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Stochastic Ordering of Fading Channels Through the Shannon Transform

机译:通过香农变换的衰落信道的随机排序

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摘要

A new stochastic order between two fading distributions is introduced. A fading channel dominates another in the ergodic capacity ordering sense, if the Shannon transform of the first is greater than that of the second at all values of average signal-to-noise ratio. It is shown that some parametric fading models, such as the Nakagami-, Rician, and Hoyt are distributions that are monotonic in their line of sight parameters with respect to the ergodic capacity order. Some operations under which the ergodic capacity order is preserved are also discussed. Through these properties of the ergodic capacity order, it is possible to compare under two different fading scenarios, the ergodic capacity of a composite system involving multiple fading links with coding/decoding capabilities only at the transmitter/receiver. Such comparisons can be made even in cases when a closed form expression for the ergodic capacity of the composite system is not analytically tractable. Applications to multiple access channels, and extensions to multiple-input multiple-output systems are also discussed.
机译:引入了两个衰落分布之间的新的随机顺序。如果在平均信噪比的所有值下,第一个通道的香农变换大于第二个通道的香农变换,则在遍历容量排序意义上,衰落通道将主导另一个通道。结果表明,某些参数衰落模型(例如Nakagami-,Rician和Hoyt)是在其视线参数方面相对于遍历容量顺序单调的分布。还讨论了保留遍历能力顺序的一些操作。通过遍历容量顺序的这些属性,可以在两种不同的衰落方案下进行比较,即涉及多个衰落链路的复合系统的遍历容量仅在发送器/接收器处具有编码/解码能力。即使在复合系统的遍历容量的闭合形式表达式在分析上难以处理的情况下,也可以进行这种比较。还讨论了对多个访问通道的应用以及对多输入多输出系统的扩展。

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