Spatial-temporal processing for wireless systems with intersymbol and cochannel interference

In this paper, spatial-temporal receive filters for multiple receiver systems with intersymbol interference (ISI), cochannel interference (CCI), and additive white Gaussian noise (AWGN) are investigated. An optimal spatial-temporal filter that is optimal for any following baud-rate processor with any reasonable criterion of goodness is found. Therefore, it allows CCI suppression and equalization to be treated separately. Furthermore, it is shown in this paper that, under certain conditions, the baud-rate samples of the optimal spatial-temporal filter output form a set of sufficient statistics for the following baud-rate signal detector for channels with ISI, CCI, and AWGN, which is very similar to the traditional matched filter for AWGN channels with only ISI. Thus, the optimal spatial-temporal filter is also called an analogical spatial-temporal matched filter.