Performance Improvement of Compressed Sensing Reconstruction using Modified-AMP algorithm

Compressed sensing (CS) is an emerging field which enables the undersampling of sparse signals rather than at the Nyquist rate. But the main computational challenge involved is in the reconstruction process as it is nonlinear in nature and the solution is obtained by solving a set of under determined linear equations. Greedy algorithms offer the solution to these kinds of problems with less computational complexity than the convex relaxations or linear programming methods. The approximate message passing algorithm offers accurate reconstruction of even the approximately sparse signals with reasonable computational intensity. In this paper, we have implemented a modified version of AMP algorithm and obtained a 50 % reduction in mean squared error and an improvement in signal-to-noise ratio.

[1]  Andrea Montanari,et al.  Message-passing algorithms for compressed sensing , 2009, Proceedings of the National Academy of Sciences.

[2]  E. Candès,et al.  Stable signal recovery from incomplete and inaccurate measurements , 2005, math/0503066.

[3]  T. Blumensath,et al.  Iterative Thresholding for Sparse Approximations , 2008 .

[4]  Richard G. Baraniuk,et al.  VLSI Design of Approximate Message Passing for Signal Restoration and Compressive Sensing , 2012, IEEE Journal on Emerging and Selected Topics in Circuits and Systems.

[5]  K. P. Soman,et al.  Spectrum Sensing using Compressed Sensing Techniques for Sparse Multiband Signals , 2012 .

[6]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[7]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[8]  E. Candès,et al.  Sparsity and incoherence in compressive sampling , 2006, math/0611957.

[9]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[10]  Andrea Montanari,et al.  Graphical Models Concepts in Compressed Sensing , 2010, Compressed Sensing.

[11]  E.J. Candes,et al.  An Introduction To Compressive Sampling , 2008, IEEE Signal Processing Magazine.