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arXiv 0801.3521cs.ITmath.IT
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部分信道反馈的稀疏宽带信道容量

Capacity of Sparse Wideband Channels with Partial Channel Feedback

Gautham Hariharan, Vasanthan Raghavan, Akbar M. Sayeed

摘要:

本文研究了有限反馈宽带多径信道的遍历容量。我们的工作建立在最近的结果,已经建立了显着的容量增益的可能性,在宽带/低信噪比制度时,有完美的信道状态信息(CSI)在发射机。此外,完美的CSI基准增益可以通过每个信道系数仅一个比特的反馈来获得。然而,在这些方法中使用的输入信号是峰值的,即,它们具有大的峰均功率比。信号峰值与信道相干性有关,最近的许多测量活动表明,与以前的假设相反,宽带信道呈现出稀疏的多径结构,自然导致时间和频率的相干性。在这项工作中,我们首先表明,即使是瞬时功率约束是足够的,以实现基准增益时,完美的CSI是在接收机。在更现实的非相干设置中,我们研究了基于训练的信令方案的性能。我们表明,可以利用多径稀疏性,以实现基准增益下的平均以及瞬时功率的限制,只要信道相干尺度在一个足够快的速率与信号空间维度。我们还提出了经验法则选择信令参数作为信道参数的函数,以便可以实现稀疏性的全部好处。

英文摘要:

This paper studies the ergodic capacity of wideband multipath channels with limited feedback. Our work builds on recent results that have established the possibility of significant capacity gains in the wideband/low-SNR regime when there is perfect channel state information (CSI) at the transmitter. Furthermore, the perfect CSI benchmark gain can be obtained with the feedback of just one bit per channel coefficient. However, the input signals used in these methods are peaky, that is, they have a large peak-to-average power ratios. Signal peakiness is related to channel coherence and many recent measurement campaigns show that, in contrast to previous assumptions, wideband channels exhibit a sparse multipath structure that naturally leads to coherence in time and frequency. In this work, we first show that even an instantaneous power constraint is sufficient to achieve the benchmark gain when perfect CSI is available at the receiver. In the more realistic non-coherent setting, we study the performance of a training-based signaling scheme. We show that multipath sparsity can be leveraged to achieve the benchmark gain under both average as well as instantaneous power constraints as long as the channel coherence scales at a sufficiently fast rate with signal space dimensions. We also present rules of thumb on choosing signaling parameters as a function of the channel parameters so that the full benefits of sparsity can be realized.

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