 526394005, 1064884245, -528085806,
+  537585666, -1075171331, 537585666, 1073741824, -536870912, 537585666, -1063679666, 526215534, 1065135536, -528333059,
+  537730015, -1075460030, 537730015, 1073741824, -536870912, 537730015, -1063629666, 526028380, 1065379699, -528573409,
+  537875106, -1075750212, 537875106, 1073741824, -536870912, 537875106, -1063571152, 525832396, 1065616936, -528807045,
+  538021057, -1076042114, 538021057, 1073741824, -536870912, 538021057, -1063504065, 525627429, 1065847444, -529034151,
+  538167989, -1076335977, 538167989, 1073741824, -536870912, 538167989, -1063428338, 525413317, 1066071412, -529254907,
+
+  /* Band 2, -9 dB gain */
+  531784976, -1055497692, 523873415, 1066213307, -529420241, 531784976, -1040357886, 509828014, 1028908252, -494627367,
+  /* Band 2, -8 dB gain */
+  532357636, -1056601982, 524400080, 1066115844, -529326645, 532357636, -1040623406, 509562600, 1030462237, -496062122,
+  532927392, -1057707729, 524931110, 1066024274, -529239070, 532927392, -1040848253, 509262081, 1031969246, -497457090,
+  533494678, -1058816094, 525467240, 1065939047, -529157961, 533494678, -1041032161, 508925950, 1033429976, -498812573,
+  534059929, -1059928204, 526009170, 1065860582, -529083734, 534059929, -1041174868, 508553717, 1034845124, -500128887,
+  534623580, -1061045148, 526557561, 1065789260, -529016764, 534623580, -1041276126, 508144920, 1036215393, -501406373,
+  535186068, -1062167969, 527113032, 1065725420, -528957385, 535186068, -1041335703, 507699125, 1037541500, -502645399,
+  535747827, -1063297666, 527676151, 1065669351, -528905879, 535747827, -1041353386, 507215934, 1038824183, -503846368,
+  536309295, -1064435183, 528247436, 1065621289, -528862476, 536309295, -1041328990, 506694984, 1040064203, -505009724,
+  536870912, -1065581413, 528827349, 1065581413, -528827349, 536870912, -1041262354, 506135953, 1041262354, -506135953,
+  537433117, -1066737194, 529416295, 1065549847, -528800610, 537433117, -1041153346, 505538564, 1042419457, -507225588,
+  537996352, -1067903307, 530014622, 1065526651, -528782316, 537996352, -1041001864, 504902578, 1043536370, -508279208,
+  538561061, -1069080480, 530622620, 1065511830, -528772462, 538561061, -1040807833, 504227800, 1044613981, -509297437,
+  539127690, -1070269387, 531240527, 1065505333, -528770987, 539127690, -1040571205, 503514074, 1045653211, -510280946,
+  539696690, -1071470656, 531868525, 1065507054, -528777778, 539696690, -1040291951, 502761277, 1046655011, -511230450,
+  540268512, -1072684867, 532506750, 1065516837, -528792672, 540268512, -1039970063, 501969320, 1047620358, -512146700,
+  540843613, -1073912567, 533155297, 1065534483, -528815459, 540843613, -1039605542, 501138139, 1048550251, -513030484,
+  541422451, -1075154268, 533814224, 1065559750, -528845892, 541422451, -1039198394, 500267687, 1049445708, -513882621,
+  542005489, -1076410460, 534483561, 1065592362, -528883686, 542005489, -1038748624, 499357932, 1050307760, -514703956,
+  518903861, -1001986830, 486725277, 1037235801, -502367695, 518903861, -945834422, 446371043, 902366163, -400700571,
+  520899989, -1005630916, 488289126, 1036926846, -502147311, 520899989, -946490935, 445581846, 907921945, -404936158,
+  522893209, -1009290002, 489869792, 1036650484, -501961419, 522893209, -947006359, 444685310, 913306106, -409075225,
+  524884763, -1012968199, 491470256, 1036407567, -501810737, 524884763, -947377809, 443679533, 918521018, -413116221,
+  526875910, -1016669649, 493093518, 1036198712, -501695739, 526875910, -947602324, 442562672, 923569247, -417057897,
+  528867927, -1020398503, 494742575, 1036024293, -501616651, 528867927, -947676875, 441332970, 928453558, -420899319,
+  530862111, -1024158905, 496420407, 1035884447, -501573457, 530862111, -947598385, 439988777, 933176909, -424639872,
+  532859778, -1027954970, 498129955, 1035779077, -501565907, 532859778, -947363742, 438528571, 937742446, -428279254,
