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Non-Convex Recovery from Phaseless Low-Resolution Blind Deconvolution Measurements using Noisy Masked Patterns
[article]
2021
arXiv
pre-print
This paper addresses recovery of a kernel h∈ℂ^n and a signal x∈ℂ^n from the low-resolution phaseless measurements of their noisy circular convolution y = |F_lo( x⊛h) |^2 + η, where F_lo∈ℂ^m× n stands for a partial discrete Fourier transform (m<n), η models the noise, and |·| is the element-wise absolute value function. This problem is severely ill-posed because both the kernel and signal are unknown and, in addition, the measurements are phaseless, leading to many x-h pairs that correspond to
arXiv:2111.13670v4
fatcat:4lpolc6j3zdtdj5tzkk6kmbtqm