Iterative method for simultaneous sparse approximation

Document Type : Article

Authors

1 Advanced Communication Research Institute (ACRI), Electrical Engineering Department, Sharif University of Technology, Tehran,Iran.

2 Advanced Communication Research Institute (ACRI), Electrical Engineering Department, Sharif University of Technology, Tehran, Iran.

Abstract

This paper studies the problem of Simultaneous Sparse Approximation (SSA). This problem arises in many applications which work with multiple signals maintaining some degree of dependency such as radar and sensor networks. In this paper, we introduce a new method towards joint recovery of several independent sparse signals with the same support. We provide an analytical discussion on the convergence of our method called Simultaneous Iterative Method (SIM). Additionally, we compare our method with other group-sparse reconstruction techniques, i.e., Simultaneous Orthogonal Matching Pursuit (SOMP), and Block Iterative Method with Adaptive Thresholding (BIMAT) through numerical experiments. The simulation results demonstrate that SIM outperforms these algorithms in terms of the metrics Signal to Noise Ratio (SNR) and Success Rate (SR). Moreover, SIM is considerably less complicated than BIMAT, which makes it feasible for practical applications such as implementation in MIMO radar systems.

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References

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Scientia Iranica
Volume 26, Issue 3
Transactions on Computer Science & Engineering and Electrical Engineering (D)
May and June 2019
Pages 1601-1607

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History

  • Receive Date: 12 November 2017
  • Revise Date: 22 July 2018
  • Accept Date: 29 October 2018

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