+  534862260, -1031790763, 499874098, 1035707863, -501593525, 534862260, -946969823, 436950987, 942153486, -431817474,
+  536870912, -1035670279, 501655630, 1035670279, -501655630, 536870912, -946413508, 435254839, 946413508, -435254839,
+  538887107, -1039597419, 503477238, 1035665609, -501751354, 538887107, -945691703, 433439146, 950526127, -438591937,
+  540912240, -1043575967, 505341475, 1035692963, -501879659, 540912240, -944801359, 431503152, 954495080, -441829621,
+  542947726, -1047609569, 507250741, 1035751307, -502039364, 542947726, -943739490, 429446349, 958324201, -444968987,
+  544995000, -1051701717, 509207261, 1035839473, -502229165, 544995000, -942503190, 427268492, 962017400, -448011351,
+  547055523, -1055855728, 511213065, 1035956193, -502447657, 547055523, -941089647, 424969617, 965578640, -450958226,
+  549130774, -1060074734, 513269973, 1036100110, -502693359, 549130774, -939496155, 422550049, 969011913, -453811298,
+  551222259, -1064361672, 515379585, 1036269804, -502964731, 551222259, -937720119, 420010407, 972321228, -456572401,
+  553331507, -1068719280, 517543273, 1036463810, -503260192, 553331507, -935759057, 417351601, 975510582, -459243495,
+  555460072, -1073150100, 519762181, 1036680633, -503578144, 555460072, -933610600, 414574832, 978583948, -461826644,
+  494084017, -851422604, 404056273, 930151631, -423619864, 494084017, -673714108, 339502486, 561843007, -265801750,
+  498713542, -859177141, 406587077, 929211656, -423786402, 498713542, -673274906, 338185129, 573719128, -272222942,
+  503369016, -867012190, 409148384, 928362985, -424054784, 503369016, -672533059, 336693984, 585290277, -278599028,
+  508052536, -874935599, 411746438, 927604291, -424422151, 508052536, -671478538, 335026905, 596558312, -284920289,
+  512766286, -882955583, 414387826, 926933782, -424885216, 512766286, -670100998, 333182045, 607525792, -291177811,
+  517512534, -891080712, 417079474, 926349262, -425440318, 517512534, -668389789, 331157902, 618195914, -297363485,
+  522293635, -899319903, 419828635, 925848177, -426083491, 522293635, -666333963, 328953368, 628572440, -303470012,
+  527112032, -907682405, 422642886, 925427679, -426810526, 527112032, -663922286, 326567785, 638659631, -309490882,
+  531970251, -916177781, 425530105, 925084675, -427617023, 531970251, -661143261, 324000998, 648462180, -315420352,
+  536870912, -924815881, 428498454, 924815881, -428498454, 536870912, -657985147, 321253420, 657985147, -321253420,
+  541816719, -933606817, 431556352, 924617870, -429450209, 541816719, -654435997, 318326093, 667233900, -326985786,
+  546810467, -942560921, 434712438, 924487114, -430467639, 546810467, -650483688, 315220754, 676214053, -332613816,
+  551855042, -951688708, 437975532, 924420027, -431546101, 551855042, -646115970, 311939896, 684931422, -338134495,
+  556953421, -961000826, 441354588, 924413001, -432680993, 556953421, -641320513, 308486839, 693391970, -343545389,
+  562108672, -970508005, 444858642, 924462435, -433867780, 562108672, -636084967, 304865786, 701601770, -348844597,
+  567323959, -980220994, 448496743, 924564764, -435102022, 567323959, -630397020, 301081886, 709566963, -354030710,
+  572602539, -990150500, 452277894, 924716482, -436379394, 572602539, -624244471, 297141281, 717293726, -359102767,
+  577947763, -1000307125, 456210977, 924914158, -437695705, 577947763, -617615296, 293051155, 724788245, -364060214,
+  583363084, -1010701292, 460304674, 925154455, -439046908, 583363084, -610497723, 288819761, 732056685, -368902865,
+  387379495, -506912469, 196933274, 840112184, -347208270, 387379495, 506912469, 196933274, -840112184, -347208270,
+  401658082, -532275898, 207149427, 833765363, -343175316, 401658082, 532275898, 207149427, -833765363, -343175316,
+  416472483, -558722695, 217902617, 827270154, -339107319, 416472483, 558722695, 217902617, -827270154, -339107319,
+  431841949, -586290861, 229212798, 820624988, -335007540, 431841949, 586290861, 229212798, -820624988, -335007540,
