Design and complexity analysis of an improved adaptive filtering algorithm for non-sparse impulse response

An improved adaptive filtering (IMPNLMS+) algorithm has been proposed for non-sparse impulse responses by incorporating an adaptive parameter μ of the μ-law compression into the improved μ-law PNLMS algorithm (IMPNLMS) algorithm. It not only achieves optimal step-size control factors but also overcomes that the convergence of classical μ-law PNLMS (MPNLMS) is even slower than conventional NLMS algorithm for dispersive channels. In this paper, we propose IMPNLMS++ algorithm, where normalized algorithm is analyzed to reduce computational complexity of proposed improved μ-law PNLMS (IMPNLMS+) algorithm. The validity has been proved by the simulation results.