Stable and Causal Lti-precoders and Equalizers for Mimo-isi Channels with Optimal Robustness Properties

In this paper, we address the problems of precoding and equalization in frequency-selective MIMO channels by channel inversion. The channel is assumed to be stable and causal. As our main result, we give a closed form expression for a linear precoder which is stable and causal as well as timeinvariant. In particular, our solution further is optimal in terms of robustness and not restricted to finite impulse response (FIR) systems.