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Analytical level crossing rates and average fade durations for diversity techniques in Nakagami fading channels

机译:Nakagami衰落信道中分集技术的分析电平穿越速率和平均衰落持续时间

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摘要

The level crossing rates (LCRs) and average fade durations (AFDs) of a fading channel find diverse applications in the evaluation and design of wireless communication systems. Analytical expressions for these quantities are available in the literature for certain diversity reception techniques, but are generally limited to the Rayleigh fading channel, with few exceptions. Moreover, the methods employed are usually specific to a certain channel/diversity pair, and thus cannot be applied to all cases of interest. Using a unified methodology, we derive analytical expressions for the LCRs and AFDs for three diversity reception techniques and a general Nakagami (1960) fading channel. We provide novel analytical expressions for selection combining (SC) and equal-gain combining (EGC), and rederive in a more general manner the case of maximal-ratio combining (MRC). It is shown that our general results reduce to some specific cases previously published. These results are used to examine the effects of the diversity technique, the number of receiving branches and severity of the fading on the concerned quantities. It is observed that as the Nakagami m-parameter and the diversity order increase, the behavior of the combined received envelope for EGC follows closely the one for MRC, and distances itself from SC.
机译:衰落信道的电平穿越速率(LCR)和平均衰落持续时间(AFD)在无线通信系统的评估和设计中找到了各种应用。这些量的分析表达式在文献中可用于某些分集接收技术,但除少数例外,通常限于瑞利衰落信道。而且,所采用的方法通常是特定于某个信道/分集对的,因此不能应用于所有感兴趣的情况。使用统一的方法,我们推导了三种分集接收技术和一般Nakagami(1960)衰落信道的LCR和AFD的解析表达式。我们为选择组合(SC)和等增益组合(EGC)提供了新颖的解析表达式,并且以最大比例组合(MRC)的方式更普遍地重新分配。结果表明,我们的总体结果简化为以前发表的一些特定案例。这些结果用于检查分集技术,接收分支的数量和衰落对相关数量的严重性的影响。可以看出,随着Nakagami m参数和分集阶数的增加,EGC的合并接收包络的行为与MRC的接收包络的行为密切相关,并且其自身与SC的距离也很远。

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