Adaptive Generalized Eigenvector Estimating Algorithm for Hermitian Matrix Pencil
文献类型：期刊论文
| 作者 | Yingbin Gao |
| 刊名 | IEEE/CAA Journal of Automatica Sinica
 |
| 出版日期 | 2022 |
| 卷号 | 9期号:11页码:1967-1979 |
| 关键词 | Deterministic discrete-time (DDT) generalized eigenvector learning rate online estimation |
| ISSN号 | 2329-9266 |
| DOI | 10.1109/JAS.2021.1003955 |
| 英文摘要 | 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. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/49927]  |
| 专题 | 自动化研究所_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. |
入库方式： OAI收割
来源：自动化研究所
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