有没有fft算法的c语言代码
时间: 2023-09-23 11:04:43 浏览: 37
是的,FFT算法的C语言代码如下:
```
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define PI 3.14159265358979323846
typedef struct {
double real;
double imag;
} complex;
complex* fft(complex* x, int n) {
if (n == 1) {
return x;
}
complex* xe = (complex*) malloc(n / 2 * sizeof(complex));
complex* xo = (complex*) malloc(n / 2 * sizeof(complex));
for (int i = 0; i < n / 2; i++) {
xe[i] = x[2 * i];
xo[i] = x[2 * i + 1];
}
complex* ye = fft(xe, n / 2);
complex* yo = fft(xo, n / 2);
complex* y = (complex*) malloc(n * sizeof(complex));
for (int k = 0; k < n / 2; k++) {
double theta = -2 * k * PI / n;
complex w = {cos(theta), sin(theta)};
y[k] = {ye[k].real + w.real * yo[k].real - w.imag * yo[k].imag,
ye[k].imag + w.real * yo[k].imag + w.imag * yo[k].real};
y[k + n / 2] = {ye[k].real - w.real * yo[k].real + w.imag * yo[k].imag,
ye[k].imag - w.real * yo[k].imag - w.imag * yo[k].real};
}
free(xe);
free(xo);
free(ye);
free(yo);
return y;
}
int main() {
int n = 8;
complex x[] = {{1, 0}, {2, 0}, {3, 0}, {4, 0}, {4, 0}, {3, 0}, {2, 0}, {1, 0}};
complex* y = fft(x, n);
for (int i = 0; i < n; i++) {
printf("(%g, %g)\n", y[i].real, y[i].imag);
}
free(y);
return 0;
}
```
这是一个简单的FFT算法实现,输入一个长度为2^k的复数序列,输出其DFT(离散傅里叶变换)。代码中使用递归实现FFT算法,使用了复数运算。