谐波平衡法matlab程序
时间: 2023-08-28 15:22:38 浏览: 130
以下是一个使用谐波平衡法进行谐波分析的MATLAB程序示例:
```matlab
% 读取音频文件
filename = 'audio.wav';
[x, fs] = audioread(filename);
% 设置参数
fundamental_freq = 50; % 基频
num_harmonics = 5; % 谐波数
window_size = 2048; % 窗口大小
overlap_ratio = 0.5; % 重叠比例
% 分帧与窗口函数
hop_size = round(window_size * (1 - overlap_ratio));
num_frames = floor((length(x) - window_size) / hop_size) + 1;
frames = zeros(window_size, num_frames);
for i = 1:num_frames
start_index = (i - 1) * hop_size + 1;
end_index = start_index + window_size - 1;
frames(:, i) = x(start_index:end_index);
end
% 谐波分析
harmonics = zeros(num_harmonics, num_frames);
for i = 1:num_frames
frame = frames(:, i);
spectrum = abs(fft(frame));
fundamental_bin = round(fundamental_freq / (fs / window_size)) + 1;
for j = 1:num_harmonics
harmonic_bin = fundamental_bin * j;
harmonics(j, i) = spectrum(harmonic_bin);
end
end
% 绘制谐波幅度图
t = (0:num_frames-1) * hop_size / fs;
f = (1:num_harmonics) * fundamental_freq;
figure;
surf(t, f, harmonics);
xlabel('时间 (秒)');
ylabel('频率 (Hz)');
zlabel('幅度');
```
请注意,此程序假设输入音频文件为单声道。它首先读取音频文件并设置相关参数,然后将音频信号分帧并应用窗口函数。接下来,对于每个帧,计算其频谱并提取所需的谐波分量。最后,绘制谐波幅度图。
你可以根据实际需求调整参数,并根据需要进行进一步处理或分析。希望对你有所帮助!
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