可配置Cholesky 分解矩阵求逆的FPGA实现

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可配置Cholesky 分解矩阵求逆的FPGA实现

胡铁乔，张毛毛，李阳波

（taptap下载安装安卓天津市智能信号与图像处理重点实验室，天津300300）

收稿日期:2017-02-22 修回日期:2017-04-09 出版日期:2017-08-25 发布日期:2017-11-08
作者简介:胡铁乔（1970—），男，河南洛阳人，副教授，工学硕士，研究方向为基于FPGA、DSP高速处理平台的阵列信号处理系统.
基金资助:
国家重点研发计划（2016YFB0502402）

FPGA implementation of matrix inversion based on configurable Cholesky decomposition

HU Tieqiao, ZHANG Maomao, LI Yangbo

(Intelligent Signal and Image Processing Key Lab of Tianjin, CAUC, Tianjin 300300, China)

Received:2017-02-22 Revised:2017-04-09 Online:2017-08-25 Published:2017-11-08

摘要/Abstract

摘要：

在阵列信号抗干扰处理算法中，功率倒置法作为简单有效的干扰抑制手段被广泛应用，本算法的关键是求出对应协方差矩阵的逆矩阵。鉴于FPGA 的速度优势，目前阵列信号抗干扰处理算法多采用FPGA 实现。本研究针对常用阵列信号抗干扰系统的实现，设计出一种基于FPGA的Cholesky 矩阵分解模块，可适用于3~8 阶正定Hermitian 矩阵的求逆，配置简单方便。测试结果表明，在不影响计算精度的情况下，该方法节省了FPGA 中的硬件资源。

关键词: Cholesky 分解, 矩阵求逆, 阵列信号抗干扰, FPGA 实现

Abstract:

As a simple and effective interference suppression algorithm, power inversion algorithm is widely used in various array signalprocessing algorithms. The keyofthe algorithmisto find the inverse matrix of corresponding covariance matrix. Given the high speed of FPGA, array signal anti-jamming processing algorithm is mostly accomplished by FPGA at present. In order to realize the commonly used system of array signal anti-jamming system, a Cholesky matrix decomposition based on FPGA is designed, which can be applied to the inversion of 3~8 positive definite Hermitian matrixes. Test results show that this algorithm can save hardware resource without affecting calculation precision.

Key words: Cholesky decomposition, matrix inversion, array signal anti-jamming, FPGA implementation

中图分类号:

TN919
V243.1

胡铁乔，张毛毛，李阳波. 可配置Cholesky 分解矩阵求逆的FPGA实现[J]. taptap下载安装安卓学报.

HU Tieqiao, ZHANG Maomao, LI Yangbo. FPGA implementation of matrix inversion based on configurable Cholesky decomposition[J]. .