Research on Complex Givens Matrix in LLL Algorithm Under the Lovász Condition
Deng Binga · Journal of Naval Aeronautical and Astronautical University · 2012
In order to solve inconsistency of the complex Givens rotation matrix in LLL(A.K.Lenstra,H.W.Lenstra,and L.Lovasz) algorithm based on the QR decomposition,from the equivalence relations between Gram-Schmidt coefficients of original LLL algorithm and elements in the upper triangular matrix R of QR decomposition,two complex Givens rotation matrices which were suitable for LLL algorithm were deduced and the Givens rotation matrix was proved meeting the Lovasz conditions in terms of complex exponential expression.Simulation results showed that MIMO systems with complex field LLL algorithm based on QR decomposition had better BER(bit Error Rate) performance than the MIMO systems employing the existing complex LLL algorithm.