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Symbol Error Rate of MPSK Over EGK Channels Perturbed by a Dominant Additive Laplacian Noise

机译:受主要加性拉普拉斯噪声干扰的EGK信道上MPSK的符号错误率

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摘要

The Laplacian noise has received much attention during the recent years since it affects many communication systems. We consider in this paper the probability of error of an M-ary phase shift keying (PSK) constellation operating over a generalized fading channel in presence of a dominant additive Laplacian noise. In this context, the decision regions of the receiver are determined using the maximum likelihood and the minimum distance detectors. Once the decision regions are extracted, the resulting symbol error rate expressions are computed and averaged over an extended generalized-K fading distribution. Generic closed form expressions of the conditional and the average probability of error are obtained in terms of the Fox's H function. Simplifications for some special cases of fading are presented and the resulting formulas end up being often expressed in terms of well known elementary functions. Finally, the mathematical formalism is validated using some selected analytical-based numerical results as well as Monte-Carlo simulation-based results.
机译:由于拉普拉斯噪声影响许多通信系统,因此近年来受到了很多关注。我们在本文中考虑了在存在主要加性拉普拉斯噪声的情况下,在广义衰落信道上运行的M进制相移键控(PSK)星座图的错误概率。在这种情况下,使用最大似然和最小距离检测器确定接收器的决策区域。一旦提取了决策区域,就在扩展的广义K衰落分布上计算并平均所得的符号错误率表达式。条件和错误的平均概率的通用闭合形式表达式是根据Fox的H函数获得的。给出了一些特殊的衰落情况的简化形式,最终得到的公式通常以众所周知的基本函数来表示。最后,使用一些选定的基于分析的数值结果以及基于蒙特卡洛模拟的结果,对数学形式主义进行了验证。

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