FxlogRLP: The Filtered-X Logarithmic Recursive Least P-Power Algorithm

For active impulsive noise control, a filtered-x recursive least p-power (FxRLP) algorithm is proposed by minimizing the weighted summation of the p-power of the a posteriori errors. Since the characteristic of the target noise is investigated, the FxRLP algorithm achieves good performance and robustness. To obtain a better performance, we develop a filtered-x logarithmic recursive least p-power (FxlogRLP) algorithm which integrates the p-order moment with the logarithmic-order moment. Simulation results demonstrate that the FxlogRLP algorithm is superior to the existing algorithms in terms of convergence rate and noise reduction.