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Zero-attracting affine projection M-estimate algorithm for sparse system identification in impulsive interference

Proposed is a novel affine projection algorithm (APA) based on the M-estimate objective function with L0 norm constraint. APA degenerates severely in impulsive interference and has no advantage for sparse system identification. In this letter, we use an M-estimate objective function to improve the robustness of the APA against impulsive interference, and a L0 norm cost to improve the convergence rate for a sparse system. Simulation results show that the proposed algorithm outperform traditional algorithms in sparse system identification experiments that include correlated input and impulsive interference.