A Stochastic Model for a Pseudo Affine Projection Algorithm

被引：22
|
作者：
de Almeida, Sergio J. M. [1 ]
Bermudez, Jose Carlos M. [2 ]
Bershad, Neil J. [3 ]
机构：
[1] Catholic Univ, Pelotas, RS, Brazil
[2] Univ Fed Santa Catarina, Dept Elect Engn, Florianopolis, SC, Brazil
[3] Univ Calif Irvine, Dept Elect Engn & Comp Sci, Newport Beach, CA 92660 USA
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2009年 / 57卷 / 01期
关键词：
Adaptive filters; affine projection; analysis; pseudo affine projection; stochastic algorithms;
D O I：
10.1109/TSP.2008.2007109
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper presents a statistical analysis of a Pseudo Affine Projection (PAP) algorithm, obtained from the Affine Projection algorithm (AP) for a step size alpha < 1 and a scalar error signal in the weight update. Deterministic recursive equations are derived for the mean weight and for the mean square error (MSE) for a large number of adaptive taps N compared to the order P of the algorithm. Simulations are presented which show good to excellent agreement with the theory in the transient and steady states. The PAP learning behavior is of special interest in applications where tradeoffs are necessary between convergence speed and steady-state misadjustment.
引用
收藏
页码：107 / 118
页数：12
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