Robust Subband Adaptive Filtering against Impulsive Noise

In this letter, a new subband adaptive filter (SAF) which is robust against impulsive noise in system identification is presented. To address the vulnerability of adaptive filters based on the L-2-norm optimization criterion to impulsive noise, the robust SAF (R-SAF) comes from the L-1-norm optimization criterion with a constraint on the energy of the weight update. Minimizing L-1-norm of the a posteriori error in each subband with a constraint on minimum disturbance gives rise to robustness against impulsive noise and the capable convergence performance. Simulation results clearly demonstrate that the proposal, R-SAF, outperforms the classical adaptive filtering algorithms when impulsive noise as well as background noise exist.