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Diversity techniques play a key role in modern wireless systems, whose design benefits from a clear understanding of how these techniques affect system performance. To this aim the authors propose a simple class of bounds, whose parameters are optimized, on the Symbol Error Probability (SEP) for detection of arbitrary two-dimensional signaling constellations with diversity in the presence of non-ideal channel estimation. Unlike known bounds, the optimized simple bounds are tight for all Signal-to-Noise Ratios (SNRs) of interest. In addition, these bounds are easily invertible, which enables one to obtain bounds on the Symbol Error Outage (SEO) and SNR penalty.
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