Robustness Analysis of DLMP Algorithm Under α-Stable Noise Environments

ZHANG Jin-feng; QIU Tian-shuang; TANG Hong

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Robustness Analysis of DLMP Algorithm Under α-Stable Noise Environments

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- Robustness Analysis of DLMP Algorithm Under α-Stable Noise Environments
- Acta Electronica Sinica Vol. 35, Issue 3, Pages: 515-519(2007)
- 作者机构：
  
  1. 大连理工大学电子与信息工程学院,大连,116024
  2. 深圳大学信息工程学院,深圳,518060
  3. 大连理工大学电子与信息工程学院大连,116024
  4. 深圳大学信息工程学院深圳,518060
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.7
- Published：2007
- 稿件说明：
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ZHANG Jin-feng, QIU Tian-shuang, TANG Hong. Robustness Analysis of DLMP Algorithm Under α-Stable Noise Environments[J]. Acta Electronica Sinica, 2007, 35(3): 515-519.
DOI：

ZHANG Jin-feng, QIU Tian-shuang, TANG Hong. Robustness Analysis of DLMP Algorithm Under α-Stable Noise Environments[J]. Acta Electronica Sinica, 2007, 35(3): 515-519. DOI：

摘要

本文给出了分数低阶统计量的一个定理

对DLMP算法的收敛性进行了数学分析和理论证明.包括:DLMP算法代价函数的收敛性证明以及DLMP算法步长因子

值的选取分析.当

=2时

DLMP算法的代价函数

算法估计结果的无偏性以及算法的步长因子

值的选取范围均与基于二阶统计量的DLMS算法保持了统一.证明了DLMP算法为DLMS算法在

(1＜

≤2)稳定分布噪声环境下的推广.

Abstract

The direct least mean p-norm (DLMP) algorithm is a robust algorithm for time delay estimation under both Guassian and fractional lower order α -stable noise conditions.Based on an important theorem of fractional lower order statistics

this paper gives an integrated mathematical analysis of the convergence property of the DLMP algorithm

including the convergence property of the cost function and the appropriate selection of the convergence parameter μ .In the case of

it is presented that DLMP algorithm keeps consistent with DLMS algorithm

which is based on second order statistics

involving the cost function

the unbiasness of the estimate and the selection of the convergence parameter.Therefore

this paper proves in theory that DLMP algorithm is a generalization of DLMS algorithm in α -stable distribution noisy environments.

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