Performance evaluation of super-orthogonal space-time trellis codes using a moment generating function-based approach

We extend the method based on the moment generating function (MGF), previously applied to analyzing the performance of orthogonal space-time block and trellis codes, to super-orthogonal codes that combine set-partitioning with a super set of orthogonal space-time block codes in such a way as to provide full diversity with increased rate and improved coding gain. It is shown that the maximum-likelihood (ML) metric and expressions for the pairwise error probability (PEP), previously developed for the Alamouti code combined with multidimensional trellis-coded modulation (TCM), can be readily extended to the super-orthogonal case.