A Wirtinger flow algorithm with optimal stepsize for STFT phase retrieval

Haoxing Yang; Jing Xiao; Hongxia Wang; Lizhi Cheng

doi:10.1117/12.2661657

12 April 2023 A Wirtinger flow algorithm with optimal stepsize for STFT phase retrieval

Haoxing Yang, Jing Xiao, Hongxia Wang, Lizhi Cheng

Proceedings Volume 12565, Conference on Infrared, Millimeter, Terahertz Waves and Applications (IMT2022); 125650S (2023) https://doi.org/10.1117/12.2661657
Event: Conference on Infrared, Millimeter, Terahertz Waves and Applications (IMT2022), 2022, Shanghai, China

Abstract

In this paper, we propose a Wirtinger flow algorithm with optimal stepsize for short-time Fourier transform (STFT) phase retrieval. Based on the Wirtinger flow algorithm, we utilizes a noise relaxation to acquire high signal-to-noise-ratio (SNR) reconstruction and an optimal stepsize strategy to accelerate the convergence. The proposed algorithm satisfies the regularity condition for constant modulus signals with noise-free STFT measurements, and has theoretical basin of attraction. Numerical results demonstrate the convergence for noise-free measurements, and the effectiveness in noise reduction.

Citation Download Citation

Haoxing Yang, Jing Xiao, Hongxia Wang, and Lizhi Cheng "A Wirtinger flow algorithm with optimal stepsize for STFT phase retrieval", Proc. SPIE 12565, Conference on Infrared, Millimeter, Terahertz Waves and Applications (IMT2022), 125650S (12 April 2023); https://doi.org/10.1117/12.2661657

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