Projected Wirtinger Gradient Descent for Digital Waves Reconstruction
Author:
Liu Suhui,Shi Lelai,Xu Weiyu
Abstract
This work attempts to recover digital signals from a few stochastic samples in time domain. The target signal is the linear combination of one-dimensional complex sine components with R different but continuous frequencies. These frequencies control the continuous values in the domain of normalized frequency [0, 1), contrary to the previous research into compressed sensing. To recover the target signal, the problem was transformed into the completion of a low-rank structured matrix, drawing on the linear property of the Hankel matrix. Based on the completion of the structured matrix, the authors put forward a feasible-point algorithm, analyzed its convergence, and speeded up the convergence with the fast iterative shrinkage-thresholding (FIST) algorithm. The initial algorithm and the speed up strategy were proved effective through repeated numerical simulations. The research results shed new lights on the signal recovery in various fields.
Funder
Scientific Research Project of Education Department of Hubei Province
Publisher
International Information and Engineering Technology Association
Subject
Electrical and Electronic Engineering
Cited by
1 articles.
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