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LMP凸组合算法的稳态性能分析

  • 张佳微 ,
  • 林斌 ,
  • 张卓
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  • (大连海事大学 信息科学技术学院,辽宁 大连 116026)
张佳微(1996 — ),硕士生,E-mail:zjw0720@dlmu.edu.cn.

收稿日期: 2021-07-19

  修回日期: 2021-08-20

  网络出版日期: 2021-08-20

Steady-state performance analysis of the LMP convex combination algorithm

  • ZHANG Jia-wei ,
  • LIN Bin ,
  • ZHANG Zhuo
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  • (Information Science and Technology College, Dalian Maritime University, Dalian 116026, China)

Received date: 2021-07-19

  Revised date: 2021-08-20

  Online published: 2021-08-20

摘要

为进一步解决最小p阶均方算法(least mean p power, LMP)收敛速度和稳态误差之间的矛盾,提高自适应算法的性能,提出对算法采用不同p值和不同步长进行凸组合(combination of least mean p power, CLMP)的方案.该方案在高斯环境下将独立的大步长LMP1滤波器和小步长LMP2滤波器(p1>p2)并联,利用分离假设条件进行稳态误差表达式的理论推导.仿真实验证明,在高斯平稳环境下组合滤波器稳态性能较单一滤波器表现得更好,为自适应滤波算法研究提供了一种新思路.

本文引用格式

张佳微 , 林斌 , 张卓 . LMP凸组合算法的稳态性能分析[J]. 大连海事大学学报, 2021 , 47(4) : 122 -128 . DOI: 10.16411/j.cnki.issn1006-7736.2021.04.015

Abstract

In order to further solve the contradiction between the convergence speed and the steadystate error of the least mean ppower algorithm (LMP) and improve the performance of the adaptive algorithm, a convex combination scheme with different pvalues and variablestep size was proposed(combination of least mean p power, CLMP)to effectively solve this problem. In this scheme, independent large step filter LMP1 and small step filter LMP2(p1>p2) are connected in parallel in Gaussian environment, and the theoretical derivation of steadystate error expression was carried out by using separation assumption. Simulation results show that the steadystate performance of combined filter is better than that of single filter in Gaussian stationary environment, which provides a new idea for the research of adaptive filtering algorithm.

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