Toeplitz-structured measurement matrix construction for chaotic compressive sensing

There could be difficulties in construction of random measurement matrix. A deterministic method is therefore proposed to construct hybrid chaotic map sparse toeplitz-structured (HcmST) matrix for compressive sensing in this paper. It is proved that HcmST matrix, generated based on hybrid chaos map...

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Bibliographic Details
Published inFifth International Conference on Intelligent Control and Information Processing pp. 19 - 22
Main Author Fuhua Fan
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2014
Subjects
Chaos
Coherence
Compressed sensing
Hybrid power systems
Signal reconstruction
Sparse matrices
Vectors
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ISBN1479936499
9781479936496
DOI10.1109/ICICIP.2014.7010279

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Summary:There could be difficulties in construction of random measurement matrix. A deterministic method is therefore proposed to construct hybrid chaotic map sparse toeplitz-structured (HcmST) matrix for compressive sensing in this paper. It is proved that HcmST matrix, generated based on hybrid chaos map sequence and its uniform sampling with large interval, meets the RIP characteristic with high probability. Simulation experiments show that HcmST matrix is of low accumulative coherence, and hence, support accurate signal reconstruction.
ISBN:1479936499
9781479936496
DOI:10.1109/ICICIP.2014.7010279