Abstract

No simple error-rate formula is available to high-order equal-gain combining (EGC) although it is an open issue traceable to Lord Rayleigh. In this letter, we derive a polynomial error-rate formula for 4~8th EGC in independent identically-distributed (iid) Rayleigh fading, with its coefficients provided in lookup tables and its base simply related to the branch signal-to-noise ratio. The polynomial formula enjoys fast convergence and 48 terms suffice to achieve the accuracy of 10 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">−9</sup> or higher. It is easy to use, just like a handbook formula.

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