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A method for computing the probability of symbol error for space-time trellis codes is developed by means of results from large deviation theory for quadratic Gaussian forms. The issue is that in order to build a space-time trellis code with small probability of error it is sufficient to find a metric for the Viterbi decoding algorithm for which there exists a Cramer’s rate function who minimizes...
We prove a central limit theorem for products of centered i.i.d. r.v.'s taking values on nilpotent, graded, simply connected Lie groups. The main tool is given by weak approximation results for SDEs.
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