Optimal step-size of pseudo affine projection algorithm

Yong Feng Zhi; Fang Fang Shang; Jun Zhang; Zhen Wang

doi:10.1016/j.amc.2015.09.059

Optimal step-size of pseudo affine projection algorithm

Yong Feng Zhi
, Fang Fang Shang
, Jun Zhang
, Zhen Wang

School of Cybersecurity

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

A new statistical analysis model is used to analyze the pseudo affine projection (PAP) algorithm with the optimal step-size in this paper. By setting the weight error to be zero in the direction of the adaptive weight update, the optimal step-size is obtained. Two assumptions for the direction vector are proposed, which simplify the analysis of the convergence behavior for the optimal step-size PAP algorithm. Under this condition, deterministic recursive equations for the weight error and for the mean-square error are derived in the direction of the adaptive weight update. Simulation results are provided to corroborate the analytical results.

Original language	English
Pages (from-to)	82-88
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	273
DOIs	https://doi.org/10.1016/j.amc.2015.09.059
State	Published - 15 Jan 2016

Keywords

Adaptive filter
Optimal step-size
Pseudo affine projection (PAP) algorithm
Statistical analysis

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10.1016/j.amc.2015.09.059

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title = "Optimal step-size of pseudo affine projection algorithm",

abstract = "A new statistical analysis model is used to analyze the pseudo affine projection (PAP) algorithm with the optimal step-size in this paper. By setting the weight error to be zero in the direction of the adaptive weight update, the optimal step-size is obtained. Two assumptions for the direction vector are proposed, which simplify the analysis of the convergence behavior for the optimal step-size PAP algorithm. Under this condition, deterministic recursive equations for the weight error and for the mean-square error are derived in the direction of the adaptive weight update. Simulation results are provided to corroborate the analytical results.",

keywords = "Adaptive filter, Optimal step-size, Pseudo affine projection (PAP) algorithm, Statistical analysis",

author = "Zhi, \{Yong Feng\} and Shang, \{Fang Fang\} and Jun Zhang and Zhen Wang",

year = "2016",

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doi = "10.1016/j.amc.2015.09.059",

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T1 - Optimal step-size of pseudo affine projection algorithm

AU - Zhi, Yong Feng

AU - Shang, Fang Fang

AU - Zhang, Jun

AU - Wang, Zhen

PY - 2016/1/15

Y1 - 2016/1/15

N2 - A new statistical analysis model is used to analyze the pseudo affine projection (PAP) algorithm with the optimal step-size in this paper. By setting the weight error to be zero in the direction of the adaptive weight update, the optimal step-size is obtained. Two assumptions for the direction vector are proposed, which simplify the analysis of the convergence behavior for the optimal step-size PAP algorithm. Under this condition, deterministic recursive equations for the weight error and for the mean-square error are derived in the direction of the adaptive weight update. Simulation results are provided to corroborate the analytical results.

AB - A new statistical analysis model is used to analyze the pseudo affine projection (PAP) algorithm with the optimal step-size in this paper. By setting the weight error to be zero in the direction of the adaptive weight update, the optimal step-size is obtained. Two assumptions for the direction vector are proposed, which simplify the analysis of the convergence behavior for the optimal step-size PAP algorithm. Under this condition, deterministic recursive equations for the weight error and for the mean-square error are derived in the direction of the adaptive weight update. Simulation results are provided to corroborate the analytical results.

KW - Adaptive filter

KW - Optimal step-size

KW - Pseudo affine projection (PAP) algorithm

KW - Statistical analysis

UR - https://www.scopus.com/pages/publications/84945162257

U2 - 10.1016/j.amc.2015.09.059

DO - 10.1016/j.amc.2015.09.059

M3 - 文章

AN - SCOPUS:84945162257

SN - 0096-3003

VL - 273

SP - 82

EP - 88

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Optimal step-size of pseudo affine projection algorithm

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Keywords

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