Short-time signal analysis and reconstruction

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