Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions
Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions
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DOI：
10.1080/01630563.2023.2171054
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发表时间：
2023-01
影响因子：
1.2
通讯作者：
Qingyue Zhang;Zhen Guo;Bei Liu;Rui Li
中科院分区：
文献类型：
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作者：
Qingyue Zhang;Zhen Guo;Bei Liu;Rui Li
摘要本文研究了利用短时傅里叶变换（STFT）测量值进行相位恢复的问题。当信号为一维函数时，STFT相位恢复的唯一性得到了证明。在这篇文章中，我们研究的唯一性STFT相位恢复时，信号是一个二维矢量函数。证明了带限实值和复值向量函数STFT相位恢复的唯一性定理。
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.