Statistical tracking behavior of affine projection algorithm for unity step size

Yongfeng Zhi; Yunyi Yang; Xi Zheng; Jun Zhang; Zhen Wang

doi:10.1016/j.amc.2016.02.003

Statistical tracking behavior of affine projection algorithm for unity step size

Yongfeng Zhi, Yunyi Yang, Xi Zheng, Jun Zhang, Zhen Wang

School of Cybersecurity

Northwestern Polytechnical University Xian

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

5 Scopus citations

Abstract

Since unity step size could guarantee the fastest convergence and more detailed analysis for the affine projection (AP) algorithm, a statistical tracking behavior of AP algorithm is discussed in this paper. Deterministic recursive equations are derived for the mean weight error and mean-square error. All the possible correlations between the adaptive filtering coefficients and the past measurement noise are considered as well.

Original language	English
Pages (from-to)	22-28
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	283
DOIs	https://doi.org/10.1016/j.amc.2016.02.003
State	Published - 20 Jun 2016

Keywords

Affine projection algorithm
Step size
System identification
Tracking behavior

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10.1016/j.amc.2016.02.003

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title = "Statistical tracking behavior of affine projection algorithm for unity step size",

abstract = "Since unity step size could guarantee the fastest convergence and more detailed analysis for the affine projection (AP) algorithm, a statistical tracking behavior of AP algorithm is discussed in this paper. Deterministic recursive equations are derived for the mean weight error and mean-square error. All the possible correlations between the adaptive filtering coefficients and the past measurement noise are considered as well.",

keywords = "Affine projection algorithm, Step size, System identification, Tracking behavior",

author = "Yongfeng Zhi and Yunyi Yang and Xi Zheng and Jun Zhang and Zhen Wang",

year = "2016",

month = jun,

day = "20",

doi = "10.1016/j.amc.2016.02.003",

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AU - Zhi, Yongfeng

AU - Yang, Yunyi

AU - Zheng, Xi

AU - Zhang, Jun

AU - Wang, Zhen

PY - 2016/6/20

Y1 - 2016/6/20

N2 - Since unity step size could guarantee the fastest convergence and more detailed analysis for the affine projection (AP) algorithm, a statistical tracking behavior of AP algorithm is discussed in this paper. Deterministic recursive equations are derived for the mean weight error and mean-square error. All the possible correlations between the adaptive filtering coefficients and the past measurement noise are considered as well.

AB - Since unity step size could guarantee the fastest convergence and more detailed analysis for the affine projection (AP) algorithm, a statistical tracking behavior of AP algorithm is discussed in this paper. Deterministic recursive equations are derived for the mean weight error and mean-square error. All the possible correlations between the adaptive filtering coefficients and the past measurement noise are considered as well.

KW - Affine projection algorithm

KW - Step size

KW - System identification

KW - Tracking behavior

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U2 - 10.1016/j.amc.2016.02.003

DO - 10.1016/j.amc.2016.02.003

M3 - 文章

AN - SCOPUS:84959563566

SN - 0096-3003

VL - 283

SP - 22

EP - 28

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Statistical tracking behavior of affine projection algorithm for unity step size

Abstract

Keywords

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