相位恢复
计算机科学
算法
相(物质)
短时傅里叶变换
傅里叶变换
时频分析
作者
Yina Guo,Anhong Wang,Wenwu Wang
标识
DOI:10.1016/j.sigpro.2017.09.026
摘要
In a recent study, it was shown that, given only the magnitude of the short-time Fourier
transform (STFT) of a signal, it is possible to recover the phase information of its
STFT under certain conditions. However, this is only investigated for the single-source
scenario. In this
paper
, we extend this work and formulate a multi-source phase re-
trieval problem
where multi-channel phaseless STFT measurements are given as input
.
We then present a robust multi-source phase retrieval (RMSPR) algorithm based on a
gradient descent (GD)
algorithm by minimizing a non-convex loss function and inde-
pendent component analysis (ICA). An improved least squares (LS) loss function is
presented to find the initialization of the GD algorithm. Experimental evaluation has
been conducted to show that under appropriate conditions the proposed algorithm can
explicitly recover the phase of the sources, the mixing matrix, and the sources simulta-
neously, from noisy measurements.
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