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Coding for Parallel Gaussian Bidirectional Relay Channels: A Deterministic Approach

机译:并行高斯双向中继信道的编码:确定性方法

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摘要

We study the capacity region of the parallel Gaussian bidirectional relay channel with independent sub-channels and propose efficient coding schemes for approaching the capacity limit within a constant gap. A two-step approach is considered. First, the corresponding finite field linear deterministic model is studied, for which linear network coding across sub-channels is shown to achieve the capacity region of the channel. Next, based on the insight obtained, a lattice-based compute-and-forward scheme together with simple linear network coding across sub-channels is proposed and is shown to achieve the capacity region of the Gaussian model to within bits per user regardless of the channel parameters. Even though coding across different sub-channels is necessary for approaching the capacity region, it is shown that this can be realized through a simple linear network coding scheme (across different sub-channels) at the relay.
机译:我们研究了具有独立子信道的并行高斯双向中继信道的容量区域,并提出了在恒定间隙内接近容量极限的有效编码方案。考虑了两步法。首先,研究了相应的有限域线性确定性模型,针对该模型,显示了跨子信道的线性网络编码以实现信道的容量区域。接下来,基于所获得的见识,提出了一种基于格的计算转发方案以及跨子信道的简单线性网络编码,并显示了该方案可实现高斯模型的容量区域达到每位用户数以内,而不考虑通道参数。即使接近不同的子信道进行编码对于接近容量区域是必要的,但显示出这可以通过中继器处的简单线性网络编码方案(跨不同的子信道)来实现。

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