Efficient lattice-reduction-aided MMSE decision-feedback equalization

Since optimum diversity behavior can be achieved, equalization based on lattice basis reduction is of special interest for transmission over MIMO channels. Although the per-symbol equalization complexity is very low, the initial calculation of the required matrices still imposes an enormous burden in arithmetic complexity. In this paper, we present an alternative strategy to calculate the lattice-reduction-aided MMSE DFE. Thereby, operations on an augmented matrix, usually proposed to obtain the desired results, are avoided. A suited modification of the “fast V-BLAST algorithm” proposed by Benesty et al. is given. By means of numerical simulations it is covered, that performance does not suffer but algorithmic complexity can almost be halved.