On the Capacity Bounds of Non-Restricted Gaussian Amplify-and-Forward Two-Way Relay Channel

On the Capacity Bounds of Non-Restricted Gaussian Amplify-and-Forward Two-Way Relay Channel
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无限制高斯放大转发双向中继通道的容量界限

DOI:
10.1109/lcomm.2012.081612.120214
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发表时间:
2012-08
期刊:
IEEE Communications Letters
影响因子:
--
通讯作者:
Zhaoyang Zhang
Zhaoyang Zhang
中科院分区:
其他
文献类型:
--
作者:
Yu Zhang;Zhaoyang Zhang

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在这封信中,我们重新审视非受限半双工高斯放大和前向双向中继信道(AF-TWRC)。通过对一般双向信道的香农内界和外界的求值,导出了其容量区域的内界和外界。我们证明,与高斯双向信道(GTWC)的两个边界重合从而建立其容量区域的情况相反,AF-TWRC的两个边界不重合,除非两个终端都是无噪声的,因为中间中继节点引入了与来自两个终端的信道输入相关的额外功率约束。这表明,非受限高斯AF-TWRC的容量区仍然是开放的,而之前认为该容量区已经以类似于GTWC的方式建立起来。我们进一步研究了无噪声的无限制AF-TWRC继电器的特殊情况,并基于紧相关平衡界得到了它的容量区域。
In this letter, we revisit the non-restricted half-duplex Gaussian amplify-and-forward two-way relay channel (AF-TWRC). The inner and outer bounds of its capacity region are derived by evaluating Shannon's inner and outer bounds for general two-way channels. We prove that, in contrast to the case of Gaussian two-way channel (GTWC) where the two bounds coincide thus establishing its capacity region, the two bounds of AF-TWRC do not coincide unless both terminals are noise-free, due to that the intermediate relay node introduces additional power constraint relating to the correlation of channel inputs from both terminals. This indicates that the capacity region of non-restricted Gaussian AF-TWRC, which was previously believed to be already established in a way similar to that of GTWC, still remains open. We further investigate a special case of non-restricted AF-TWRC where the relay is noise-free, and obtain its capacity region based on the tighter dependence balance bound.
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