Minimum BER prefilter transform for communications systems with binary signaling and known FIR MIMO channel

The problem of designing an optimal prefilter transform for finite impulse response (FIR) multiple-input multiple-output (MIMO) communication systems is addressed. The bit error rate (BER) is minimized under a power constraint. Binary signaling is assumed. The transmitter requires knowledge of the channel transfer function coefficients and the receiver transform. It is shown that the proposed prefiltering transform outperforms three previously known prefilter transform methods in terms of BER versus channel quality. The proposed prefilter transform is applicable to downlink communication systems where the base station can estimate the channel while receiving data from the mobile station.