+  447786335, -615019650, 241100489, 813828443, -330879528, 447786335, 615019650, 241100489, -813828443, -330879528,
+  464326111, -644949597, 253586805, 806879270, -326727141, 464326111, 644949597, 253586805, -806879270, -326727141,
+  481482377, -676122557, 266693475, 799776409, -322554559, 481482377, 676122557, 266693475, -799776409, -322554559,
+  499276882, -708581728, 280442865, 792519013, -318366296, 499276882, 708581728, 280442865, -792519013, -318366296,
+  517732032, -742371685, 294857996, 785106465, -314167221, 517732032, 742371685, 294857996, -785106465, -314167221,
+  536870912, -777538408, 309962566, 777538408, -309962566, 536870912, 777538408, 309962566, -777538408, -309962566,
+  556717294, -814129313, 325780968, 769814766, -305757943, 556717294, 814129313, 325780968, -769814766, -305757943,
+  577295658, -852193284, 342338310, 761935777, -301559360, 577295658, 852193284, 342338310, -761935777, -301559360,
+  598631206, -891780698, 359660433, 753902014, -297373230, 598631206, 891780698, 359660433, -753902014, -297373230,
+  620749877, -932943463, 377773927, 745714425, -293206383, 620749877, 932943463, 377773927, -745714425, -293206383,
+  643678365, -975735041, 396706151, 737374355, -289066077, 643678365, 975735041, 396706151, -737374355, -289066077,
+  667444134, -1020210487, 416485252, 728883588, -284960004, 667444134, 1020210487, 416485252, -728883588, -284960004,
+  692075438, -1066426476, 437140179, 720244375, -280896294, 692075438, 1066426476, 437140179, -720244375, -280896294,
+  717601336, -1114441339, 458700704, 711459472, -276883515, 717601336, 1114441339, 458700704, -711459472, -276883515,
+  744051710, -1164315096, 481197437, 702532174, -272930673, 744051710, 1164315096, 481197437, -702532174, -272930673
+
+};
+
+/* ----------------------------------------------------------------------
+** Desired gains, in dB, per band
+** ------------------------------------------------------------------- */
+
+int gainDB[5] = {0, -3, 6, 4, -6};
+
+float32_t snr;
+
+
+/* ----------------------------------------------------------------------
+ * Graphic equalizer Example
+ * ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+  float32_t  *inputF32, *outputF32;
+  arm_biquad_cas_df1_32x64_ins_q31 S1;
+  arm_biquad_cas_df1_32x64_ins_q31 S2;
+  arm_biquad_casd_df1_inst_q31 S3;
+  arm_biquad_casd_df1_inst_q31 S4;
+  arm_biquad_casd_df1_inst_q31 S5;
+  int i;
+  int32_t status;
+
+  inputF32 = &testInput_f32[0];
+  outputF32 = &testOutput[0];
+
+  /* Initialize the state and coefficient buffers for all Biquad sections */
+
+  arm_biquad_cas_df1_32x64_init_q31(&S1, NUMSTAGES,
+            (q31_t *) &coeffTable[190*0 + 10*(gainDB[0] + 9)],
+            &biquadStateBand1Q31[0], 2);
+
+  arm_biquad_cas_df1_32x64_init_q31(&S2, NUMSTAGES,
+            (q31_t *) &coeffTable[190*1 + 10*(gainDB[1] + 9)],
+            &biquadStateBand2Q31[0], 2);
+
+  arm_biquad_cascade_df1_init_q31(&S3, NUMSTAGES,
+          (q31_t *) &coeffTable[190*2 + 10*(gainDB[2] + 9)],
+          &biquadStateBand3Q31[0], 2);
+
+  arm_biquad_cascade_df1_init_q31(&S4, NUMSTAGES,
+          (q31_t *) &coeffTable[190*3 + 10*(gainDB[3] + 9)],
+          &biquadStateBand4Q31[0], 2);
+
+  arm_biquad_cascade_df1_init_q31(&S5, NUMSTAGES,
+          (q31_t *) &coeffTable[190*4 + 10*(gainDB[4] + 9)],
+          &biquadStateBand5Q31[0], 2);
+
+
+  /* Call the process functions and needs to change filter coefficients
+     for varying the gain of each band */
+
+  for(i=0; i < NUMBLOCKS; i++)
+  {
+
+    /* ----------------------------------------------------------------------
+    ** Convert block of input data from float to Q31
+    ** ------------------------------------------------------------------- */
+
+    arm_float_to_q31(inputF32 + (i*BLOCKSIZE), inputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Scale down by 1/8.  This provides additional headroom so that the
+    ** graphic EQ can apply gain.
