Operator inequality and its application to capacity of Gaussian channel

被引：5

作者：

Yanagi, K ^{[1
]}

Chen, HW

Yu, JW

机构：

[1] Yamaguchi Univ, Fac Engn, Dept Appl Sci, Ube, Yamaguchi 7558611, Japan

[2] Yamaguchi Univ, Grad Sch Sci & Engn, Ube, Yamaguchi 7558611, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2000年 / 4卷 / 03期

关键词：

operator inequality; Gaussian channel; capacity; feedback;

D O I：

10.11650/twjm/1500407257

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give some inequalities of capacity in Gaussian channel with or without feedback. The nonfeedback capacity C-n,C-z(P) and the feedback capacity C-n,C-FB,C-Z(P) are both concave functions of P. Though it is shown that C-n,C-Z(P) is a convex function of Z in some sense, C-n,C-FB,C-Z(P) is a convex-like function of Z.

引用

页码：407 / 416

页数：10

共 15 条

[1]

Chen HW, 1997, IEICE T FUND ELECTR, VE80A, P2272

[2] Upper bounds on the capacity of discrete-time blockwise white Gaussian channels with feedback [J].

Chen, HW ;

Yanagi, K .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (03) :1125-1131

[3]

Chen HW, 1999, IEEE T INFORM THEORY, V45, P319, DOI 10.1109/18.746831

[4]

Cover T. M., 2005, ELEM INF THEORY, DOI 10.1002/047174882X

[5] GAUSSIAN FEEDBACK CAPACITY [J].

COVER, TM ;

POMBRA, S .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1989, 35 (01) :37-43

[6]

COVER TM, 1987, OPEN PROBLEMS COMMUN, P70

[7] ON GAUSSIAN FEEDBACK CAPACITY [J].

DEMBO, A .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1989, 35 (05) :1072-1076

[8] CAPACITY OF GAUSSIAN CHANNEL WITH FEEDBACK [J].

EBERT, PM .

BELL SYSTEM TECHNICAL JOURNAL, 1970, 49 (08) :1705-+

[9]

GALLAGER RG, 1968, INFORMATION THEORY R

[10]

IHARA S, 1989, JAPAN J APPL MATH, V6, P245

← 1 2 →