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Content Provider | IET Digital Library |
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Author | Chen, Sheng Yao Xi, Feng Liu, Zhong |
Abstract | Chaotic compressive sensing is a non-linear framework for compressive sensing. Along the framework, this study proposes a chaotic analogue-to-information converter, ‘chaotic modulation’, to acquire and reconstruct band-limited sparse analogue signals at sub-Nyquist rate. In the chaotic modulation, the sparse signal is randomised through state modulation of continuous-time chaotic system and one state output is sampled as compressive measurements. The reconstruction is achieved through the estimation of the sparse coefficients with the principle of chaotic impulsive synchronisation and lp -norm regularised non-linear least squares. The concept of supreme local Lyapunov exponents (SLLE) is introduced to study the reconstructablity. It is found that the sparse signals are reconstructable, if the largest SLLE of the error dynamic system is negative. As examples, the Lorenz system and the Liu system excited by sparse multi-tone signals are taken to illustrate the principle and the performance. |
Starting Page | 373 |
Ending Page | 380 |
Page Count | 8 |
ISSN | 17519675 |
Volume Number | 8 |
e-ISSN | 17519683 |
Issue Number | Issue 4, Jun (2014) |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-spr/8/4 |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2013.0171 |
Journal | IET Signal Processing |
Publisher Date | 2013-10-21 |
Access Restriction | Open |
Rights Holder | © The Institution of Engineering and Technology |
Subject Keyword | A/D And D/A Convertor Analogue-Digital Conversion Band-limited Sparse Analogue Signal Reconstruction Chaos Chaotic Analogue-to-information Conversion Chaotic Compressive Sensing Chaotic Impulsive Synchronisation Chaotic State Modulation Compressed Sensing Compressive Measurement Continuous-time Chaotic System Digital Signal Processing Error Dynamic System Interpolation And Function Approximation Least Squares Approximation Liu System Lorenz System Lp-norm Regularised Nonlinear Least Squares Lyapunov Method Modulation Modulation And Coding Method Numerical Analysis Signal Processing And Detection Signal Reconstruction SLLE Sparse Coefficient Sparse Multitone Signal SubNyquist Rate Supreme Local Lyapunov Exponents |
Content Type | Text |
Resource Type | Article |
Subject | Signal Processing Electrical and Electronic Engineering |
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