Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively

Autor:	Xianchen Zhou, Hongxia Wang
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	phase retrieval short-time fourier transform phase propagation relative phase-multiple windows Mathematics QA1-939 Engineering (General). Civil engineering (General) TA1-2040
Zdroj:	Applied Mathematics in Science and Engineering, Vol 30, Iss 1, Pp 688-707 (2022)
Druh dokumentu:	article
ISSN:	2769-0911 27690911
DOI:	10.1080/27690911.2022.2115486
Popis:	We study the Phase Retrieval (PR) problem under the phaseless short-time Fourier transform (STFT) measurements. This paper proposes a novel algorithm named PAR to solve the STFT PR problem in phase and amplitude respectively with a milder retrieval condition compared with the original methods. First, a symmetric undirected graph of signals is proposed for the computation of the relative phase. Then the retrieval conditions of STFT PR problem are discussed for a single window case and some weaker retrieval conditions are proposed compared with the LS method. We also discuss STFT PR problem in multiple windows and establish retrieval theorems without restrictions of sliding step-size L. We give some numerical results of the PAR algorithm.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a166285fbb8d4e9a950ed283c78d5f7e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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