集成电路与嵌入式系统2026，Vol.26Issue(9)：8-14,7.DOI:10.20193/j.ices2097-4191.2026.0032
基于MGS-QR分解与部分和集成的FPGA矩阵求逆架构
FPGA matrix inversion architecture based on MGS-QR decomposition and partial sum integration
孔令辉 1张志伟 2余山 2毛静娜2
作者信息
- 1. 中国科学院大学 未来技术学院,北京 101408||中国科学院 中国科学院自动化研究所,北京 100190
- 2. 中国科学院 中国科学院自动化研究所,北京 100190
- 折叠
摘要
Abstract
Aiming at the problem that the existing FPGA matrix inversion methods are difficult to balance hardware resources,calcula-tion delay and calculation accuracy,this paper proposes a matrix inversion architecture that integrates algorithm optimization and hard-ware architecture design.In this paper,based on MGS-QR decomposition,the parallel vector operations in the operation flow are inte-grated,and the calculation of the inverse matrix is transformed into the integration of the partial sum of each iteration in the iterative process,and the vector processing unit adaptation algorithm supporting multiple vector operation modes is designed.This architecture enables N×N real matrix inversion with resource consumption scaling quadratically and clock cycles scaling linearly with the matrix size.It can therefore accommodate matrices of different sizes.Compared with the traditional MGS-QR factorization matrix inversion method,the designed architecture further reduces the amount of DSP usage and significantly lowers the calculation delay under the premise of ensuring the same calculation accuracy,which can provide an efficient and highly reliable engineering solution for real-time matrix inversion in embedded systems.关键词
FPGA/矩阵求逆/MGS-QR分解/CORDIC/向量处理单元Key words
FPGA/matrix inversion/MGS-QR decomposition/CORDIC/vector processing element分类
信息技术与安全科学引用本文复制引用
孔令辉,张志伟,余山,毛静娜..基于MGS-QR分解与部分和集成的FPGA矩阵求逆架构[J].集成电路与嵌入式系统,2026,26(9):8-14,7.
