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Compressive Sensing With Chaotic Sequence

delete2010-08-01
delete190
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OA
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L
Lei Yu *
G
Gang Zheng
DOI:10.1109/LSP.2010.2052243delete
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Abstract

Abstract

En 中文
Compressive sensing is a new methodology to capture signals at sub-Nyquist rate. To guarantee exact recovery from compressed measurements, one should choose specific matrix, which satisfies the Restricted Isometry Property (RIP), to implement the sensing procedure. In this letter, we propose to construct the sensing matrix with chaotic sequence following a trivial method and prove that with overwhelming probability, the RIP of this kind of matrix is guaranteed. Meanwhile, its experimental comparisons with Gaussian random matrix, Bernoulli random matrix and sparse matrix are carried out and show that the performances among these sensing matrix are almost equal.
Keywords:
Chaos
compressive sensing
logistic map
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Journal

IEEE Signal Processing Magazine cover
IEEE Signal Processing Magazine
IF:
9.6
Papers:
1.1W
Citations:
1.7W

Organization

I
Inria
Scholars:
3.5K
Papers: 2.5K
Citations: 343
W
wuhan university
Scholars:
8.1W
Papers: 5.8W
Citations: 70
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