[1]陈汉武.高斯型信道容量函数的特征[J].东南大学学报(自然科学版),2004,34(6):724-728.[doi:10.3969/j.issn.1001-0505.2004.06.003]
 Chen Hanwu.Characteristics of Gaussian channel capacity functions[J].Journal of Southeast University (Natural Science Edition),2004,34(6):724-728.[doi:10.3969/j.issn.1001-0505.2004.06.003]
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高斯型信道容量函数的特征()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
34
期数:
2004年第6期
页码:
724-728
栏目:
数学、物理学、力学
出版日期:
2004-11-20

文章信息/Info

Title:
Characteristics of Gaussian channel capacity functions
作者:
陈汉武
东南大学计算机科学与工程系, 南京 210096
Author(s):
Chen Hanwu
Department of Computer Science and Engineering, Southeast University, Nanjing 210096, China
关键词:
高斯型信道 信道容量 Shannon理论
Keywords:
Gaussian channel channel capacity Shannon theory
分类号:
O236
DOI:
10.3969/j.issn.1001-0505.2004.06.003
摘要:
利用泛函分析的思想研究高斯型信道容量函数的特征,给出了经典信息理论中高斯型信道容量函数特征的一种新的证明方法.证明了不带有反馈的高斯型信道容量函数Cn,Z(P)和带有反馈的高斯型信道容量函数Cn,FB,Z(P)FB都是关于平均功率P的凹函数; 同时证明了Cn,Z(P)是关于噪声Z的凸函数,Cn,FB,Z(P)FB却是关于噪声Z在某种意义上的凸函数.这些结果将有助于高斯信道容量的研究.
Abstract:
A new proof of characteristics of the capacity of Gaussian channel in the classical information theory is presented by dint of functional analysis to study characteristics of the capacity(channel transmission efficiency)of Gaussian channel. It is verified that the nonfeedback capacity Cn,Z(P)and the feedback capacity Cn,FB,Z(P)FB are both concave functions of average power P. It is also shown that Cn,Z(P) is a convex function of noises Z, and Cn,FB,Z(P)FB is a convex-like function of noises Z in some sense. These results are helpful to the research of the capacity of Gaussian channel.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 日本科学技术振兴会科学研究基金资助项目(11640169).
作者简介: 陈汉武(1955—),男, 博士, 教授, hw_chen@seu.edu.cn.
更新日期/Last Update: 2004-11-20