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Bounds on the Capacity of OFDM Underspread Frequency Selective Fading Channels

机译:OFDM欠扩频率选择性衰落信道容量的界限

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The analysis of the channel capacity in the absence of prior channel knowledge (noncoherent channel) has gained increasing interest in recent years. Yet, the noncoherent channel capacity is still unknown for the general case. In this paper, we derive bounds on the capacity of the noncoherent, underspread complex Gaussian, orthogonal frequency division multiplexing, wide sense stationary channel with uncorrelated scattering, under a peak power constraint or a constraint on the second and fourth moments of the transmitted signal. These bounds are characterized only by the system signal-to-noise ratio (SNR) and by a newly defined quantity termed effective coherence time. Intuitively, the effective coherence time can be interpreted as the length of a block in the block-fading model in which a system with the same SNR will achieve the same capacity as in the analyzed channel. Unlike commonly used coherence time definitions, it is shown that the effective coherence time depends on the SNR, and is a nonincreasing function of it. We show that for low SNR, the capacity is proportional to the effective coherence time, while for higher SNR, the coherent channel capacity can be achieved provided that the effective coherence time is large enough.
机译:在没有先验信道知识(非相干信道)的情况下,对信道容量的分析近年来引起了越来越多的兴趣。然而,对于一般情况,非相干信道容量仍然是未知的。在本文中,我们在峰值功率约束或对发射信号的第二和第四矩的约束下,得出了非相干,欠扩展的复高斯,正交频分复用,具有不相关散射的广义固定信道的容量范围。这些界限仅通过系统信噪比(SNR)和新定义的有效有效时间来表征。直观地,有效相干时间可以解释为块衰落模型中块的长度,在该模型中,具有相同SNR的系统将获得与所分析信道相同的容量。与常用的相干时间定义不同,它表明有效相干时间取决于SNR,并且是SNR的非递增函数。我们表明,对于低SNR,容量与有效相干时间成正比,而对于较高SNR,只要有效相干时间足够大,就可以实现相干信道容量。

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