Complex-Valued Sparse Representation based on smoothed l0 norm

G. Hosein Mohimani (1) , Massoud Babaie-Zadeh (1) , Christian Jutten (2)

1 EE department of SUT [Tehran] - Department of Electrical Engineering [Tehran]
2 GIPSA-SIGMAPHY - GIPSA - Signal Images Physique

In this paper we present an algorithm for complex-valued sparse representation. In our previous work we presented an algorithm for Sparse representation based on smoothed l0 norm. Here we extend that algorithm to complex-valued signals. The proposed algorithm is compared to FOCUSS algorithm and it is experimentally shown that the proposed algorithm is about two or three orders of magnitude faster than FOCUSS while providing approximately the same accuracy.

Mots clés: complex-valued sparse component analysis; over-complete atomic decomposition

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

G. Hosein Mohimani, Massoud Babaie-Zadeh, Christian Jutten. Complex-Valued Sparse Representation based on smoothed l0 norm. ICASSP 2008 - IEEE International Conference on Acoustics, Speech and Signal Processing, Mar 2008, Las Vegas, Nevada, United States. pp.3881-3884. ⟨hal-00271364⟩