Mean-Square Performance of the Modified Filtered-x Affine Projection Algorithm

The modified filtered-x affine projection (MFxAP) algorithm is effective for active noise control owing to its good convergence behavior and medium computational burden. The transient and steady-state performances of the MFxAP algorithm have been analyzed in previous studies, which presented a relatively good agreement between the theory and measured results. However, the correlation between the weight-error vector and the past noise vectors is disregarded in the existing methods. Hence, a more accurate theoretical analysis for the MFxAP algorithm is presented herein, in which the effect of the past noise vector on the weight-error vector is considered comprehensively. Simulation results indicate that the proposed theoretical results match the experimental results more precisely than the previous studies, in particular, at the steady state.