An AP-DE Algorithm Based on Multi-step Gradient Method

Aim to improve the convergence of the adaptive filtering, based on the multi-step gradient method, a new affine projection algorithm with direction error is presented. The statistical behavior of the proposed algorithm is analyzed. The deterministic recursive equations for the weight error and for the Mean-square error (MSE) are derived in the weight update direction of the adaptive filtering. The steady-state MSE is also obtained. Simulation results show that the proposed algorithm improve the adaptive filtering convergence and corroborate the theoretical analytical results.