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.

中文翻译：

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改进的 Filtered-x 仿射投影算法的均方性能

由于其良好的收敛行为和中等计算负担，改进的过滤 x 仿射投影 (MFxAP) 算法对于主动噪声控制是有效的。MFxAP 算法的瞬态和稳态性能已在先前的研究中进行了分析，理论与实测结果之间具有较好的一致性。然而，现有方法忽略了权重误差向量与过去噪声向量之间的相关性。因此，本文对MFxAP算法进行了更准确的理论分析，其中综合考虑了过去噪声向量对权重误差向量的影响。仿真结果表明，所提出的理论结果比以前的研究更精确地匹配实验结果，特别是在稳态下。