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Gaussian Fading Is the Worst Fading

机译：高斯衰落是最糟糕的衰落

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摘要

The capacity of peak-power limited, single-antenna, noncoherent, flat-fading channels with memory is considered. The emphasis is on the capacity pre-log, i.e., on the limiting ratio of channel capacity to the logarithm of the signal-to-noise ratio (SNR), as the SNR tends to infinity. It is shown that, among all stationary and ergodic fading processes of a given spectral distribution function and whose law has no mass point at zero, the Gaussian process gives rise to the smallest pre-log. The assumption that the law of the fading process has no mass point at zero is essential in the sense that there exist stationary and ergodic fading processes whose law has a mass point at zero and that give rise to a smaller pre-log than the Gaussian process of equal spectral distribution function. An extension of these results to multiple-input single-output (MISO) fading channels with memory is also presented.
机译：考虑具有存储器的峰值功率受限，单天线，非相干，平坦衰落信道的容量。由于SNR趋于无穷大，因此重点在于容量预对数，即，信道容量与信噪比（SNR）的对数的极限比。结果表明，在给定频谱分布函数的所有平稳衰变衰落过程中，并且其定律没有零质点的情况下，高斯过程产生了最小的对数。从某种意义上说，衰落过程定律没有质点为零的假设是必不可少的，因为存在平稳定律和遍历衰落过程，它们的定律为零，并且产生的前对数比高斯过程小具有相等的光谱分布函数还提出了将这些结果扩展到具有存储器的多输入单输出（MISO）衰落通道的方法。

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