Non-Convex Recovery from Phaseless Low-Resolution Blind Deconvolution Measurements using Noisy Masked Patterns

2021/11/26 by Samuel Pinilla, Pinilla, Samuel, Kumar Vijay Mishra +3
Engineering · Medicine · #Advanced MRI Techniques and Applications #FOS: Computer and information sciences #FOS: Electrical engineering #Information Theory (cs.IT) #Photoacoustic and Ultrasonic Imaging #Signal Processing (eess.SP) #Sparse and Compressive Sensing Techniques #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2111.13670

openalex publication_date 2021/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper addresses recovery of a kernel \boldsymbolh∈ ℂⁿ and a signal \boldsymbolx∈ ℂⁿ from the low-resolution phaseless measurements of their noisy circular convolution \boldsymboly = | \boldsymbolF_lo( \boldsymbolx\circledast \boldsymbolh) |² + \boldsymbolη, where \boldsymbolF_lo∈ ℂ^{m× n} stands for a partial discrete Fourier transform (m

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