Date Added: Jan 2012
A new viewpoint for adopting the lattice reduction in communication over MIMO broadcast channels is introduced. Lattice basis reduction helps one to reduce the average transmitted energy by modifying the region which includes the constellation points. Also, the outage probability for both cases of fixed-rate users and fixed sum-rate is analyzed. It is shown that the lattice-reduction aided method, using LLL algorithm, achieves the optimum asymptotic slope of symbol-error-rate (called the precoding diversity). In the recent years, communications over multiple-antenna fading channels has attracted the attention of many researchers. Initially, the main interest has been on the point-to-point Multiple-Input Multiple-Output (MIMO) communications.