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本文综合了有关文献,系统地介绍用Gram-Charlier级数来求光电雪崩二极管的接收机的误码率。这种方法比常用的高斯近似法和Chernoff界限法精确,但计算比较复杂,如用电子计算机来计算,便有优点。本文对全部公式进行推导和注解,也纠正了有关文献印刷上的错误,并给出有关文献没有明确的计算公式,如阈值的关系式,最后列出计算步骤,便于读者掌握,这就是本文的主要目的。对概率理论矩母函数不熟悉的读者,可以先阅后面的补充材科。
This article synthesizes the literature to systematically introduce the bit error rate of a receiver using a Gram-Charlier series for a phototrans Avalanche diode. This method is more accurate than the common Gaussian approximation and the Chernoff bound method, but the computations are more complex and have the advantage of being computed with a computer. In this paper, the derivation and annotation of all the formulas are also made, and the errors in the printing of the relevant documents are also corrected, and there is no clear calculation formula of the relevant documents, such as the relation of the thresholds, and finally the calculation steps are listed to facilitate the readers to master. main purpose. Readers of unfamiliarity with the theory of moment of probability may wish to read the Supplementary Materials section later.