Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.