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A survey on distributed compressed sensing: theory and applications

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Abstract

The compressed sensing (CS) theory makes sample rate relate to signal structure and content. CS samples and compresses the signal with far below Nyquist sampling frequency simultaneously. However, CS only considers the intra-signal correlations, without taking the correlations of the multi-signals into account. Distributed compressed sensing (DCS) is an extension of CS that takes advantage of both the inter- and intra-signal correlations, which is wildly used as a powerful method for the multi-signals sensing and compression in many fields. In this paper, the characteristics and related works of DCS are reviewed. The framework of DCS is introduced. As DCS’s main portions, sparse representation, measurement matrix selection, and joint reconstruction are classified and summarized. The applications of DCS are also categorized and discussed. Finally, the conclusion remarks and the further research works are provided.

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Authors and Affiliations

  1. College of Automation, Chongqing University, Chongqing, 400030, China

    Hongpeng Yin, Jinxing Li & Yi Chai

  2. Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing, 400030, China

    Hongpeng Yin

  3. State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing, 400030, China

    Yi Chai

  4. School of Engineering, University of Guelph, Guelph, N1G 2W1, Canada

    Simon X. Yang

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  1. Hongpeng Yin
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Correspondence to Hongpeng Yin.

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Hongpeng Yin received the BE degree in College of Communication Engineering, Chongqing University in 2003. Then he received PhD degree in control theory and control engineering, Chongqing University. His research interests include computer vision and pattern recognition.

Jinxing Li received the BE degree from Hangzhou Dianzi University in 2012. He is currently working towards the MSc degree at the College of Automation, Chongqing University. His research interests include compressed sensing and computer vision.

Yi Chai received the BE degree from National University of Defense Technology in 1982. He received the MSc and PhD degrees from Chongqing University in 1994 and 2001, respectively. He is the associate dean of the College of Automation, Chongqing University. His research interests include information processing, integration and control, and computer network and system control.

Simon X. Yang received the BE degree in engineering physics from Peking University, Beijing, China, in 1987, the MSc degree in biophysics from the Chinese Academy of Sciences, Beijing, China, in 1990, the MSc degree in electrical engineering from the University of Houston, Houston, TX in 1996, and the PhD degree in electrical and computer engineering from the University of Alberta, Edmonton, AB, Canada in 1999.

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Yin, H., Li, J., Chai, Y. et al. A survey on distributed compressed sensing: theory and applications. Front. Comput. Sci. 8, 893–904 (2014). https://doi.org/10.1007/s11704-014-3461-7

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