Algebraic lattices achieving the capacity of the ergodic fading channel
Algebraic lattices achieving the capacity of the ergodic fading channel
复制标题
实现遍历衰落通道容量的代数格
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
J. Belfiore
中科院分区：
文献类型：
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作者：
A. Campello;Cong Ling;J. Belfiore
在这项工作中，我们表明，从纠错码构造的代数格实现了衰落信道的遍历容量。我们构建的主要成分是Minkowski-Hlawka定理的广义版本和基于格点高斯分布的成形技术。数域中整数环的结构在所提出的构造中起着重要的作用。在独立和同分布的衰落的情况下，考虑的格子表现出充分的多样性和指数衰减的错误的概率相对于块长度。
In this work we show that algebraic lattices constructed from error-correcting codes achieve the ergodic capacity of the fading channel. The main ingredients for our construction are a generalized version of the Minkowski-Hlawka theorem and shaping techniques based on the lattice Gaussian distribution. The structure of the ring of integers in a number field plays an important role in the proposed construction. In the case of independent and identically distributed fadings, the lattices considered exhibit full diversity and an exponential decay of the probability of error with respect to the blocklength.