Improved affine projection sign algorithm for sparse system identification

Proposed is a novel affine projection sign algorithm with L₀-norm cost to improve the convergence rate in a sparse system. The proposed algorithm is robust to impulsive noise due to L₁-norm minimisation. It also ensures improved performance in terms of convergence rate owing to the L₀-norm cost. The simulation results demonstrate that the proposed algorithm improves the filter performance of sparse system identification.