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Multi-Source Phase Retrieval from Multi-channel Phaseless STFT Measurements

Guo, Y, Wang, A and Wang, Wenwu (2017) Multi-Source Phase Retrieval from Multi-channel Phaseless STFT Measurements Signal Processing, 144. pp. 36-40.

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In a recent study, it was shown that, given only the magnitude of the short-time Fourier transform (STFT) of a signal, it is possible to recover the phase information of its STFT under certain conditions. However, this is only investigated for the single-source scenario. In this paper , we extend this work and formulate a multi-source phase re- trieval problem where multi-channel phaseless STFT measurements are given as input . We then present a robust multi-source phase retrieval (RMSPR) algorithm based on a gradient descent (GD) algorithm by minimizing a non-convex loss function and inde- pendent component analysis (ICA). An improved least squares (LS) loss function is presented to find the initialization of the GD algorithm. Experimental evaluation has been conducted to show that under appropriate conditions the proposed algorithm can explicitly recover the phase of the sources, the mixing matrix, and the sources simulta- neously, from noisy measurements.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
Guo, Y
Wang, A
Date : 28 September 2017
DOI : 10.1016/j.sigpro.2017.09.026
Copyright Disclaimer : © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Uncontrolled Keywords : Multi-source phase retrieval, short-time Fourier transform (STFT), non-convex optimization, independent component analysis (ICA)
Depositing User : Melanie Hughes
Date Deposited : 01 Mar 2018 14:17
Last Modified : 28 Sep 2018 02:08

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