计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (16): 145-147.

• 数据库、信号与信息处理 • 上一篇    下一篇

一种新的变阶仿射投影算法

赵  愉,彭最亮,李  锋   

  1. 复旦大学 电子工程系,上海 200433
  • 出版日期:2012-06-01 发布日期:2012-06-01

New APA with evolving order

ZHAO Yu, PENG Zuiliang, LI Feng   

  1. Department of Electronic Engineering, Fudan University, Shanghai 200433, China
  • Online:2012-06-01 Published:2012-06-01

摘要: 从改变仿射投影算法的条件出发,迫使仿射投影算法(APA)后验误差等于噪声,提出一种新的变阶仿射投影算法(E-APA)。该算法令迭代过程中阶数正比于误差向量的L2范数的平方与噪声功率之比,通过调节正则化因子来改变二者比值,从而实现了在初始阶段输入阶数较大,在收敛阶段输入阶数较小。实验结果表明该算法收敛速度快,稳态失调小,计算量少,优于目前最好的变阶算法(E-APA)。

关键词: 仿射投影算法, 变阶, 收敛速度, 稳态失调

Abstract: Via changing the condition of the Affine Projection Algorithm(APA) , a new APA evolving order is proposed by letting the posteriori error be equal to the system noise. The order of the proposed algorithm is proportional to the ratio between the square of L2 norm of the error vector and system noise power. And the scale factor can be adjusted by the regularization factor. The order is large at the beginning and small when the algorithm has converged. Simulation shows that the proposed algorithm has fast convergence rate, low steady state misalignment and computational complexity.

Key words: Affine Projection Algorithm(APA), variable order, convergence speed, steady state misalignment