+    ** ------------------------------------------------------------------- */
+
+    arm_scale_q31(inputQ31, 0x7FFFFFFF, -3, inputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Call the Q31 Biquad Cascade DF1 32x64 process function for band1, band2
+    ** ------------------------------------------------------------------- */
+
+    arm_biquad_cas_df1_32x64_q31(&S1, inputQ31, outputQ31, BLOCKSIZE);
+    arm_biquad_cas_df1_32x64_q31(&S2, outputQ31, outputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Call the Q31 Biquad Cascade DF1 process function for band3, band4, band5
+    ** ------------------------------------------------------------------- */
+
+    arm_biquad_cascade_df1_q31(&S3, outputQ31, outputQ31, BLOCKSIZE);
+    arm_biquad_cascade_df1_q31(&S4, outputQ31, outputQ31, BLOCKSIZE);
+    arm_biquad_cascade_df1_q31(&S5, outputQ31, outputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Convert Q31 result back to float
+    ** ------------------------------------------------------------------- */
+
+    arm_q31_to_float(outputQ31, outputF32 + (i * BLOCKSIZE), BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Scale back up
+    ** ------------------------------------------------------------------- */
+
+    arm_scale_f32(outputF32 + (i * BLOCKSIZE), 8.0f, outputF32 + (i * BLOCKSIZE), BLOCKSIZE);
+  };
+
+  snr = arm_snr_f32(testRefOutput_f32, testOutput, TESTLENGTH);
+
+  if (snr < SNR_THRESHOLD_F32)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+  else
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signal does not match the reference output.
+  ** ------------------------------------------------------------------- */
+
+  if ( status != ARM_MATH_SUCCESS)
+  {
+    while (1);
+  }
+
+  while (1);                             /* main function does not return */
+}
+
+/** \endlink */
+
+
+
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:        17. January 2013
+* $Revision: 	V1.4.0  b
+*
+* Project: 	    CMSIS DSP Library
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief  Caluclation of SNR
+ * @param[in]  pRef 	Pointer to the reference buffer
+ * @param[in]  pTest	Pointer to the test buffer
+ * @param[in]  buffSize	total number of samples
+ * @return     SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Converts float to fixed in q12.20 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to outputbuffer
+ * @param[in]  numSamples  number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/**
+ * @brief  Caluclates number of guard bits
+ * @param[in]  num_adds 	number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/**
+ * @brief  Apply guard bits to buffer
+ * @param[in,out]  pIn         pointer to input buffer
+ * @param[in]      numSamples  number of samples in the input buffer
+ * @param[in]      guard_bits  guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+						   uint32_t numSamples,
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/**
+ * @brief  Calculates pow(2, numShifts)
+ * @param[in]  numShifts 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }
+
+  return(val);
+}
+
+
+
+/**
+ * @brief  Converts float to fixed q14
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/**
+ * @brief  Converts float to fixed q28 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Clip the float values to +/- 1
+ * @param[in,out]  pIn           input buffer
+ * @param[in]      numSamples    number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if (pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if ( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+
+    }
+}
+
+
+
+
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+