Adaptive Generalized Eigenvector Estimating Algorithm for Hermitian Matrix Pencil

doi:10.1109/JAS.2021.1003955

CASIA OpenIR > 学术期刊 > IEEE/CAA Journal of Automatica Sinica

	Adaptive Generalized Eigenvector Estimating Algorithm for Hermitian Matrix Pencil
	Yingbin Gao
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2022
卷号	9 期号:11 页码:1967-1979
摘要	Generalized eigenvector plays an essential role in the signal processing field. In this paper, we present a novel neural network learning algorithm for estimating the generalized eigenvector of a Hermitian matrix pencil. Differently from some traditional algorithms, which need to select the proper values of learning rates before using, the proposed algorithm does not need a learning rate and is very suitable for real applications. Through analyzing all of the equilibrium points, it is proven that if and only if the weight vector of the neural network is equal to the generalized eigenvector corresponding to the largest generalized eigenvalue of a Hermitian matrix pencil, the proposed algorithm reaches to convergence status. By using the deterministic discrete-time (DDT) method, some convergence conditions, which can be satisfied with probability 1, are also obtained to guarantee its convergence. Simulation results show that the proposed algorithm has a fast convergence speed and good numerical stability. The real application demonstrates its effectiveness in tracking the optimal vector of beamforming.
关键词	Deterministic discrete-time (DDT) generalized eigenvector learning rate online estimation
DOI	10.1109/JAS.2021.1003955
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/49927
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Yingbin Gao. Adaptive Generalized Eigenvector Estimating Algorithm for Hermitian Matrix Pencil[J]. IEEE/CAA Journal of Automatica Sinica,2022,9(11):1967-1979.
APA	Yingbin Gao.(2022).Adaptive Generalized Eigenvector Estimating Algorithm for Hermitian Matrix Pencil.IEEE/CAA Journal of Automatica Sinica,9(11),1967-1979.
MLA	Yingbin Gao."Adaptive Generalized Eigenvector Estimating Algorithm for Hermitian Matrix Pencil".IEEE/CAA Journal of Automatica Sinica 9.11(2022):1967-1979.

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