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Capacity of Channels With Frequency-Selective and Time-Selective Fading

机译：具有频率选择和时间选择衰落的信道的容量

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摘要

This paper finds the capacity of single-user discrete-time channels subject to both frequency-selective and time-selective fading, where the channel output is observed in additive Gaussian noise. A coherent model is assumed where the fading coefficients are known at the receiver. Capacity depends on the first-order distributions of the fading processes in frequency and in time, which are assumed to be independent of each other, and a simple formula is given when one of the processes is independent identically distributed (i.i.d.) and the other one is sufficiently mixing. When the frequency-selective fading coefficients are known also to the transmitter, we show that the optimum normalized power spectral density is the waterfilling power allocation for a reduced signal-to-noise ratio (SNR), where the gap to the actual SNR depends on the fading distributions. Asymptotic expressions for high/low SNR and easily computable bounds on capacity are also provided.
机译：本文发现了单用户离散时间信道的容量，该信道既受频率选择衰落又受时间选择衰落的影响，其中信道输出在加性高斯噪声中观察到。假设一个相干模型，其中在接收机处衰落系数是已知的。容量取决于衰落过程在频率和时间上的一阶分布，假定它们彼此独立，并且当一个过程独立地相同地分布（iid）而另一个过程独立地相同分布（iid）时，给出一个简单的公式充分混合。当发射机也知道频率选择衰落系数时，我们表明最佳归一化功率谱密度是针对降低的信噪比（SNR）的注水功率分配，其中与实际SNR的差距取决于衰落分布。还提供了用于高/低SNR以及容量容易计算的渐近表达式。

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