第1单元TEXTAampB.ppt
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1、Unit 1 basics of communication,Text AA Mathematical Theory of Communication,Unit 1,原文:The recent development of various methods of modulation such as PCM and PPM which exchange bandwidth for signal-to-noise ratio has intensified the interest in a general theory of communication.,译文:各种调制方法,如PCM和PPM,能
2、够完成带宽与信噪比的交换,它们的发展增强了通信理论的重要性。,Unit 1,原文:A basis for such a theory is contained in the important papers of Nyquist and Hartley on the subject.,译文:在本学科,Nyquist和Hartley的重要论文中包含了这种理论的基础。,Unit 1,原文:In this paper we will extend the theory to include a number of new factor,in particular the effect of nois
3、e in the channel,and the savings possible due to the statistical structure of the original message and due to the nature of the final destination of information.,译文:在本文中,我们将这些理论进行扩展,包括许多新的因素,尤其是信道中噪声的影响,以及可能由于原始信息的统计结构和信宿的特性所导致的信息存储。,Unit 1,原文:The fundamental problem of communication is that of repr
4、oducing at one point either exactly or approximately a message selected at another point.,译文:通信的基本问题是如何在一点精确或近似的再生来自另一点的信息。,Unit 1,原文:Frequently the messages have meaning,that is they refer to or are correlated according to some system with certain physical or conceptual entities.,译文:信息通常有具体含义,按照一定的
5、物理或概念实体,其含义与这些系统相互关联。,Unit 1,原文:These semantic aspects of communication are irrelevant to the engineering problem.A significant aspect is that the actual message is one selected from a set of possible messages.,译文:这些通信的语义方面与工程问题不相干。一个重要的方面是那个实际的消息是从一组可能的消息中选出来的。,原文:These semantic aspects of communic
6、ation are irrelevant to the engineering problem.A significant aspect is that the actual message is one selected from a set of possible messages.,译文:这些通信的语义方面与工程问题不相干。一个重要的方面是那个实际的消息是从一组可能的消息中选出来的。,Unit 1,原文:The system must be designed to operate for each possible selection,not just the one which wil
7、l actually be chosen since this is unknown at the time of design.,译文:系统必须被设计成为每个可能的选择进行运行,而不仅仅是那个实际上将被抽中的,因为这在设计时是未知的。,Unit 1,原文:If the number of messages in the set is finite then this number or any monotonic function of the number can be regarded as a measure of the information produced when one m
8、essage is chosen from the set,all choices being equally like.,译文:如果集合中信息的数量是有限的,那么当一个信息被从所有的选择是等概的集合中抽出时,这个数或这个数的任何单调函数可被认为是信息的量被出示。,Unit 1,原文:As was pointed out by Hartley the most natural choice is the logarithmic function.,译文:如Hartley所指出的,最自然的选择是个对数函数。,Unit 1,原文:Although this definition must be g
9、eneralized considerably when we consider the influence of the statistics of the message and when we have a continuous range of messages,we will in all cases use an essentially logarithmic measure.,译文:尽管当我们考虑到这个消息统计的影响力以及当我们有了连续一套的信息,这个定义必须被广义地概括,不论什么情况下我们将使用一个本质地对数测量。,Unit 1,原文:The logarithmic measu
10、re is more convenient for various reasons:1.It is practically more useful.Parameters of engineering importance such as time,bandwidth,the number of relays,etc.,tend to vary linearly with the logarithm of the number of possibilities.,译文:对数测量更加方便,理由如下:1.对数测量实际上更加有用。工程的重要参数,如时间、带宽、继电器数,等等,趋向于随可能数字的对数线性
11、改变。,Unit 1,原文:For example,adding one relay to a group doubles the number of possible states of the relays.It adds 1 to the base 2 logarithm of this number.Doubling the time roughly squares the number of possible messages,or doubles the logarithm,etc.,译文:例如,加一个继电器到一个组中会使继电器的可能形态的数量翻倍。它加了1到这个以2为底的数的对数
12、。翻倍时间大约是将可能信息的数量平方,或将对数翻倍,等等。,Unit 1,原文:2.It is nearer to our intuitive feeling as to the proper measure.This is closely related to(1)since we intuitively measures entities by linear comparison with common standards.,译文:2.这更接近我们关于合适尺寸的直观感受。这与(1)紧密相关,因为我们用通用标准的线性比较直观地测量实体对象。,Unit 1,原文:One feels,for e
