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 10⁻⁹ or higher. It is easy to use, just like a handbook formula.

中文翻译：

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iid瑞利衰落中高阶EGC错误率的简单准确多项式公式

高阶等增益组合 (EGC) 没有简单的错误率公式可用，尽管它是一个可追溯到瑞利勋爵的开放问题。在这封信中，我们推导出了独立同分布 (iid) 瑞利衰落中第 4~8 个 EGC 的多项式错误率公式，其系数在查找表中提供，其基数仅与分支信噪比相关。多项式公式收敛速度快，48项即可达到10 ^-9或更高的精度。它易于使用，就像手册公式一样。