Iterative reconstruction of speech from short-time Fourier transform phase and magnitude spectra

In this paper, we consider the topic of iterative, one dimensional, signal reconstruction (specifically speech signals) from the magnitude spectrum and the phase spectrum. While this topic has been extensively researched and documented, we wish to recast some well-established results for the benefit of new researchers and those who desire a short, yet comprehensive, review of the subject. The three main points of the review are: (i) a signal can be reconstructed to within a scale factor from its phase spectrum, (ii) a signal cannot be reconstructed to within a scale factor from its magnitude spectrum, and (iii) a signal can be reconstructed to within a scale factor from its magnitude spectrum when the phase-sign (i.e., one bit of phase spectrum information) is known. Through a number of illustrative examples, we first demonstrate how the algorithms work when the spectral information is determined over the entire duration of the signal. We then demonstrate that the algorithms are eq...

• Type: Journal
• Year: 2007
• Where: CSL
• Authors: Leigh D. Alsteris, Kuldip K. Paliwal
• Keywords: Automated Reasoning, CSL 2007, Magnitude Spectrum, Phase Spectrum, Scale Factor