一种基于Cholesky分解的快速矩阵求逆方法设计

A new method of solving inverse matrix based on Cholesky matrix

接收机阵列天线抗干扰可采用直接矩阵求逆的方法实现,但在大维数下,矩阵求逆的用时过长。本文针对协方差矩阵的特殊性—正定赫米特矩阵,采用Cholesky分解求逆方法实现大维数矩阵的求逆,进而对Cholesky矩阵分解求逆进行了高效的流水设计,并在FPGA中进行实现,测试结果表明,该方法实现求逆计算用时极短,是一种高效的实现方法。

he anti-jamming performance of receiver can be realized by using the method- direct matrix inversion,when the dimension of the matrix is large, the time cost will he too much. Since the spatial hermite character of the covariance matrix,Cholesky decomposition inversion method can be used. Cholesky decomposition is a kind of method used for positive dedinited hermite matrix, this article introduced this method in detail and designed a efficient FPGA implementation way. Test results showed that the method can save time greatly.