Chernoff bounds on pairwise error probabilities of space-time codes

We derive Chernoff bounds on pairwise error probabilities of coherent and noncoherent space-time codes. First, general Chernoff bound expressions are derived for a, correlated Ricean fading channel and correlated additive Gaussian noise. Then, we specialize the results to the case of white noise and white fading coefficients. We derive approximate Chernoff bounds for high and low signal-to-noise ratios and propose optimal signaling schemes. We also compute the optimal number of transmitter antennas for unitary mutually orthogonal space-time codes.