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Short-time signal analysis and reconstruction

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Given an array of signal frames x wherein each row of x corrresponds to a signal frame, how can I perform this one on matlab:
For each frame(row):
-read the frame
-do FFT using fftshift(fft())
-calculate the spectral magnitude
-do the ifft
-get real part of ifft
-concatenate with the real parts of the previous frame to create a single reconstructed signal vector

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