Open AccessComment on ‘Sparse block circulant matrices for compressed sensing’
Author(s) -
Quan Lei,
Xiao Song,
Wang Mengsi
Publication year - 2014
Publication title -
iet communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.355
H-Index - 62
eISSN - 1751-8636
pISSN - 1751-8628
DOI - 10.1049/iet-com.2014.0032
Subject(s) - circulant matrix , lemma (botany) , block (permutation group theory) , element (criminal law) , diagonal , matrix (chemical analysis) , mathematics , sparse matrix , block matrix , compressed sensing , combinatorics , order (exchange) , computer science , algorithm , discrete mathematics , eigenvalues and eigenvectors , geometry , physics , quantum mechanics , gaussian , ecology , materials science , poaceae , finance , political science , law , economics , composite material , biology
In ‘Sparse block circulant matrices for compressed sensing’, in order to apply Lemma 4, every off‐diagonal element of Gram matrix for the sparse block circulant matrix was separated into two component sums to make sure the terms in each sum are independent. In this comment, however, the authors show that separating every element into two sums is not sufficient to guarantee the independency of the terms in each sum. The authors also prove that the entries should be split into three parts instead of two to satisfy the requirements of Lemma 4. Finally, the authors modify the deduction and the result.