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http://dx.doi.org/10.7840/kics.2015.40.6.1024

A Signal Detection and Estimation Method Based on Compressive Sensing  

Nguyen, Thu L.N. (School of Electronic Engineering, Soongsil University)
Jung, Honggyu (School of Electronic Engineering, Soongsil University)
Shin, Yoan (School of Electronic Engineering, Soongsil University)
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.40, no.6, 2015 , pp. 1024-1031 More about this Journal
Abstract
Compressive sensing is a new data acquisition method enabling the reconstruction of sparse or compressible signals from a smaller number of measurements than Nyquist rate, as long as the signal is sparse and the measurement is incoherent. In this paper, we consider a simple hypothesis testing in target detection and estimation problems using compressive sensing, where the performance depends on the sparsity level of the signals being detected. We provide theoretical analysis results along with some experiment results.
Keywords
Compressive Sensing; RIP; Sparsity; Detection; Estimation;
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1 D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289- 1306, Apr. 2006.   DOI   ScienceOn
2 E. Candes, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, Feb. 2006.   DOI   ScienceOn
3 S. Dasgupta and A. Gupta, An elementary proof of the Johnson-Lindenstrauss lemma, Tech. Rep. TR-99-006, Berkeley, USA, 1999.
4 P. Indyk, "Explicit constructions for compressed sensing matrices," in Proc. ACM-SIAM SODA 2008, pp. 30-33, San Francisco, USA, Jan. 2008.
5 E. Candes, "Compressive sampling," in Proc. Int. Congress Math., vol. 3, pp. 1433-1452, Madrid, Spain, Aug. 2006.
6 B. C. Levy, Principles of Signal Detection and Parameter Estimation, Ch. 2, Springer Science & Business Media, 2008.
7 M. A. Davenport, P. T. Boufounos, M. B. Wakin, and R. G. Baraniuk, "Signal processing with compressive measurements," IEEE J. Sel. Topics in Signal Proc., vol. 4, no. 2, pp. 445-460, Apr. 2010.   DOI   ScienceOn
8 G. Reeves and D. Donoho, "The minimax noise sensitivity in compressed sensing," in Proc. IEEE ISIT 2013, pp. 116-120, Istanbul, Turkey, Jul. 2013.