Asymptotically tight error rate bounds for EGC in correlated generalized Rician fading

Exact error rate analysis for pre-detection equal gain combining over arbitrarily correlated fading branches has proven elusive. Even specialized correlation models result in complex error rate expressions with multiple nested infinite series or integrals. For this reason, asymptotic analysis is a useful tool due to the simplicity of the error rate expressions it produces. However, one major shortcoming of this approach is that the asymptotic technique can not predict at what signal-to-noise ratio the asymptotic approximation is accurate. In this paper, we derive asymptotically tight single-integral lower and upper bounds on the error probability for a correlated generalized Rician fading model. These lower and upper bounds help determine when the asymptotic solutions approach the exact results.