On the uniqueness of the sparse signals reconstruction based on the missing samples variation analysis
type: Item
instance of: scholarly article
title: On the uniqueness of the sparse signals reconstruction based on the missing samples variation analysis
zbMATH Open document ID: 1395.94162
DOI: 10.1155/2015/629759
author: Miloš Daković
author: Ljubiša Stanković
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: An approach to sparse signals reconstruction considering its missing measurements/samples as variables is recently proposed. Number and positions of missing samples determine the uniqueness of the solution. It has been assumed that analyzed signals are sparse in the discrete Fourier transform (DFT) domain. A theorem for simple uniqueness check is proposed. Two forms of the theorem are presented, for an arbitrary sparse signal and for an already reconstructed signal. The results are demonstrated on illustrative and statistical examples.
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 6926851
Wikidata QID: Q59119175
describes a project that uses: CoSaMP
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/629759
OpenAlex ID: W2217375132
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description: scientific article; zbMATH DE number 6926851