Information Theory & Coding信息論與編碼

內(nèi)容概要

本書重點(diǎn)介紹經(jīng)典信息論的基本理論，并力圖將信息論的基本理論和工程應(yīng)用的編碼理論聯(lián)系起來，介紹一些關(guān)于這些理論的實(shí)際應(yīng)用。全書分為7章，內(nèi)容包括信息度量的基本理論、無失真信源編碼、限失真信源編碼、信道編碼及其應(yīng)用等?！　”緯⒅鼗靖拍?，并且用通俗易懂的語言對(duì)它們加以詮釋。在當(dāng)前信息、通信系統(tǒng)飛速發(fā)展的大背景下，本書力圖用較多的例子和圖表來闡述概念和理論，同時(shí)盡量避免糾纏于煩瑣難懂的公式證明之中。為了加深讀者對(duì)所講述知識(shí)的理解，每章最后都配有適量的練習(xí)。題供讀者選用?！　”緯勺鳛楦叩仍盒ｋ娮有畔㈩悓W(xué)生雙語教學(xué)的教材或參考書，也可作為通信、電信、電子等領(lǐng)域從業(yè)人員的參考資料。

作者簡(jiǎn)介

　　梁建武，中南大學(xué)教師。合編著有《網(wǎng)頁制作與設(shè)計(jì)實(shí)訓(xùn)》等。

書籍目錄

Chapter 1  Introduction     Contents     Before it starts, there is something must be known　1.1  What is Information　1.2  What’s Information Theory？　　1.2.1  Origin and Development of Information Theory　　1.2.2  The application and achievement of Information Theory methods　1.3  Formation and Development of Information Theory　Questions and Exercises　Biography of Claude Elwood ShannonChapter 2  Basic Concepts of Information Theory　Contents　Preparation knowledge　2.1  Self-information and conditional self-information　　2.1.1  Self-Information　　2.1.2  Conditional Self-Information　2.2  Mutual information and conditional mutual information　2.3  Source entropy　　2.3.1  Introduction of entropy　　2.3.2  Mathematics description of source entropy　　2.3.3  Conditional entropy　　2.3.4  Union entropy （Communal entropy）　　2.3.5  Basic nature and theorem of source entropy　2.4  Average mutual information　　2.4.1  Definition　　2.4.2  Physics significance of average mutual information　　2.4.3  Properties of average mutual information　2.5  Continuous source　　2.5.1  Entropy of the continuous source （also called differential entropy）　　2.5.2  Mutual information of the continuous random variable　Questions and Exercises　Additional reading materialsChapter 3  Discrete Source Information　Contents　3.1  Mathematical model and classification of the source　3.2  The discrete source without memory　3.3  Multi-marks discrete steady source　3.4  Source entropy of discrete　　4.2.4  Relationship between entropy, channel doubt degree and mutual information　4.3  The discrete channel without memory and its channel capacity　4.4  Channel capacity　　4.4.1  Concept of channel capacity　　4.4.2  Discrete channel without memory and its channel capacity　　4.4.3  Continuous channel and its channel capacity Chapter 5 kossless source coding　Contents　5.1  Lossless coder　5.2  Lossless source coding　　5.2.1  Fixed length coding theorem　　5.2.2  Unfixed length source coding　5.3  Lossless source coding theorems　　5.3.1  Classification of code and main coding method　　5.3.2  Kraft theorem　　5.3.3  Lossless unfixed source coding theorem （Shannon First theorem）　5.4  Pragmatic examples of lossless source coding　　5.4.1  Huffman coding　　5.4.2  Shannon coding and Fano coding　5.5  The Lempel-ziv algorithm　5.6  Run-Length Encoding and the PCX format　Questions and ExercisesChapter 6  Limited distortion source coding　Contents　6.1  The start point of limit distortion theory　6.2  Distortion measurement　　6.2.1  Distortion function　　6.2.2  Average distortion　6.3  Information rate distortion function　6.4  Property of R（D）　　6.4.1  Minimum of D and R（D）　　6.4.2  Dmax and R（Dmax）　　6.4.3  The under convex function of R（D）　　6.4.4 　Questions and exercisesBibliography

章節(jié)摘錄

　　Before it starts， there is something must be known　　First， the main content will show those： how to measure the information， this question can be answered after the way of Shannon measures information is understood. As a student of communication engineering， the concepts such as information source and channel， have been contracted with before. The distortionless way of coding for source and channel are included in the Shannons first theorem， Shannons second theorem and third theorem which will be shown later. In addition， many examples for the applications of Information Theory will be involved in the course of this study.　　Second， the importance of studying the Information Theory also needs to be emphasized. The Information Theory is the elementary theory of Information Science and Technology. Without the foundation of Information Theory， one cannot be engaged in the communication domain research and innovation， nor can he touch the edge of this field. In brief， the Information Theory is the essential elementary knowledge to master for one who has high level information technology.　　The course of Fundamental Information Theory is the foundation curriculum for communication and the information field. Only when it is mastered， can it learn the succeeding curriculum and occupy in the scientific research and the innovation in the information field. So， cherish this study opportunity， study hard to raise the scientific research abilities gradually and set up the consummated personality foundation， thus to lay solid foundation for further study and scientific research.

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