Optimal Conditions for Signal Reconstruction Based on STFT Magnitude Spectrum

Signal reconstruction based on magnitude spectrum of short term Fourier Transform (STFT) only has been a challenging topic since many years. Whereas theory proves that's completely possible to reconstruct a signal from its magnitude spectrum and minimal phase data, practical implementations are still not able to do that quite accurately. Therefore, this study aims to set the optimal initial conditions required to reconstruct a signal from the STFT magnitude spectrum with an arbitrary or zero initial phase. Results prove that an optimal selection of the frame length, the shift rate and the iterations number allows enhancing the quality of the reconstructed signals.