Linear equalization theory in digital data transmission over dually polarized fading radio channels.

We present a theory of linear least-mean squares equalization in digital data communications over two coupled linear dispersive channels, with particular application to dually polarized terrestrial radio systems. We jointly optimize transmitting and receiving matrix filters when the inputs are two independent quadrature amplitude modulated (QAM) data signals of fixed total average power. We derive formulas for minimum total mean square error, upper bounds on probability of error, matched filter bounds and the Shannon limit.