【摘要】 研究比例仿射投影算法,针对自适应算法收敛速度和稳态误差之间的矛盾,提出了一种变步长的改进比例仿射投影算法(VSS-IPAPA)。利用后验误差去补偿干扰信号对系统稳态性能的影响,得到了算法新的最优步长准则,根据步长准则以及先验误差与后验误差之间的联系,导出了一种适用于比例仿射投影的步长调节方法。综合了稀疏算法、数据重用方法及变步长的优点。最后通过对改进算法进行仿真,结果表明,在增加少量计算量的情况下,系统的收敛速度和稳态性能有明显的改善,证明了比例仿射投影算法的有效性。更多还原

【Abstract】 To deal with the trade-off between the mis-adjustment and the convergence speed in constant step-size adaptive algorithms,a variable step-size improved proportionate affine projection algorithm,namely VSS-IPAPA,was proposed in this paper.The proposed algorithm obtained a criterion of optimal variable step-size performance by forcing the posterior error to cancel negative effect of disturbance signal.Then using this optimal criterion and the relation between the posteriori estimation error and the priori estimation error,a step size control approach for proportionate affine projection algorithm was provided.The new algorithm incorporated the advantages of the sparse algorithm,data reusing method and variable step size algorithm.Echo cancellation simulation results confirm that the proposed algorithm can constitute a significant improvement in the convergence speed with very small mis-adjustment when compared with the constant step-size improved proportionate affine projection algorithm and other variable step-size algorithm.更多还原