Asymptotically Minimum Bit Error Rate Block Precoders for Minimum Mean Square Error Equalization

In this paper, we determine linear block precoders which asymptotically minimize the bit error rate (BER) of block-based communication systems employing minimum mean square error (MMSE) equalization and threshold detection. The problem is solved by a two-stage optimization procedure in which a lower bound on the BER over its convex region is first minimized, followed by showing that this lower bound is actually achieved by the solution obtained …