Easily Invertible Tight Bounds for Diversity Reception

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