现代电子技术2017，Vol.40Issue(12)：15-18,4.DOI:10.16652/j.issn.1004-373x.2017.12.004
对称矩阵特征值分解的FPGA实现
Implementation of symmetric matrix eigenvalue decomposition with FPGA
摘要
Abstract
Aiming at the needs of the data covariance matrix eigenvalue decomposition used in DOA estimation such as MUSIC,a hardware implementation scheme of the eigenvalue decomposition is provided and the basic idea is described in this paper. The Jacobi algorithm based on CORDIC is adopted in the design to achieve real symmetric matrix eigenvalue decomposi-tion,and conduct the hardware emulation for 5×5 matrix in FPGA. The results of theoretical analysis and experimental verifica-tion show that the design can calculate all eigenvalues and eigenvectors,and has laid the foundation for FPGA implementation of MUSIC algorithm.关键词
MUSIC算法/特征值分解/Jacobi算法/CORDIC算法/FPGAKey words
MUSIC algorithm/eigenvalue decomposition/Jacobi algorithm/CORDIC algorithm/FPGA分类
信息技术与安全科学引用本文复制引用
刘永勤..对称矩阵特征值分解的FPGA实现[J].现代电子技术,2017,40(12):15-18,4.基金项目
国家自然科学基金(61377080 （）
60977054 （）
61271110) （）
陕西省军民融合研究基金项目(15JMR11) （15JMR11）
渭南师范学院自然科学基金项目(15YKF002) （15YKF002）
渭南师范学院特色学科建设项目(14TSXK07) （14TSXK07）
