基于谐波匹配补偿 (H armonic Matching Compensation , HMC)的时频分析方法matlab代码
时间: 2024-03-05 15:51:40 浏览: 121
以下是基于谐波匹配补偿(HMC)的时频分析方法的 MATLAB 代码示例:
```matlab
function [tf_map] = hmc_analysis(signal, fs, n_harmonics)
% HMC时频分析方法
% 计算信号的希尔伯特变换
analytic_signal = hilbert(signal);
% 计算瞬时频率和瞬时幅度
instantaneous_frequency = diff(unwrap(angle(analytic_signal))) * fs / (2 * pi);
instantaneous_amplitude = abs(analytic_signal);
% 计算谐波频率和幅度
harmonic_freqs = linspace(0, fs / 2, n_harmonics + 1);
harmonic_freqs = harmonic_freqs(2:end);
harmonic_amplitudes = zeros(n_harmonics, length(signal));
for i = 1:n_harmonics
harmonic_amplitudes(i, :) = abs(analytic_signal .* exp(-1j * 2 * pi * harmonic_freqs(i) * (0:length(signal)-1) / fs));
end
% 计算匹配后的瞬时频率和幅度
matched_instantaneous_frequency = zeros(size(instantaneous_frequency));
matched_instantaneous_amplitude = zeros(size(instantaneous_amplitude));
for i = 1:length(instantaneous_frequency)
[~, idx] = min(abs(harmonic_freqs - instantaneous_frequency(i)));
matched_instantaneous_frequency(i) = harmonic_freqs(idx);
matched_instantaneous_amplitude(i) = harmonic_amplitudes(idx, i) / sqrt(harmonic_freqs(idx));
end
% 组合匹配后的瞬时频率和幅度得到时频图
tf_map = zeros(length(harmonic_freqs), length(signal));
for i = 1:length(harmonic_freqs)
idx = find(matched_instantaneous_frequency == harmonic_freqs(i));
tf_map(i, idx) = matched_instantaneous_amplitude(idx);
end
end
```
该函数接受输入信号、采样率和谐波数量,返回时频图。函数中使用了希尔伯特变换、瞬时频率和幅度、谐波频率和幅度以及匹配后的瞬时频率和幅度等计算方法。
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