高阶矩阵并行求逆的FPGA设计与实现  

FPGA Design and Implementation of Parallel Inversion of High Order Matrix

作　　者：伍松[1,2] 毛宇河 WU Song;MAO Yu-he(College of Machinery and Communications,Guangxi University of Science and Technology,Guangxi Liuzhou 545006,China;Guangxi Key Laboratory of Automotive Parts and Whole Vehicle Technology,(Guangxi University of Science and Technology),Guangxi Liuzhou 545006,China)

机构地区：[1]广西科技大学机械与交通学院,广西柳州545006 [2]广西汽车零部件与整车技术重点实验室(广西科技大学),广西柳州545006

出　　处：《机械设计与制造》2023年第3期187-192,共6页Machinery Design & Manufacture

基　　金：国家自然科学基金项目(51665006);广西汽车零部件与整车技术重点实验室自主研究课题(2017GKLACVTZZ01);广西高校自然科学基金项目—基于ACLD+ANC技术的封闭弹性腔体噪声复合控制研究(2013YB172)。

摘　　要：在现代信号处理领域中,矩阵求逆运算广泛应用,利用并行结构及现场可编程门阵列(FPGA)的处理能力快速实现了8阶满秩矩阵的求逆过程,完成了高阶矩阵求逆处理器的设计,该设计采用Quartus II 13.0开发平台对程序进行编译、例化及综合,利用Modelsim仿真平台对设计进行仿真测试、将显示结果与MATLAB结果进行对比分析验证。通过分析验证表明:该处理器充分利用了FPGA的并行性能,实现了对高阶矩阵求逆过程的快速计算,并利用定标法提升了求逆的计算精度,解决了高阶矩阵难以求逆及传统求逆方法收敛性差、精度低,对通用性计算机运算依赖性较大等问题,对实际工程有广泛的用途。In the field of modern signal processing,matrix inversion is widely used. We use the parallel structure and the processing power of field programmable gate array(FPGA)to realize the inverse process of 8-order full rank matrix quickly. This design uses Quartus II 13.0 development platform to compile,exemplify and synthesize the program,and uses Modelsim simulation platform to carry out simulation test on the design,and compares the display results with MATLAB results for analysis and verification. Through the analysis and verification,it shows that the processor makes full use of the parallel performance of FPGA,realizes the fast calculation of the inversion process of high-order matrix,and improves the calculation accuracy of inversion by using the calibration method,which solves the problems such as difficult inversion of high-order matrix,poor convergence and low precision of traditional inversion methods,and large dependence on general computer operation,which has wide application in practical engineering.

关 键 词：现场可编程门阵列(FPGA) 矩阵求逆 并行结构 

分 类 号：TH16[机械工程—机械制造及自动化] TP29[自动化与计算机技术—检测技术与自动化装置]