DocumentCode :
1326822
Title :
Matrices With Small Coherence Using p -Ary Block Codes
Author :
Amini, Arash ; Montazerhodjat, Vahid ; Marvasti, Farokh
Author_Institution :
Electr. Eng. Dept., Sharif Univ. of Technol., Tehran, Iran
Volume :
60
Issue :
1
fYear :
2012
Firstpage :
172
Lastpage :
181
Abstract :
In contrast to the vast amount of literature in random matrices in the field of compressed sensing, the subject of deterministic matrix design is at its early stages. Since these deterministic matrices are usually constructed using the polynomials in finite Galois fields, the number of rows (number of samples) is restricted to some specific integers such as prime powers. In this paper, besides extending a previous matrix design based on the binary BCH codes to the p-ary codes, we introduce matrices with wide variety of options for the number of rows. Simulation results demonstrate that these matrices perform almost as well as random matrices.
Keywords :
BCH codes; Galois fields; block codes; compressed sensing; polynomial matrices; binary BCH codes; compressed sensing; deterministic matrix design; finite Galois fields; p-ary block codes; polynomials; random matrices; Coherence; Compressed sensing; Linear matrix inequalities; Sensors; Sparse matrices; Terrorism; Vectors; $p$-ary BCH codes; Compressed sensing; coherences;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/TSP.2011.2169249
Filename :
6025311
Link To Document :
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