Fast L1 solvers for sparse signal recovery

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Fast L1 solvers for sparse signal recovery Himanshu Sharma Digital Video Broadcasting Laboratory Ilmenau University of Technology P. O. Box 100565, D-98684 Ilmenau, Germany Email: { himanshu.sharma }@tu-ilmenau.de Abstract — Increasing pressure on DSP hardware and algorithm has given rise a new concept in signal processing. Compressed sensing has started a new era in signal processing, where signal can be reconstructed at receiver side with very less number of samples. With the increase in complexity at the receiver side, it is immensely important to analyze and study the reconstruction techniques. l1 minimization solves the minimum l1 -norm solution to an under determined linear system. It has recently received much attention, mainly motivated by the new compressed sensing theory that shows that under certain conditions an l1 -minimization solution is also the sparsest solution to that system. In this paper we are going to compare already existing reconstruction algorithm for faster as well as more accurate algorithm.

N>>K X

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Fig. 1. Classical approach to measurement and compression, where x represents the signal, N represents signal length, K represents sparsity level

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