Exact Pairwise Error Probability Analysis of Space-Time Codes in Realistic Propagation Environments

In this paper, we derive an analytical expression for the exact pairwise error probability (PEP) of a space-time coded system operating over a spatially correlated slow fading channel using a moment-generating function-based approach. This analytical PEP expression is more realistic than previously published exact-PEP expressions as it fully accounts for antenna spacing, antenna geometries (Uniform Linear Array, Uniform Grid Array, Uniform Circular Array, etc.) and scattering models (Uniform, Gaussian, Laplacian, Von-mises, etc). Inclusion of spatial information provides valuable insights into the physical factors determining the performance of a space-time code. We demonstrate the strength of our new analytical PEP expression by evaluating the performance of two space-time trellis codes proposed in the literature for different spatial scenarios.