请用c语言写一个基于协方差矩阵分解的波束形成的代码

以下是一个基于协方差矩阵分解的波束形成的C语言代码示例：

#include <stdio.h>
#include <stdlib.h>
#include <math.h>

#define NUM_SENSORS 4  //传感器数量
#define NUM_BEAMS 2    //波束数量

int main()
{
    //生成随机的协方差矩阵
    float cov[NUM_SENSORS][NUM_SENSORS];
    for (int i = 0; i < NUM_SENSORS; i++) {
        for (int j = 0; j < NUM_SENSORS; j++) {
            cov[i][j] = rand() / (float)RAND_MAX;
        }
    }

    //计算协方差矩阵的特征值和特征向量
    float eigenvalues[NUM_SENSORS];
    float eigenvectors[NUM_SENSORS][NUM_SENSORS];
    for (int i = 0; i < NUM_SENSORS; i++) {
        for (int j = 0; j < NUM_SENSORS; j++) {
            if (i == j) {
                eigenvectors[i][j] = 1.0;
            } else {
                eigenvectors[i][j] = 0.0;
            }
        }
    }
    for (int k = 0; k < 100; k++) {  //迭代100次
        for (int i = 0; i < NUM_SENSORS; i++) {
            eigenvalues[i] = 0.0;
            for (int j = 0; j < NUM_SENSORS; j++) {
                eigenvalues[i] += cov[i][j] * eigenvectors[j][k];
            }
        }
        float norm = 0.0;
        for (int i = 0; i < NUM_SENSORS; i++) {
            norm += eigenvalues[i] * eigenvalues[i];
        }
        norm = sqrtf(norm);
        for (int i = 0; i < NUM_SENSORS; i++) {
            eigenvectors[i][k + 1] = eigenvalues[i] / norm;
        }
    }

    //选择特征向量矩阵的前两列作为波束权值矩阵
    float beam_weights[NUM_SENSORS][NUM_BEAMS];
    for (int i = 0; i < NUM_SENSORS; i++) {
        for (int j = 0; j < NUM_BEAMS; j++) {
            beam_weights[i][j] = eigenvectors[i][j];
        }
    }

    //对接收信号进行波束形成
    float received_signal[NUM_SENSORS];
    for (int i = 0; i < NUM_SENSORS; i++) {
        received_signal[i] = rand() / (float)RAND_MAX;
    }
    float beamformed_signal[NUM_BEAMS] = {0.0};
    for (int j = 0; j < NUM_BEAMS; j++) {
        for (int i = 0; i < NUM_SENSORS; i++) {
            beamformed_signal[j] += beam_weights[i][j] * received_signal[i];
        }
    }

    //输出结果
    printf("Received signal: ");
    for (int i = 0; i < NUM_SENSORS; i++) {
        printf("%f ", received_signal[i]);
    }
    printf("\n");
    printf("Beamformed signal: ");
    for (int j = 0; j < NUM_BEAMS; j++) {
        printf("%f ", beamformed_signal[j]);
    }
    printf("\n");

    return 0;
}

该代码生成一个随机的协方差矩阵，然后使用迭代法计算协方差矩阵的特征值和特征向量，选择特征向量矩阵的前两列作为波束权值矩阵，对接收信号进行波束形成，最后输出结果。该代码仅供参考，实际应用中需要根据具体情况进行修改和优化。