Phase Retrieval From Multiple-Window Short-Time Fourier Measurements
Keywords
Phase retrieval; short-time Fourier transform (STFT)
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.
Publication Date
4-1-2017
Publication Title
IEEE Signal Processing Letters
Volume
24
Issue
4
Number of Pages
372-376
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1109/LSP.2017.2663668
Copyright Status
Unknown
Socpus ID
85017514698 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/85017514698
STARS Citation
Li, Lan; Cheng, Cheng; Han, Deguang; Sun, Qiyu; and Shi, Guangming, "Phase Retrieval From Multiple-Window Short-Time Fourier Measurements" (2017). Scopus Export 2015-2019. 5787.
https://stars.library.ucf.edu/scopus2015/5787