Information transmission with additional noise
Information transmission with additional noise
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DOI：
10.1109/tit.1962.1057738
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发表时间：
1962-09
期刊：
影响因子：
--
通讯作者：
R. Dobrushin;B. Tsybakov
中科院分区：
文献类型：
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作者：
R. Dobrushin;B. Tsybakov
Pro-th 信息编码中香农的常见 Ban 问题（如下：有 % ao, me 要传输，其中有一个随机 j？其值设置在可测量的 3ample apaoeX 上。(Xn moat aPplioatlon3 X~~(ta) eSum% d 为 I2。w 函数的 spoa，其中参数 + 取 3Peoific 区间内的值或被识别为一系列离散值80，分别被处理为38个连续的离散时间。此外，通信通道输入上有信号值的spao％Y（在大多数应用中，它也是函数的空间），泛滥操作由具有Y内值的函数#@Q、XCX给出。（出于本文的目的，我们将放弃使保留了spaoe的可测量性，正统的数学读者可以自己重新解释这些），因此可以很容易地将me映射到通道输入上，以对变量施加某些限制（例如，平均输入信号PQwer的生理自然要求）。限制可能是由输入信号r\的分布应该属于分布9%的某个s%l%ct%dCla3S的要求所压制的。
The usual Ban blem of Shannon in pro-th inf ormation coding (of. ts in the following: there% ao, me to be transmitted whioh fs a rando iable j? whose values are set over a meaeurable 3ample apaoeX.(Xn moat aPplioatlon3 X~~(ta) eSum% d to be I2. w spoa of funotions where the argument+ takes values within a 3Peoific interval or is identifled with a discrete series of values 80 that the be treated a3 a random proce38 continuous OF discrete time respectively. Further there is this spao% Y of signal values on the communioatlon channel input (in most appaications it is also a apace of functions), The ooding operation is given simpPy t by a funotion#@ Q, XCX having values wfthin the Y.(We shall. abstain, for the purposes of this article, from making reservations oonoeaning the measurability of the spaoe, the functions and the 3ets consideredi. The orthodoxloally mathematioal reader may well reoonstruot these for himseLf). Thus the me maPped onto the rando on the channel input neoeasary to impose ceriain limit3 on the variable~(for example the physioally natural requirement of the llmltation Of the average input signal PQwer). In general aa3e these limitations may be BX-pressed by the requirement that the di3-tribution of the input signal r\, should belong to a certain s% l% ct% d Cla3S Of distributions 9%.