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Multiple Input Single Output Phase Retrieval

Guo, G, Wang, T, Li, J, Wang, A and Wang, Wenwu (2019) Multiple Input Single Output Phase Retrieval Circuits, Systems and Signal Processing.

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Abstract

In this paper, we consider the problem of recovering the phase information of multiple sources from a mixed phaseless Short-Time Fourier Transform (STFT) measurement, which is called multiple input single output (MISO) phase retrieval problem. It is an inherently ill-posed problem due to the lack of the phase and mixing information, and the existing phase retrieval algorithms are not explicitly designed for this case. To address the MISO phase retrieval problem, a least squares (LS) method coupled with an independent component analysis (ICA) algorithm is proposed for the case of sufficiently long window length. When these conditions are not met, an integrated algorithm is presented, which combines a gradient descent (GD) algorithm by minimizing a non-convex loss function with an ICA algorithm. Experimental evaluation has been conducted to show that under appropriate conditions the proposed algorithms can explicitly recover the signals, the phases of the signals and the mixing matrix. In addition, the algorithm is robust to noise

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
NameEmailORCID
Guo, G
Wang, T
Li, J
Wang, A
Wang, WenwuW.Wang@surrey.ac.uk
Date : 19 January 2019
DOI : 10.1007/s00034-019-01030-3
Copyright Disclaimer : © Springer Science+Business Media, LLC, part of Springer Nature 2019
Uncontrolled Keywords : Multiple input single output (MISO) · phase retrieval · shorttime Fourier transform (STFT) · non-convex optimization · independent component analysis (ICA
Depositing User : Rebecca Cooper
Date Deposited : 25 Jan 2019 11:33
Last Modified : 09 Jan 2020 02:08
URI: http://epubs.surrey.ac.uk/id/eprint/850278

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