A low complexity fast lattice reduction algorithm for MIMO detection

Based on the well known Lenstra Lenstra Lovász (LLL) algorithm, we propose a possible swap LLL algorithm (P-SLLL) for lattice reduction aided (LRA) MIMO detection in this paper. The reduction process of the new algorithm is modified by searching for the next column swap through the whole basis, instead of the sequential implementation in the original LLL algorithm. Two different searching criteria are proposed, i.e. the random selection criterion and the optimal swap selection criterion. Comparing to the LLL algorithm, the PSLLL algorithm enjoys fast termination property and lower computational complexity, which can benefit practical hardware implementation. Simulation results prove our analysis and show that PSLLL aided linear MIMO detectors achieve the same performance as the LLL aided methods.