Upper bounds on the capacity of discrete-time blockwise white Gaussian channels with feedback
Upper bounds on the capacity of discrete-time blockwise white Gaussian channels with feedback
复制标题
带反馈的离散时间分块白高斯通道容量的上限
DOI：
10.1109/18.841195
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发表时间：
2000
影响因子：
2.5
通讯作者：
K. Yanagi
中科院分区：
文献类型：
--
作者：
H. Chen;K. Yanagi
虽然众所周知反馈并不增加加性白色高斯信道的容量，但Yanagi（1992）给出了反馈增加离散时间非白色高斯信道的容量C/sub n，FB/（P）的充要条件。本文证明了带反馈高斯信道的容量C/sub n，FB/（P）是P的凹函数，并给出了两类不等式：1//spl alpha/ C/sub n，FB/（/spl alpha/P）和C/sub n，FB/（/spl alpha/P）+ 1/2 ln 1//spl alpha/都是/spl alpha/>0的递减函数.作为它们的应用，我们可以得到两个上界的离散时间块式白色高斯信道的反馈容量。当功率约束P相对较小时，所得结果是非常有用的。
Although it is well known that feedback does not increase the capacity of an additive white Gaussian channel, Yanagi (1992) gave the necessary and sufficient condition under which the capacity C/sub n,FB/(P) of a discrete time nonwhite Gaussian channel is increased by feedback. In this correspondence we show that the capacity C/sub n,FB/(P) of the Gaussian channel with feedback is a concave function of P, and give two types of inequalities: both 1//spl alpha/ C/sub n,FB/(/spl alpha/P) and C/sub n,FB/(/spl alpha/P)+ 1/2 ln 1//spl alpha/ are decreasing functions of /spl alpha/>0. As their application we can obtain two upper bounds on the capacity of the discrete-time blockwise white Gaussian channel with feedback. The results are quite useful when power constraint P is relatively not large.