A Second-Order Achievable Rate Region for Gaussian Multi-Access Channels via a Central Limit Theorem for Functions

MolavianJazi Ebrahim; Laneman J. Nicholas

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A Second-Order Achievable Rate Region for Gaussian Multi-Access Channels via a Central Limit Theorem for Functions

机译：通过函数的中心极限定理，高斯多路访问信道的二阶可达到速率区域

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摘要

Motivated by the growing application of multi-access networks with stringent delay constraints, we investigate the Gaussian multiple-access channel (MAC) in the finite blocklength regime. By applying central limit theorem (CLT) approximations to non-asymptotic information-spectrum inner bounds, we obtain second-order achievable rate regions for the Gaussian MAC with a positive average error probability and per-codeword power constraints. Our achievability results use spherical inputs uniformly distributed on the power shells, which lead to summations of dependent information random variables. However, we conduct the analysis through a convenient yet powerful form of the CLT, called the CLT for functions.

机译：受到具有严格延迟限制的多址网络的不断增长的应用的推动，我们研究了有限块长体制中的高斯多址信道（MAC）。通过将中心极限定理（CLT）近似应用于非渐近信息频谱内部边界，我们获得了具有正平均错误概率和每个码字功率约束的高斯MAC的二阶可达到速率区域。我们的可实现性结果使用了均匀分布在电源壳体上的球形输入，从而得出了相关信息随机变量的总和。但是，我们通过方便但功能强大的CLT形式（称为功能CLT）进行分析。

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来源
《Information Theory, IEEE Transactions on》 |2015年第12期|6719-6733|共15页
作者
MolavianJazi Ebrahim; Laneman J. Nicholas;
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作者单位

, University of Notre Dame, Notre Dame, IN, USA;

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正文语种 eng
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Random coding and threshold decoding; change of measure; delta method; dispersion matrix; low-latency communications; mutual information random variable; non-asymptotic achievability bounds; power shell input; second-order coding rate;

机译：随机编码和阈值解码;度量变化;增量法;色散矩阵;低延迟通信;互信息随机变量;非渐近可实现性边界;电源外壳输入;二阶编码率;

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3. SECOND-ORDER PROPERTIES AND CENTRAL LIMIT THEOREMS FOR GEOMETRIC FUNCTIONALS OF BOOLEAN MODELS [J] . Hug Daniel, Last Guenter, Schulte Matthias The Annals of applied probability: an official journal of the Institute of Mathematical Statistics . 2016,第1期

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4. Second-Order Achievable Rates for a Block Fading Gaussian Multiple Access Channel [C] . Deekshith P K, Vinod Sharma IEEE International Symposium on Information Theory . 2020

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8. Central Limit Theorems for Extreme Sojourns of Stationary Gaussian Processes.(Reannouncement with New Availability Information) [R] . Berman, S. M. 1991

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A Second-Order Achievable Rate Region for Gaussian Multi-Access Channels via a Central Limit Theorem for Functions

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