C++绘制出频率响应曲线和幅度响应曲线
时间: 2023-07-11 14:30:32 浏览: 52
绘制频率响应曲线和幅度响应曲线需要用到信号处理中的频率分析和频率响应计算。
以下是使用 FFT 算法和 Butterworth 滤波器计算频率响应曲线和幅度响应曲线的一个简单示例:
```cpp
#include <iostream>
#include <cmath>
#include <vector>
#include <fftw3.h>
#define PI 3.14159265358979323846
// 定义 Butterworth 滤波器结构体
struct ButterworthFilter {
std::vector<double> a;
std::vector<double> b;
};
// 定义计算 Butterworth 滤波器系数的函数
ButterworthFilter butterworth(double cutoff, int order, double fs) {
ButterworthFilter filter;
filter.a.resize(order + 1);
filter.b.resize(order + 1);
double wc = 2 * PI * cutoff / fs;
double T = 1 / fs;
double k = tan(wc * T) / (1 + tan(wc * T));
filter.b[0] = pow(k, order);
for (int i = 1; i <= order; i++) {
double binom = 1;
for (int j = 0; j < i; j++) {
binom *= (order - j) / (j + 1.0);
}
filter.b[i] = binom * pow(k, order - i) * pow(-1, i);
}
for (int i = 0; i <= order; i++) {
filter.a[i] = 0;
for (int j = 0; j <= order; j++) {
if (i + j <= order) {
double binom = 1;
for (int k = 0; k < j; k++) {
binom *= (order - k) / (k + 1.0);
}
filter.a[i] += binom * pow(-1, j) * pow(k, j) * pow(-1, i + j);
}
}
}
double sum = 0;
for (int i = 0; i <= order; i++) {
sum += filter
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