Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-01-28 DOI:10.1080/01630563.2023.2171054

Qingyue Zhang, Zhen Guo, Bei Liu, Rui Li

引用次数: 0

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.

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带限矢量函数STFT相位检索的唯一性

摘要在这篇文章中，我们考虑了从STFT（短时傅立叶变换）测量的幅度中提取相位的问题。当信号为一维函数时，建立了STFT相位反演的唯一性。在本文中，我们研究了当信号是二维矢量函数时STFT相位检索的唯一性。并分别证明了带限实值和复值向量函数STFT相位反演的唯一性定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.