TY - JOUR
T1 - A Weighted Convex Optimized Phase Retrieval Method for Short-Time Fourier Transform Measurement With Outliers
AU - Fu, Ning
AU - Li, Xiaodong
AU - Zheng, Pinjun
AU - Qiao, Liyan
N1 - KAUST Repository Item: Exported on 2023-09-27
Acknowledgements: This work was supported in part by the National Natural Science Foundation of China (NSFC) under Grant 62071149 and Grant 61671177 and in part by the National Key Research and Development Program of China under Grant 2022YFB3304000.
PY - 2023/9/20
Y1 - 2023/9/20
N2 - As a problem of reconstructing the original signal from phaseless short-time Fourier transform (STFT) measurement, STFT phase retrieval (PR) is widespread in many fields. The existing PR algorithms for STFT measurement can uniquely determine the original signal (up to a global phase), however they are invalid when outlier interference exists. Aiming at this problem, we propose a weighted convex optimization PR method by introducing a weight matrix that can identify outliers. Meanwhile, a two-channel phaseless measurement structure based on the mask technique and the corresponding calculation algorithm are proposed to obtain the weight matrix. In particular, by accumulating the measurement results of all short-time segments, the support of outliers can be well identified in the weight matrix calculation. Simulation and hardware experiments demonstrate the performance improvement of the proposed approach compared to the existing methods, which shows its effectiveness in suppressing outlier interference.
AB - As a problem of reconstructing the original signal from phaseless short-time Fourier transform (STFT) measurement, STFT phase retrieval (PR) is widespread in many fields. The existing PR algorithms for STFT measurement can uniquely determine the original signal (up to a global phase), however they are invalid when outlier interference exists. Aiming at this problem, we propose a weighted convex optimization PR method by introducing a weight matrix that can identify outliers. Meanwhile, a two-channel phaseless measurement structure based on the mask technique and the corresponding calculation algorithm are proposed to obtain the weight matrix. In particular, by accumulating the measurement results of all short-time segments, the support of outliers can be well identified in the weight matrix calculation. Simulation and hardware experiments demonstrate the performance improvement of the proposed approach compared to the existing methods, which shows its effectiveness in suppressing outlier interference.
UR - http://hdl.handle.net/10754/694642
UR - https://ieeexplore.ieee.org/document/10256049/
U2 - 10.1109/tim.2023.3317376
DO - 10.1109/tim.2023.3317376
M3 - Article
SN - 0018-9456
SP - 1
EP - 1
JO - IEEE Transactions on Instrumentation and Measurement
JF - IEEE Transactions on Instrumentation and Measurement
ER -