基于GIVENS的URV子空间方法

A GIVENS Based URV Subspace Method

  • 摘要: 基于特征值分解或SVD提取噪声子空间的方法,计算量很大,使这类方法的实时应用受到很大的限制。URV将SVD的对角阵降为部分上三角阵,获得噪声子空间的另一组基,降低了计算量的要求,并且很容易推广成噪声子空间跟踪方法。本文在URV分解的基础上,提出了一种基于GIVENS旋转的噪声子空间实现方法,并且该方法数值稳定性好,具有模块化结构,便于硬件实现。文章最后给出的仿真验证了该方法在DOA估计中的应用效果。

     

    Abstract: n many modern subspacebased algorithms,the eigenvalue decomposition or the SVD is expensive to compute,which severely limits the realtime applicability of these algorithms.URV derives another set of base for noise subspace by relaxation the requirment of the diagonal matrix in SVD to upper triangular matrix,which reduces the cost of computation.URV can be easily expanded to subspace traking algorithm.This paper provides an URV decomposition based subspace realization method,which is carried out by GIVENS rotation.This method has modular structures and hence is suitable for hardware implementation.At the end of this paper,simulation results are given to demonstrate the effectiveness of the method.

     

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