使用fopen_s怎么求wav的时域信号均值、均方值、方差,计算信号的自协方差矩阵和功率谱
时间: 2024-05-15 09:19:54 浏览: 16
以下是使用fopen_s求wav文件的时域信号均值、均方值、方差,计算信号的自协方差矩阵和功率谱的示例代码:
```c
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define BUFFER_SIZE 1024
// 计算均值
double mean(double *data, int size) {
double sum = 0.0;
for (int i = 0; i < size; i++) {
sum += data[i];
}
return sum / size;
}
// 计算均方值
double rms(double *data, int size) {
double sum = 0.0;
for (int i = 0; i < size; i++) {
sum += pow(data[i], 2);
}
return sqrt(sum / size);
}
// 计算方差
double variance(double *data, int size) {
double m = mean(data, size);
double sum = 0.0;
for (int i = 0; i < size; i++) {
sum += pow(data[i] - m, 2);
}
return sum / (size - 1);
}
// 计算自协方差矩阵
void autocovariance(double *data, int size, int lag, double *result) {
double m = mean(data, size);
for (int i = lag; i < size; i++) {
result[lag] += (data[i] - m) * (data[i - lag] - m);
}
result[lag] /= size - lag;
}
// 计算功率谱
void power_spectrum(double *data, int size, double *result) {
for (int i = 0; i < size; i++) {
for (int j = 0; j < size; j++) {
result[i] += data[j] * cos(2 * M_PI * i * j / size);
}
result[i] /= size;
}
}
int main() {
FILE *fp;
errno_t err;
short buffer[BUFFER_SIZE];
double data[BUFFER_SIZE];
double acf[BUFFER_SIZE];
double psd[BUFFER_SIZE];
// 打开WAV文件
err = fopen_s(&fp, "example.wav", "rb");
if (err != 0) {
printf("Error: Failed to open WAV file.\n");
return 1;
}
// 跳过WAV文件头
fseek(fp, 44, SEEK_SET);
// 读取数据
int n = 0;
while (!feof(fp)) {
n = fread(buffer, sizeof(short), BUFFER_SIZE, fp);
for (int i = 0; i < n; i++) {
data[i] = (double)buffer[i] / 32768.0; // 归一化
}
// 计算均值、均方值、方差
double m = mean(data, n);
double r = rms(data, n);
double v = variance(data, n);
printf("Mean: %f, RMS: %f, Variance: %f\n", m, r, v);
// 计算自协方差矩阵
for (int i = 0; i < BUFFER_SIZE; i++) {
acf[i] = 0.0;
}
for (int i = 0; i < BUFFER_SIZE; i++) {
autocovariance(data, BUFFER_SIZE, i, acf);
}
printf("ACF: ");
for (int i = 0; i < BUFFER_SIZE; i++) {
printf("%f ", acf[i]);
}
printf("\n");
// 计算功率谱
for (int i = 0; i < BUFFER_SIZE; i++) {
psd[i] = 0.0;
}
power_spectrum(data, BUFFER_SIZE, psd);
printf("PSD: ");
for (int i = 0; i < BUFFER_SIZE; i++) {
printf("%f ", psd[i]);
}
printf("\n");
}
// 关闭WAV文件
fclose(fp);
return 0;
}
```
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