Abstract
To ameliorate the performance of the normalized least mean square (NLMS) algorithm applied in identifying block-sparse system, a novel block-sparse proportionate NLMS (BS-PNLMS) algorithm based on the mixed l2,0 norm is presented in this paper. The cost function of proposed algorithm is obtained by introducing the approximated mixed l2,0 norm penalty in the cost function of BS-PNLMS algorithm, which is equivalent to attaching the mixed l2,0 norm zero attraction to the update equation. The proposed algorithm is named as the l2,0-BS-PNLMS algorithm. Futhermore, a variable step-size l2,0-BS-PNLMS is developed to further improve the performance of the l2,0-BS-PNLMS. Simulation results demonstrate the advantages of proposed algorithms.
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