基于FPGA的复数矩阵求逆设计

Inverse of Complex Matrix Design Based on FPGA

针对MWC系统中OMP算法所涉及的最小二乘问题,通过伪逆公式转换将问题转变为求解n维共轭对称复数矩阵的逆,在FPGA平台上设计基于改进型Cholesky分解法的复矩阵分解模块、下三角矩阵求逆的运算模块以及最终三角矩阵乘法的子模块,通过逻辑资源消耗表及时序分析结果算出其运算时间,并通过ModelSim仿真验证该模块的正确性,并且与MATLAB运算结果进行比对。

Aiming at the least squares problem involved in the OMP algorithm of MWC system,the problem is converted to solving the inverse of the n-dimensional conjugate symmetric complex matrix by pseudo-inverse formula conversion.A complex matrix decomposition based on the improved Cholesky decomposition method is designed on the FPGA platform Module,lower triangle matrix inversion operation module and final triangle matrix multiplication sub-module,and finally calculate its operation time through the logic resource consumption table and timing analysis results,and verify the correctness of the module through ModelSim,and compared with MATLAB'S result.