Compressed Sensing Of Complex Sinusoids Off The Grid

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Abstract

To solve off-grid problem in compressed sensing, a new reconstruction algorithm for complex sinusoids is proposed. The compressed sensing reconstruction problem is transformed into a joint optimized problem. Based on coordinate descent approach and linear estimator, a new iteration algorithm is proposed. The results of experiments verify the effectiveness of the proposed method.

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  • [1] CHI Y.—SCGARF L. L.—PEZESHKI A.—CALDERBANK A. R. : Sensitivity to Basis Mismatch in Compressed Sensing IEEE Trans. Signal Process. 59 No. 5 (2011) 2182–2195.

  • [2] CHAE D. H.—SADEGHI P.—KENNEDY R. A. : Effects of Basis-Mismatch in Compressive Sampling of Continuous Sinusoidal Signals 2nd Int. Conf. Future Comput. Commun. Wuhan China May 2010 pp. 739–743.

  • [3] MALIOUTOV D.—CETIN M.—WILLSKY A. S. : A Sparse Signal Reconstruction Perspective for Source Localization with Sensor Arrays IEEE Trans. Signal Process. 53 No. 8 (2005) 3010–3022.

  • [4] FANGJIANG A.—LIAO W. : Coherence Pattern-Guided Compressive Sensing with Unresolved Grids SIAM J. Imag. Sci. 5 No. 1 (2012) 179–202.

  • [5] ZHU H.—LEUS G.—GIANNAKIS G. B. : Sparsity-Congnizant Total Least-Squares for Perturbed Compressive Sampling IEEE Trans. Signal Process. 59 No. 5 (2011) 2002–2016.

  • [6] YANG Z.—ZHANG C.—XIE L. : Robustly Stable Signal Recovery in Compressed Sensing with Structured Matrix Perturbation IEEE Trans. Signal Process. 60 No. 9 (2012) 4658–4671.

  • [7] DUARTE M. F.—BARANIUK R. G. : Spectral Compressive Sensing Appl. Comput. Harmon. Anal. 35 No. 1 (2013) 111–129.

  • [8] HU L.—SHI Z.—ZHOU J.—FU Q. : Compressed Sensing of Complex Sinusoids: an Approach based on Dictionary Refinement IEEE Trans. Signal Process. 60 No. 7 (2012) 3809–3822.

  • [9] HU L.—ZHOU J.—SHI Z.—FU Q. : A Fast and Accurate Reconstruction Algorithm for Compressed Sensing of Complex Sinusoids IEEE Trans. Signal Process. 61 No. 22 (2013) 5744–5754.

  • [10] TANG G.—BHASKAR B. N.—SHAH P.—RECHT B. : Compressed Sensing off the Grid IEEE Trans. Inf. Theory 59 No. 11 (2013) 7465–7490.

  • [11] ZHU X. X.—BAMLER R. : Super-Resolution Power and Robustness of Compressive Sensing for Spectral Estimation with Application to Spaceborne Tomographic SAR IEEE Trans. Geosci. Remote Sens. 50 No. 1 (2011) 247–258.

  • [12] GORODNITSKY I. F.—RAO B. D. : Sparse Signal Reconstruction from Limited Data using FOCUSS: A Re-weighed Minimum Norm Algorithm IEEE Trans. Signal Process. 45 No. 3 (1997) 600–616.

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