what is the median frequency matlab code?

Prashant Kumar answered . 2025-03-28 18:50:11

To calculate the median frequency of a signal in MATLAB, you can use the following approach. Median frequency is the frequency at which the power spectrum of the signal is divided into two equal parts.

Here is a sample code to calculate the median frequency:

% Generate a sample signal (replace this with your own signal)
fs = 1000; % Sampling frequency
t = 0:1/fs:1-1/fs; % Time vector
x = cos(2*pi*50*t) + 0.5*randn(size(t)); % Sample signal

% Compute the power spectrum of the signal
[Pxx, F] = pwelch(x, [], [], [], fs);

% Calculate the cumulative power
cumulativePower = cumsum(Pxx) / sum(Pxx);

% Find the median frequency
medianFrequencyIndex = find(cumulativePower >= 0.5, 1);
medianFrequency = F(medianFrequencyIndex);

% Display the median frequency
disp(['Median Frequency: ', num2str(medianFrequency), ' Hz']);

 Explanation:
1. Generate Sample Signal: This example generates a sample signal `x` (you can replace it with your own signal).
2. Power Spectrum: The `pwelch` function calculates the power spectral density (`Pxx`) and corresponding frequencies (`F`).
3. Cumulative Power: The cumulative power is calculated using the `cumsum` function.
4. Median Frequency: The median frequency is found where the cumulative power first reaches or exceeds 0.5.
5. Display: Finally, the median frequency is displayed.

This code should help you calculate the median frequency of your signal. 

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