Our paper “Asymptotic Comparison of ML and MAP Detectors for Multidimensional Constellations” has been accepted for publication in the IEEE Trans. on Inf. Theory. In this paper, we revisit a classical problem in digital communications, namely, the evaluation of the symbol error probability (SEP) and bit error probability (BEP) of multidimensional constellations over an additive white Gaussian noise channel. Exact closed-form asymptotic expressions for SEP and BEP for arbitrary constellations and input distributions are presented and the well-known union bound is proven to be asymptotically tight under general conditions.
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