A Strengthened Cutset Upper Bound on the Capacity of the Relay Channel and Applications
A Strengthened Cutset Upper Bound on the Capacity of the Relay Channel and Applications
复制标题
中继通道容量的强化割集上限及其应用
DOI：
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发表时间：
2021
影响因子：
2.5
通讯作者：
Chandra Nair
中科院分区：
文献类型：
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作者：
A. El Gamal;A. Gohari;Chandra Nair
我们开发了一个新的上界的中继信道的容量比以前已知的上界更紧。这个上界证明使用传统的弱匡威技术，涉及互信息不等式和Gallager型显式识别辅助随机变量。我们表明，新的上限是严格的比以前所有的高斯中继信道与非零信道增益的界限。当专门的中继信道与正交接收机组件，绑定解决了猜想金一类确定性中继信道。当进一步专用于具有正交接收器分量的乘积形式中继信道的类时，该界解决了Cover中继信道问题的广义版本，恢复了Wu等人最近的高斯情况的上界，并且改进了Wu等人和巴恩斯等人最近提出的二元对称情形的边界，这是用非传统的几何证明技术得到的。对于一类特殊的中继信道与正交接收机组件，我们开发了另一个上限的容量，利用辅助接收机，并表明它是严格比Tandon和Ulukus的界限。最后，我们通过高斯中继信道与i.i.d.中继输出序列，与辅助接收机的界限可以严格严格比我们的主要界限。
We develop a new upper bound on the capacity of the relay channel that is tighter than previously known upper bounds. This upper bound is proved using traditional weak converse techniques involving mutual information inequalities and Gallager-type explicit identification of auxiliary random variables. We show that the new upper bound is strictly tighter than all previous bounds for the Gaussian relay channel with non-zero channel gains. When specialized to the relay channel with orthogonal receiver components, the bound resolves a conjecture by Kim on a class of deterministic relay channels. When further specialized to the class of product-form relay channels with orthogonal receiver components, the bound resolves a generalized version of Cover’s relay channel problem, recovers the recent upper bound for the Gaussian case by Wu et al., and improves upon the recent bounds for the binary symmetric case by Wu et al. and Barnes et al., which were obtained using non-traditional geometric proof techniques. For the special class of a relay channel with orthogonal receiver components, we develop another upper bound on the capacity which utilizes an auxiliary receiver and show that it is strictly tighter than the bound by Tandon and Ulukus. Finally, we show through the Gaussian relay channel with i.i.d. relay output sequence that the bound with the auxiliary receiver can be strictly tighter than our main bound.
– 中继通道的容量 –：高斯情况下覆盖问题的解决方案
影响因子：
2.5
作者：
Wu, Xiugang;Barnes, Leighton Pate;Ozgur, Ayfer
通讯作者：
Ozgur, Ayfer
二元对称中继信道的覆盖问题的解决方案：汉明球上的集合几何
DOI：
10.1109/allerton.2017.8262827
发表时间：
2017
期刊：
and Computing (Allerton
影响因子：
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作者：
Barnes, Leighton Pate;Wu, Xiugang;Ozgur, Ayfer
通讯作者：
Ozgur, Ayfer
通过反向超收缩性的中继通道的新对话
DOI：
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发表时间：
2019
期刊：
Abstracts of papers - IEEE International Symposium on Information Theory
影响因子：
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作者：
Jingbo Liu, Ayfer Ozgur
通讯作者：
Jingbo Liu, Ayfer Ozgur