Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:C1L-A
Session:
Number:C1L-A3
Compressive Sensing with Measurement Matrix Constructed by Cat Map
Yan-jie Song, Wei Zhang, Fang-da Guo, Hai Yu, Zhi-liang Zhu,
pp.389-392
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
A new approach to construct the measurement matrix in compressive sensing is proposed. In this approach, a circulant matrix is first generated by a modified cat map and a random sequence. Then it is optimized through solving the problem of sparse optimization and becomes the measurement matrix used in compressive sensing. The proposed measurement matrix is compared with the Bernoulli and chaos-based random measurement matrices before and after optimization. The results show that our construction method leads to a higher reconstruction fidelity.