给我一个S变换信号重构的代码
时间: 2023-04-06 08:01:29 浏览: 58
以下是一个S变换信号重构的代码示例:
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define PI 3.14159265358979323846
void S_transform(double *x, int N)
{
int i, j, k, n, m;
double *y, *z, *w, *c, *s, *t, *p, *q, *r, *u, *v;
y = (double *)malloc(N * sizeof(double));
z = (double *)malloc(N * sizeof(double));
w = (double *)malloc(N * sizeof(double));
c = (double *)malloc(N * sizeof(double));
s = (double *)malloc(N * sizeof(double));
t = (double *)malloc(N * sizeof(double));
p = (double *)malloc(N * sizeof(double));
q = (double *)malloc(N * sizeof(double));
r = (double *)malloc(N * sizeof(double));
u = (double *)malloc(N * sizeof(double));
v = (double *)malloc(N * sizeof(double));
for (i = 0; i < N; i++) {
y[i] = x[i];
z[i] = 0.0;
}
for (n = N; n >= 2; n /= 2) {
m = n / 2;
for (i = 0; i < m; i++) {
c[i] = cos(2 * PI * i / n);
s[i] = sin(2 * PI * i / n);
}
for (i = 0; i < N; i += n) {
for (j = i, k = 0; j < i + m; j++, k++) {
t[k] = y[j] + y[j + m];
p[k] = y[j] - y[j + m];
q[k] = z[j] + z[j + m];
r[k] = z[j] - z[j + m];
}
for (j = i, k = 0; j < i + m; j++, k++) {
y[j] = t[k];
z[j] = q[k] * c[k] - r[k] * s[k];
y[j + m] = p[k];
z[j + m] = r[k] * c[k] + q[k] * s[k];
}
}
}
for (i = 0; i < N; i++) {
u[i] = sqrt(y[i] * y[i] + z[i] * z[i]);
v[i] = atan2(z[i], y[i]);
}
for (i = 0; i < N; i++) {
y[i] = u[i] * cos(v[i]);
z[i] = u[i] * sin(v[i]);
}
for (n = 2; n <= N; n *= 2) {
m = n / 2;
for (i = 0; i < m; i++) {
c[i] = cos(2 * PI * i / n);
s[i] = sin(2 * PI * i / n);
}
for (i = 0; i < N; i += n) {
for (j = i, k = 0; j < i + m; j++, k++) {
t[k] = y[j];
p[k] = z[j] * c[k] + y[j + m] * s[k];
q[k] = z[j] * s[k] - y[j + m] * c[k];
r[k] = z[j + m];
}
for (j = i, k = 0; j < i + m; j++, k++) {
y[j] = t[k] + p[k];
z[j] = q[k] + r[k];
y[j + m] = t[k] - p[k];
z[j + m] = q[k] - r[k];
}
}
}
for (i = 0; i < N; i++) {
x[i] = y[i];
}
free(y);
free(z);
free(w);
free(c);
free(s);
free(t);
free(p);
free(q);
free(r);
free(u);
free(v);
}
int main()
{
int i, N = 16;
double x[] = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16};
S_transform(x, N);
for (i = 0; i < N; i++) {
printf("%f\n", x[i]);
}
return 0;
}
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