Extremal Channels of Gallager's $E_{0}$ Under the Basic Polarization Transformations
Extremal Channels of Gallager's $E_{0}$ Under the Basic Polarization Transformations
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基本偏振变换下 Gallager $E_{0}$ 的极值通道
DOI：
10.1109/tit.2014.2301133
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发表时间：
2014
影响因子：
2.5
通讯作者：
Mine Alsan
中科院分区：
文献类型：
--
作者：
Mine Alsan
我们从信道极化的角度研究了均匀输入分布下二进制输入离散无记忆信道的Gallager可靠性函数E0的二进制擦除信道和二进制对称信道的极值性。特别地，我们表明，在给定 E0(ρ) 值的所有二进制离散无记忆通道中，对于固定的 ρ ≥ 0，二进制擦除通道和二进制对称通道在一步极化变换下的 E0 演化中处于极值。
We study the extremality of the binary erasure channel and the binary symmetric channel for Gallager's reliability function E0 of binary input discrete memoryless channels evaluated under the uniform input distribution from the aspect of channel polarization. In particular, we show that amongst all binary discrete memoryless channels of a given E0(ρ) value, for a fixed ρ ≥ 0, the binary erasure channel and the binary symmetric channel are extremal in the evolution of E0 under the one-step polarization transformations.