Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions. (12th March 2023)

• Record Type: Journal Article
• Authors: Zhang, Qingyue; Guo, Zhenli; Liu, Bei; Li, Rui
• Is Part Of: Numerical functional analysis and optimization. Volume 44:Number 4(2023)
• Page Start: 311
• Page End: 331
• Publication Date: 2023-03-12
• Subjects: Paley-Wiener space -- phase retrieval -- sampling theorem -- short-time Fourier transform -- vector function; 42C15 -- 42C40 -- 41A58; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2023.2171054
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In the article, we consider the problem of phase retrieval from magnitudes of STFT (short-time Fourier transform) measurements. The uniqueness of STFT phase retrieval had been established when the signal is one-dimensional function. In this article, we investigate the uniqueness of STFT phase retrieval when the signal is a two-dimensional vector function. And we prove the uniqueness theorem of STFT phase retrieval for bandlimited real-valued and complex-valued vector functions, respectively.