An Improved Element Based Lattice Reduction Algorithm for Large MIMO Detection

The element based lattice reduction (ELR) is a kind of lattice reduction technique, and it is often used with some linear detection method to make orthogonality higher. The original ELR, however, needs a lot of iterations because the termination condition is not established easily due to the rounding function used in it. We propose a new value using a flooring function. We conducted some experiments, and they show that our proposal have almost the same performance of bit error ratio as the original ELR. The experiments also show that ours needs lower iterations than the original, and ours can improved over 40% of the number of iterations under the condition of the number of antennas is 128 and signal-to-noise ratio is 30dB. It means that our proposal is almost the same bit-error-ratio performance with lower complexity than the original.