Expanding Window Compressed Sensing for Non-Uniform Compressible Signals
- Authors
- Liu, Yu; Zhu, Xuqi; Zhang, Lin; Cho, Sung Ho
- Issue Date
- Oct-2012
- Publisher
- MDPI
- Keywords
- compressed sensing; image compression; networked data; non-uniform compressible signal; random projection; unequal protection
- Citation
- SENSORS, v.12, no.10, pp.13034 - 13057
- Indexed
- SCIE
SCOPUS
- Journal Title
- SENSORS
- Volume
- 12
- Number
- 10
- Start Page
- 13034
- End Page
- 13057
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/164579
- DOI
- 10.3390/s121013034
- ISSN
- 1424-8220
- 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.
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