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Vol. 165, Issue 2, February 2014, pp. 119-124

 

Bullet

 

Compressive Sensing with Tent Chaotic Sequence
 

Li Liu, Peng Yang, Jianguo Zhang, Huayu Ja

Key Lab of Advanced Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China

College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China

E-mail: liu_li82@163.com

 

Received: 11 November 2013 /Accepted: 28 January 2014 /Published: 28 February 2014

Digital Sensors and Sensor Sysstems

 

Abstract: Compressive sensing is a new sampling theory to capture signals at sub-Nyquist rate. To guarantee exact recovery from sparse measurements, specific sensing matrix, which satisfies the Restricted Isometry Property, should be well chosen. Random matrix has been proved to meet the property with high probability; however, the practical implementation is expensive in hardware design. Chaotic matrices which generated by Logistic sequence, Chua and Lorenz dynamical systems have been verified to be Toeplitz-structured and sufficient to satisfy the property. In this paper, we propose that another chaotic sequence - Tent map can also be used to construct the sensing matrix. By numerical performance, we show that, the proposed Tent chaotic sensing matrix has similar performance to random matrix or Logistic chaotic matrix for exact reconstructing compressible signals and images from fewer measurements.

 

Keywords: Compressive Sensing, Reconstruction, Chaos, Tent Map, Logistic Map.

 

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