when working with a single stft windowed signal, how can you correct for doppler shift in a .wav file? in matlab

To correct for Doppler shift in a .wav file when working with a single STFT windowed signal in MATLAB, you can use the following steps:

1. Read the .wav file using audioread function.
2. Choose a specific windowing function to analyze a single segment of the audio signal.
3. Calculate the STFT of the selected windowed segment using the spectrogram function.
4. Perform Doppler shift correction by modifying the phase of the signal in the frequency domain.
5. Use the corrected STFT to reconstruct the corrected audio signal.
6. Write the corrected audio signal to a new .wav file using the audiowrite function.

Here is example code to correct for Doppler shift in MATLAB:

main.m
% Read the input .wav file
[y, Fs] = audioread('input_file.wav');

% Define the window size and overlap
windowSize = 1024;
overlap = 512;

% Choose a specific windowing function
window = hamming(windowSize);

% Perform STFT
[S, f, t] = spectrogram(y, window, overlap, 2*windowSize, Fs);

% Perform Doppler shift correction by modifying the phase
dopplerFactor = 1.1; % Adjust based on the observed shift
S_corrected = S .* exp(-1i*2*pi*dopplerFactor.*f);

% Reconstruct the corrected signal
y_corrected = istft(S_corrected, window, overlap, windowSize);

% Write the corrected signal to a new .wav file
audiowrite('corrected_file.wav', y_corrected, Fs);
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Make sure to adjust the dopplerFactor based on the observed shift in the signal.