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arXiv 1107.0639cs.ITmath.IT
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OFDM欠扩展频率选择性衰落信道容量的界

Bounds on the capacity of OFDM underspread frequency selective fading channels

Itsik Bergel, Sergio Benedetto

摘要:

近年来,在缺乏信道先验知识(非相干信道)的情况下,信道容量的分析得到了越来越多的关注,但对于一般情况,它仍然是未知的。在本文中,我们推导出的能力的非相干,欠扩展复高斯,正交频分复用(OFDM),广义平稳信道与不相关散射(WSSUS),峰值功率约束下或约束下的第二和第四时刻的发送信号。这些界限的特点是,只有系统的信噪比(SNR)和一个新定义的量称为有效的相干时间。有效相干时间的分析表明,它可以被解释为块衰落模型中的块的长度,其中具有相同SNR的系统将实现与所分析的信道中相同的容量。不同于常用的相干时间定义,它表明,有效的相干时间取决于SNR,并且是它的非增函数。我们表明,对于低SNR的容量是成正比的有效相干时间,而对于较高的SNR的相干信道容量可以实现提供的有效相干时间是足够大的。

英文摘要:

The analysis of the channel capacity in the absence of prior channel knowledge (noncoherent channel) has gained increasing interest in recent years, but it 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 (OFDM), wide sense stationary channel with uncorrelated scattering (WSSUS), 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. Analysis of the effective coherence time reveals that it 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.

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