| 引用本文: | 赵滨生,陆仲良.变换自适应算法实现特征矢量谱.[J].国防科技大学学报,1988,10(4):24-29 ,115.[点击复制] |
| Zhao Binsheng,Lu Zhongliang.A Transforming Adaptive Algorithm for Implemenation of The Eigenvector Spectrum[J].Journal of National University of Defense Technology,1988,10(4):24-29 ,115[点击复制] |
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| 变换自适应算法实现特征矢量谱 |
| 赵滨生1, 陆仲良2 |
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(1.航天部501设计部;2.国防科技大学)
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| 摘要: |
| 特征矢量法是分辨相关信号源的一种有效算法。该算法需求出阵列接收信号空间相关矩阵的最小特征矢量。本文在梯度法与空间三角格型法基础上，提出了一种新的算法:变换自适应法。此法通过一个变换，将求矩阵最小特征矢量的问题转换成求最大特征矢量，从而避免了矩阵求逆这一繁杂过程。理论分析以及计算机仿真结果均表明，该算法在计算量和收敛速度方面具有相当的优越性。 |
| 关键词: 高分辨，相关源，特征矢量谱，特征值 |
| DOI： |
| 投稿日期：1988-04-12 |
| 基金项目: |
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| A Transforming Adaptive Algorithm for Implemenation of The Eigenvector Spectrum |
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(2.National University of Defense Technology)
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| Abstract: |
| The eigenvector spectrum method is an effective method for resolving coherent signals in array processing. It requires that the minimum eigenvector of the received array signals covariance matrix R should be obtained first. Instead of gradient descent and space triangular ladder methods，we propose a new one-transforming adaptive algorithm method for implementation of the eigenvector spectrum. This method turns the problem of finding the minimum eigenvector，through a simple transformation，into that of finding the
maximum one，thus the complicated calculation of R-l can be eliminated.
Theoretic analysis and simulation results show that this new method is superior to gradient descent one in convergence rate and to space triangular ladder one in computation complexity. |
| Keywords: Superresolution,Coherent signals,Eigenvector spectrum,Eigenvalue |
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