Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2022-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/27690911.2022.2115486 |
| _version_ | 1797641022884282368 |
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| author | Xianchen Zhou Hongxia Wang |
| author_facet | Xianchen Zhou Hongxia Wang |
| author_sort | Xianchen Zhou |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T13:39:37Z |
| format | Article |
| id | doaj.art-a166285fbb8d4e9a950ed283c78d5f7e |
| institution | Directory Open Access Journal |
| issn | 2769-0911 |
| language | English |
| last_indexed | 2024-03-11T13:39:37Z |
| publishDate | 2022-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj.art-a166285fbb8d4e9a950ed283c78d5f7e2023-11-02T13:48:31ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112022-12-0130168870710.1080/27690911.2022.21154862115486Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectivelyXianchen Zhou0Hongxia Wang1National University of Defense TechnologyNational University of Defense TechnologyWe 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.http://dx.doi.org/10.1080/27690911.2022.2115486phase retrievalshort-time fourier transformphase propagationrelative phase-multiple windows |
| spellingShingle | Xianchen Zhou Hongxia Wang Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively Applied Mathematics in Science and Engineering phase retrieval short-time fourier transform phase propagation relative phase-multiple windows |
| title | Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively |
| title_full | Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively |
| title_fullStr | Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively |
| title_full_unstemmed | Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively |
| title_short | Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively |
| title_sort | solving multiple windowed stft phase retrieval problems in phase and amplitude respectively |
| topic | phase retrieval short-time fourier transform phase propagation relative phase-multiple windows |
| url | http://dx.doi.org/10.1080/27690911.2022.2115486 |
| work_keys_str_mv | AT xianchenzhou solvingmultiplewindowedstftphaseretrievalproblemsinphaseandamplituderespectively AT hongxiawang solvingmultiplewindowedstftphaseretrievalproblemsinphaseandamplituderespectively |