Block‐sparse non‐uniform norm constraint normalised subband adaptive filter

Abstract

This study proposes a block-sparse non-uniform norm constraint normalised subband adaptive filter (BS-NNCNSAF) for the block-sparse system identification problem, which is obtained by minimising a novel cost function involving the nonuniform mixed l 2, p norm like a constraint. It can achieve better performance compared with the existing algorithms in the blocksparse system identification. To further enhance the performance of the algorithm, the shrinkage BS-NNCNSAF (SH-BS-NNCNSAF) algorithm is proposed. The proposed SH-BS-NNCNSAF algorithm is derived by taking the priori and the posteriori subband errors to achieve the time-varying subband step sizes. Finally, simulations have been carried out to verify the performance of proposed algorithms. The simulation results verify that the proposed algorithms improve the performance of the filter, in terms of system identification in sparse systems.