Space-time modulated codes for memory channels: capacity and information rates, zero-forcing decision feedback equalizer

Modulated codes (MC) are error correction codes (ECC) defined on the complex field. In this paper, we study space-time MC for memory channels. Similar to MC for single antenna systems, the space-time MC can also be naturally combined with a multiple antenna system with ISI. We derive some lower bounds on the capacities C and the information rates I_i.i.d. of the MC coded systems. As a property of space-time MC, it is shown that, for an N transmit and N receive antenna channel with memory and AWGN, there exist MC with arbitrary rates r, 0<r<1, such that the MC coded systems have larger information rates I_i.i.d than the original system does at relatively low channel SNR. In this paper, we also propose an MC coded zero-forcing decision feedback equalizer (ZF-DFE)