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Bandwidth occupancy of non-coherent wideband fading channels

机译:非相干宽带衰落信道的带宽占用

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Peaky and non-peaky signaling schemes have long been considered species apart in non-coherent wideband fading channels, as the first approaches asymptotically the linear-in-power capacity of a wideband AWGN channel with the same SNR, whereas the second reaches a nearly power-limited peak rate at some finite critical bandwidth and then falls to zero as bandwidth grows to infinity. In this paper it is shown that this distinction is in fact an artifact of the limited attention paid in the past to the product between the bandwidth and the fraction of time it is in use. This fundamental quantity, that is termed bandwidth occupancy, measures average bandwidth usage over time. The two types of signaling in the literature are harmonized to show that, for any type of signals, there is a fundamental limit—a critical bandwidth occupancy. All signaling schemes with the same bandwidth occupancy approach the capacity of wideband AWGN channels with the same asymptotic behavior as the bandwidth occupancy grows to its critical value. For a bandwidth occupancy above the critical, rate decreases to zero as the bandwidth occupancy goes to infinity.
机译:长期以来,峰值和非峰值信令方案一直被认为是非相干宽带衰落信道中的物种,因为第一种渐近地接近具有相同SNR的宽带AWGN信道的功率线性容量,而第二种渐近地接近功率有限的临界带宽处的最大峰值速率,然后随着带宽增长到无穷大而降至零。本文表明,这种区分实际上是过去在带宽和使用时间的一部分之间对产品的有限关注的产物。这个基本量(称为带宽占用率)衡量随时间变化的平均带宽使用量。文献中的两种信令类型协调一致,表明对于任何类型的信号,都有一个基本的限制-临界带宽占用率。随着带宽占用率增加到其临界值,具有相同带宽占用率的所有信令方案都将接近具有相同渐近行为的宽带AWGN信道的容量。对于超过临界带宽的带宽占用率,随着带宽占用率达到无穷大,速率将降低为零。

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