论文标题
在具有可逆正矩阵的离散无内存通道能力的边界和封闭形式表达式上
On Bounds and Closed Form Expressions for Capacities of Discrete Memoryless Channels with Invertible Positive Matrices
论文作者
论文摘要
虽然对无内存通道的能力进行了充分的研究，但仍无法获得任意离散无内存通道的容量的闭合形式表达式。本文介绍了一种基于Karush Kuhn Tucker（KKT）条件的基本技术，以获得（1）具有离散无内存通道的良好上限，如果通道矩阵满足与其奇异值及其gershgorin disk相关的某些条件，则具有可逆性正信道矩阵的良好上限和（2）容量的闭合形式表达。
While capacities of discrete memoryless channels are well studied, it is still not possible to obtain a closed-form expression for the capacity of an arbitrary discrete memoryless channel. This paper describes an elementary technique based on Karush Kuhn Tucker (KKT) conditions to obtain (1) a good upper bound of a discrete memoryless channel having an invertible positive channel matrix and (2) a closed-form expression for the capacity if the channel matrix satisfies certain conditions related to its singular value and its Gershgorin disk.
