ABSTRACT
In this chapter, we generalize MC to space-time MC for multiple transmit and receive antenna ISI channels. Similar to the MC for single antenna ISI channels (in previous chapters), the space-time MC can be naturally combined with the multiple antenna channels. We generalize the MC coded
ZF-DFE for single antenna systems studied in Chapter 4 to space-time MC coded multiple antenna systems. By using the capacity formula of the multivariate channel with memory in [21], we first derive lower bounds of the capacities C and the information rates Ci.i.d. for the MC coded systems, where Ci.i.d. is the i.i.d. information rates when the input is an i.i.d. source, see for example [122, 121]. As a property of the space-time MC, it is proved that for an N transmit and N receive antenna channel H(z) with memory and AWGN and for any rate r, 0 < r < 1, there exist rate r MC such that the MC coded systems have larger information rates Ci.i.d. than the system itself does, when the channel SNR is relatively low and the channel H(z) is not paraunitary [142]. Notice that for a channel H(z), the condition that H(z) is not paraunitary holds almost surely. Another remark is that, when N = 1 this result is more general than the one obtained in Chapter 5 for MC coded single antenna systems, where only rate 1/P MC with P > 2F-1 were constructed. The results in this chapter are summarized from [176].
