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Reconstruction of sparse signals using smoothed ℓ0 norm via the Mittag-Leffler function

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2 Author(s)
Yuchao Tang ; Inst. for Inf. & Syst. Sci., Xi''an Jiaotong Univ., Xi''an, China ; Jigen Peng

In this paper, a new algorithm for signal reconstruction in a compressive sensing framework is presented. The proposed algorithm is based on Mittag-Leffler function which approximates the ℓ0 norm. Contrary to the previous algorithms such as smoothed ℓ0 norm algorithm(SL0), ℓ1-magic and iteratively re-weighted algorithm, our approach yields improved signal reconstruction performance for compressible signal. When compared to smoothed ℓ0 norm algorithm, the improved signal reconstruction performance is always achieved although the amount of computation is increased somewhat.

Published in:

Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on

Date of Conference:

29-31 May 2012

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