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On block coherence of frames

Abstract:

Block coherence of matrices plays an important role in analyzing the performance of block compressed sensing recovery algorithms (Bajwa and Mixon, 2012). In this paper, we characterize two block coherence metrics: worst-case and average block coherence. First, we present lower bounds on worst-case block coherence, in both the general case and also when the matrix is constrained to be a union of orthobases. We then present deterministic matrix constructions based upon Kronecker products which ...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1016/j.acha.2014.03.003

Authors


Calderbank, Robert More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Publisher:
Elsevier Publisher's website
Journal:
Applied and Computational Harmonic Analysis Journal website
Volume:
38
Issue:
1
Pages:
50-71
Publication date:
2015-01-05
DOI:
ISSN:
1063-5203
URN:
uuid:eb186ba0-e65e-4f1e-be29-720aa1aee981
Source identifiers:
521209
Local pid:
pubs:521209

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