LLL Reduction Achieves the Receive Diversity in MIMO Decoding

TL;DR

This paper proves that lattice-reduction-aided decoding in MIMO systems achieves maximum receive diversity, matching the number of receive antennas, thus enhancing communication reliability.

Contribution

It establishes that lattice-reduction-aided decoding attains the maximum diversity order in MIMO systems, a novel theoretical result.

Findings

Lattice-reduction-aided decoding achieves maximum receive diversity.

Naive lattice decoding also attains maximum diversity.

Diversity order equals the number of receive antennas.

Abstract

Diversity order is an important measure for the performance of communication systems over MIMO fading channels. In this paper, we prove that in MIMO multiple access systems (or MIMO point-to-point systems with V-BLAST transmission), lattice-reduction-aided decoding achieves the maximum receive diversity (which is equal to the number of receive antennas). Also, we prove that the naive lattice decoding (which discards the out-of-region decoded points) achieves the maximum diversity.