Retrieval of the phase of a signal is one of the major problems in signal processing. For an exact signal reconstruction, both magnitude, and phase spectrum of the signal is required. In many speech-based applications, only the magnitude spectrum is processed and the phase is ignored, which leads to degradation in the performance. Here, we propose a novel technique that enables the reconstruction of the speech signal from magnitude spectrum only. We consider the even-odd part decomposition of a causal sequence and process only on the real part of the DTFT of the signal. We propose the shifting of the real part of DTFT of the sequence to make it non-negative. By adding a constant of sufficient value to the real part of the DTFT, the exact signal reconstruction is possible from the magnitude or power spectrum alone. Moreover, we have compared our proposed approach with recently proposed phase retrieval method from magnitude spectrum of the Causal Delta Dominant (CDD) signal. We found that the method of phase retrieval from CDD signal and proposed method are identical under certain approximation. However, proposed method involves the less computational cost for the exact processing of the signal.
Cite as: Soni, M.H., Tak, R., Patil, H.A. (2017) Novel Shifted Real Spectrum for Exact Signal Reconstruction. Proc. Interspeech 2017, 3112-3116, doi: 10.21437/Interspeech.2017-1422
@inproceedings{soni17_interspeech,
author={Meet H. Soni and Rishabh Tak and Hemant A. Patil},
title={{Novel Shifted Real Spectrum for Exact Signal Reconstruction}},
year=2017,
booktitle={Proc. Interspeech 2017},
pages={3112--3116},
doi={10.21437/Interspeech.2017-1422}
}