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Expanding Window Compressed Sensing for Non-Uniform Compressible Signals
Key Lab of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China
Department of Electronics and Computer Engineering, Hanyang University, Seoul 133791, Korea
* Author to whom correspondence should be addressed.
Received: 7 June 2012; in revised form: 28 August 2012 / Accepted: 13 September 2012 / Published: 26 September 2012
Abstract: Many practical compressible signals like image signals or the networked data in wireless sensor networks have non-uniform support distribution in their sparse representation domain. Utilizing this prior information, a novel compressed sensing (CS) scheme with unequal protection capability is proposed in this paper by introducing a windowing strategy called expanding window compressed sensing (EW-CS). According to the importance of different parts of the signal, the signal is divided into several nested subsets, i.e., the expanding windows. Each window generates its own measurements using a random sensing matrix. The more significant elements are contained by more windows, so they are captured by more measurements. This design makes the EW-CS scheme have more convenient implementation and better overall recovery quality for non-uniform compressible signals than ordinary CS schemes. These advantages are theoretically analyzed and experimentally confirmed. Moreover, the EW-CS scheme is applied to the compressed acquisition of image signals and networked data where it also has superior performance than ordinary CS and the existing unequal protection CS schemes.
Keywords: compressed sensing; image compression; networked data; non-uniform compressible signal; random projection; unequal protection
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MDPI and ACS Style
Liu, Y.; Zhu, X.; Zhang, L.; Cho, S.H. Expanding Window Compressed Sensing for Non-Uniform Compressible Signals. Sensors 2012, 12, 13034-13057.
Liu Y, Zhu X, Zhang L, Cho SH. Expanding Window Compressed Sensing for Non-Uniform Compressible Signals. Sensors. 2012; 12(10):13034-13057.
Liu, Yu; Zhu, Xuqi; Zhang, Lin; Cho, Sung Ho. 2012. "Expanding Window Compressed Sensing for Non-Uniform Compressible Signals." Sensors 12, no. 10: 13034-13057.