Reverse hypercontractivity region for the binary erasure channel
Reverse hypercontractivity region for the binary erasure channel
复制标题
二进制擦除通道的反向超收缩区域
DOI：
10.1109/isit.2017.8006666
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Yan Nan Wang
中科院分区：
文献类型：
--
作者：
Chandra Nair;Yan Nan Wang
在本文中，我们获得了变量对（X，Y）的反向超收缩区域，其中X是均匀分布的二元随机变量，Y（三元随机变量）是通过将X传递到对称二元擦除通道（BEC）获得的，对于非平凡的参数范围。所使用的技术建立在两个最新结果的基础上：a）使用信息测量来表征反向超收缩性，b）计算 BEC 的前向超收缩区域。
In this paper, we obtain the reverse hypercontractive region for the pair of variables (X, Y) where X is a uniformly distributed binary random variable and Y (a ternary random variable) is obtained by passing X through a symmetric binary erasure channel (BEC), for a non-trivial range of parameters. The technique used builds on two recent results: a) characterization of reverse hypercontractivity using information measures, and b) computation of the forward hypercontractive region for the BEC.