13、xample,that two punched cards should have twice the capacity of one for information storage,and two identical channels twice the capacity of one for transmitting information.,译文:一种感觉,例如,一人感觉两张穿孔卡片应该有两倍的一张卡的信息贮存量,两条相同的通道两倍于一条的传输信息量。,Unit 1,原文:3.It is mathematically more suitable.Many of the limiting
14、operations are simple in terms of the logarithm but would require clumsy restatement in terms of the number of possibilities.,译文:3.它在算数上更合适。许多限制操作就对数而言是简单的但是就可能性的数量而言将需要笨拙的再声明。,Unit 1,原文:The choice of a logarithmic base corresponds to the choice of a unit for measuring information.If the base 2 is u
15、sed,the resulting units may be called binary digits,or more briefly bits,a word suggested by J.W.Tukey.,译文:对数底的选择对应测量信息单位的选择。如果以2为底,产生的单元可以叫二进制数字,或更简要地叫比特,一个由J.W.Tukey建议的词。,Unit 1,原文:A device with two stable positions,such as a relay or a flip-flop circuit,can store one bit of information.N such dev
16、ices can store N bits,since the total number of possible states is 2N and.If the base 10 is used,the units may be called decimal digits.,译文:一个有两个稳定状态的设备,如一个继电器或一个触发电路能储存一比特信息。N个这样的设备能储存N比特信息,因为所有可能形式的数量是2N且。如果以10为底产生的单元可以被称为十进制数字。,Unit 1,原文:Since(1.1),译文:因为(1.1),Unit 1,原文:A decimal digit is about bi
17、ts.A digit wheel on a desk computing machine has ten stable positions and therefore has a storage capacity of one decimal digit.,译文:一个十进制数大约比特。一个台式计算机器的数字轮有十个稳定状态且由此它有一个十进制数的储存容量。,Unit 1,原文:In analytical work where integration and differentiation are involved the base e is sometimes useful.The resul
18、ting units of information will be called natural units.Change from the base a to base b merely requires multiplication by.,译文:以e为底在涉及积分微分的分析工作时有时是有用的。信息单元的结果将被命名为自然单元。从以a为底变到以b为底仅仅只要乘以。,message,message,Noisesource,receiver,transmitter,Receiversignal,signal,Figure 1.1 Schematic diagram of a general c
19、ommunication system,Unit 1,原文:By a communication system we will mean a system of the type indicated schematically in Figure 1.1.It is consists of essentially five parts:,译文:我们用示意图图1.1表明类型的系统说明通信系统。它包含了5重要的部分:,Unit 1,原文:1.An information source which produces a message or sequence of messages to be co
20、mmunicated to the receiving terminal.The message may be of various types.,译文:1.一个信息来源,产生一个被送至接收端的消息或消息序列。这个消息可能有各种类型。,Unit 1,原文:(a)A sequence of letters as in a telegraph of teletype system;(b)A single function of time f(t)as in radio or telephony;,译文:(a)在一个电报系统的电报的一个字母序列如;(b)在收音机或电话中的一个单一时间函数f(t);,
21、Unit 1,原文:(c)A function of time and other variables as in black and white televisionhere the message may be thought of as a function f(x,y,t)of two space coordinates and time,the light intensity at point(x,y)and time t on a pickup tube plate;,译文:(c)一个时间函数和在黑白电视机的其他变量这里信息可能被认为一个两个空间坐标和时间的函数f(x,y,t),在
22、点(x,y)的光强度和在一个摄像管的板子上的时间t;,Unit 1,原文:(d)Two or more functions of time,say f(t),g(t),h(t)this is the case in three dimensional sound transmission or if the system is intended to service several individual channels in multiplex;,译文:(d)两个或更多的时间函数,像f(t)、g(t)、h(t)这是三维音频传输的形式或如果系统想维护多路复用系统中的几条单独信道;,Unit 1
23、,原文:(e)Several functions of several variablesin color television the message consists of three functions f(x,y,t),g(x,y,t)and h(x,y,t)defined in a three-dimensional continuum,译文:(e)几个多变量的函数在彩色电视机中,信息包含在一个三位连续统中定义的三个函数f(x,y,t)、g(x,y,t)和h(x,y,t),Unit 1,原文:we may also think of these three functions as
24、components of a vector field defined in the regionsimilarly,several black and white television sources would produce messages consisting of a number of functions of three variables;,译文:我们或许还认为这三个函数作为一个域内定义的矢量场的成分相似的,几台黑白电视机信息来源将产生包含许多三变量的函数的信息;,Unit 1,原文:(f)Various combinations also occur,for exampl
25、e,in television with an associated audio channel.,译文:(f)许多组合同样出现,例如,电视中有关联的音频信道。,Unit 1,原文:2.A transmitter which operates on the message in some way to produce a signal suitable for transmission over the channel.In telephony this operation consists merely of changing sound pressure into a proportion
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