STFT Phase Retrieval: Uniqueness Guarantees and Recovery Algorithms

Autor:	Jaganathan, Kishore, Eldar, Yonina C., Hassibi, Babak
Rok vydání:	2015
Předmět:	Computer Science - Information Theory Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
DOI:	10.1109/JSTSP.2016.2549507
Popis:	The problem of recovering a signal from its Fourier magnitude is of paramount importance in various fields of engineering and applied physics. Due to the absence of Fourier phase information, some form of additional information is required in order to be able to uniquely, efficiently and robustly identify the underlying signal. Inspired by practical methods in optical imaging, we consider the problem of signal reconstruction from the Short-Time Fourier Transform (STFT) magnitude. We first develop conditions under which the STFT magnitude is an almost surely unique signal representation. We then consider a semidefinite relaxation-based algorithm (STliFT) and provide recovery guarantees. Numerical simulations complement our theoretical analysis and provide directions for future work. Comment: IEEE Journal of Selected Topics in Signal Processing 2016
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1508.02820 Zobrazit plný text záznamu View this record from Arxiv