Phase Retrieval from Multiple-Window Short-Time Fourier Measurements

Lan Li; Cheng Cheng; Deguang Han; Qiyu Sun; Guangming Shi

doi:10.1109/LSP.2017.2663668

Phase Retrieval from Multiple-Window Short-Time Fourier Measurements

Lan Li, Cheng Cheng, Deguang Han, Qiyu Sun, Guangming Shi

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

29 Citations (Scopus)

Abstract

In this paper, we introduce two undirected graphs depending on supports of signals and windows, and we show that the connectivity of those graphs provides either necessary or sufficient conditions to phase retrieval of a signal from magnitude measurements of its multiple-window short-time Fourier transform. Also, we propose an algebraic reconstruction algorithm, and provide an error estimate to our algorithm when magnitude measurements are corrupted by deterministic/random noises. © 2017 IEEE.

Original language	English
Article number	7839910
Pages (from-to)	372-376
Journal	IEEE Signal Processing Letters
Volume	24
Issue number	4
DOIs	https://doi.org/10.1109/LSP.2017.2663668
Publication status	Published - 1 Apr 2017
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

Phase retrieval
short-time Fourier transform (STFT)

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title = "Phase Retrieval from Multiple-Window Short-Time Fourier Measurements",

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AU - Li, Lan

AU - Cheng, Cheng

AU - Han, Deguang

AU - Sun, Qiyu

AU - Shi, Guangming

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PY - 2017/4/1

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N2 - In this paper, we introduce two undirected graphs depending on supports of signals and windows, and we show that the connectivity of those graphs provides either necessary or sufficient conditions to phase retrieval of a signal from magnitude measurements of its multiple-window short-time Fourier transform. Also, we propose an algebraic reconstruction algorithm, and provide an error estimate to our algorithm when magnitude measurements are corrupted by deterministic/random noises. © 2017 IEEE.

AB - In this paper, we introduce two undirected graphs depending on supports of signals and windows, and we show that the connectivity of those graphs provides either necessary or sufficient conditions to phase retrieval of a signal from magnitude measurements of its multiple-window short-time Fourier transform. Also, we propose an algebraic reconstruction algorithm, and provide an error estimate to our algorithm when magnitude measurements are corrupted by deterministic/random noises. © 2017 IEEE.

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M3 - RGC 21 - Publication in refereed journal

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JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

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ER -

Phase Retrieval from Multiple-Window Short-Time Fourier Measurements

Abstract

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Research Keywords

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