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Sensors 2014, 14(4), 5929-5951; doi:10.3390/s140405929
Article

A Fast and Accurate Sparse Continuous Signal Reconstruction by Homotopy DCD with Non-Convex Regularization

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Received: 26 January 2014; in revised form: 10 March 2014 / Accepted: 24 March 2014 / Published: 26 March 2014
(This article belongs to the Section Physical Sensors)
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Abstract: In recent years, various applications regarding sparse continuous signal recovery such as source localization, radar imaging, communication channel estimation, etc., have been addressed from the perspective of compressive sensing (CS) theory. However, there are two major defects that need to be tackled when considering any practical utilization. The first issue is off-grid problem caused by the basis mismatch between arbitrary located unknowns and the pre-specified dictionary, which would make conventional CS reconstruction methods degrade considerably. The second important issue is the urgent demand for low-complexity algorithms, especially when faced with the requirement of real-time implementation. In this paper, to deal with these two problems, we have presented three fast and accurate sparse reconstruction algorithms, termed as HR-DCD, Hlog-DCD and Hlp-DCD, which are based on homotopy, dichotomous coordinate descent (DCD) iterations and non-convex regularizations, by combining with the grid refinement technique. Experimental results are provided to demonstrate the effectiveness of the proposed algorithms and related analysis.
Keywords: compressed sensing; sparse continuous signal recovery; off-grid problem; low-complexity reconstruction; non-convex regularization compressed sensing; sparse continuous signal recovery; off-grid problem; low-complexity reconstruction; non-convex regularization
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Wang, T.; Lu, X.; Yu, X.; Xi, Z.; Chen, W. A Fast and Accurate Sparse Continuous Signal Reconstruction by Homotopy DCD with Non-Convex Regularization. Sensors 2014, 14, 5929-5951.

AMA Style

Wang T, Lu X, Yu X, Xi Z, Chen W. A Fast and Accurate Sparse Continuous Signal Reconstruction by Homotopy DCD with Non-Convex Regularization. Sensors. 2014; 14(4):5929-5951.

Chicago/Turabian Style

Wang, Tianyun; Lu, Xinfei; Yu, Xiaofei; Xi, Zhendong; Chen, Weidong. 2014. "A Fast and Accurate Sparse Continuous Signal Reconstruction by Homotopy DCD with Non-Convex Regularization." Sensors 14, no. 4: 5929-5951.


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