Butterworth滤波器设计（IIR类型）

• 设计滤波系数

打开MATLAB，选择应用程序，点击Filter Design & Analysis 

选择Butterworth,设置阶数，采样频率FS,截止频率FC,最后点击Design Filter确定

选择Analysis菜单，点击Filter Coefficients 

选择Edit菜单，点击Convert to single section

选择Targets菜单，点击Generate C Header... 

 选择Export as，选择single-precision float,点击Generate

生成的文件内容如下 

/*
 * Filter Coefficients (C Source) generated by the Filter Design and Analysis Tool
 * Generated by MATLAB(R) 9.0 and the Signal Processing Toolbox 7.2.
 * Generated on: 27-Nov-2019 07:42:47
 */

/*
 * Discrete-Time IIR Filter (real)
 * -------------------------------
 * Filter Structure    : Direct-Form II
 * Numerator Length    : 7
 * Denominator Length  : 7
 * Stable              : Yes
 * Linear Phase        : No
 */

/* General type conversion for MATLAB generated C-code  */
#include "tmwtypes.h"
/* 
 * Expected path to tmwtypes.h 
 * C:\Program Files\MATLAB\R2016a\extern\include\tmwtypes.h 
 */
/*
 * Warning - Filter coefficients were truncated to fit specified data type.  
 *   The resulting response may not match generated theoretical response.
 *   Use the Filter Design & Analysis Tool to design accurate
 *   single-precision filter coefficients.
 */
const int NL = 7;
const real32_T NUM[7] = {
   0.004106325097,  0.02463795058,  0.06159487367,  0.08212649822,  0.06159487367,
    0.02463795058, 0.004106325097
};
const int DL = 7;
const real32_T DEN[7] = {
                1,   -2.021385193,    2.312567234,   -1.521253347,   0.6202822328,
    -0.1416414529,  0.01423505601
};

 C代码实现Butterworlth滤波系数数组定义

float	FACTOR_B[] = {0.004106325097,  0.02463795058,  0.06159487367,  0.08212649822,  0.06159487367, 0.02463795058, 0.004106325097};
float	FACTOR_A[] = {1,   -2.021385193,    2.312567234,   -1.521253347,   0.6202822328,  -0.1416414529,  0.01423505601};

 Butterworlth数据结构

typedef struct
{
	float xBuffer[FACTOR_NUMBER];
	float yBuffer[FACTOR_NUMBER];
}BUTTER_WORTH_BUFFER;

 Butterworth算法实现

static BUTTER_WORTH_BUFFER s_ecgFilter;
#define FACTOR_NUMBER 7

uint16_t buterworlthFilter(uint16_t x)
{
	uint32_t i;
	//运算之前Buf向前移动一个位置，以保存之前Buf的数据；
	for(i=FACTOR_NUMBER-1; i>0;i--)
	{
		s_ecgFilter.yBuffer[i] = s_ecgFilter.yBuffer[i-1];
		s_ecgFilter.xBuffer[i] = s_ecgFilter.xBuffer[i-1];
		
	}
	s_ecgFilter.xBuffer[0] = x;
	s_ecgFilter.yBuffer[0] = 0;
		
	for(i=1;i