The Study of Practical Logarithmic Detectors using Edgeworth Series Expansion

Jun Wang, Yinan Zhao, X. Qiao
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Abstract

Characteristics of practical logarithmic detectors are investigated and the moments and cumulants of this type detector are determined. The integration PDF for n pulses at the output of this type detector in Rayleigh interference is approximated with Edgeworth series expansion. The accuracy of this series expansion can be controlled because of its convergence property.
应用Edgeworth级数展开的实用对数检测器的研究
研究了实用对数检测器的特性,确定了该型检测器的矩量和累积量。用Edgeworth级数展开近似计算了该型探测器在瑞利干涉下输出n个脉冲的积分PDF。由于该级数展开式的收敛性,其精度是可以控制的。
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