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Open AccessArticle

Expanding Window Compressed Sensing for Non-Uniform Compressible Signals

by Yu Liu 1,*, Xuqi Zhu 1, Lin Zhang 1 and Sung Ho Cho 2
1
Key Lab of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China
2
Department of Electronics and Computer Engineering, Hanyang University, Seoul 133791, Korea
*
Author to whom correspondence should be addressed.
Sensors 2012, 12(10), 13034-13057; https://doi.org/10.3390/s121013034
Received: 7 June 2012 / Revised: 28 August 2012 / Accepted: 13 September 2012 / Published: 26 September 2012
(This article belongs to the Special Issue Ubiquitous Sensing)
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. View Full-Text
Keywords: compressed sensing; image compression; networked data; non-uniform compressible signal; random projection; unequal protection compressed sensing; image compression; networked data; non-uniform compressible signal; random projection; unequal protection
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.

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