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1、RaymondW.YeungInformationTheoryandNetworkCodingSPINSpringer'sinternalprojectnumber,ifknownMay31,2008SpringerTomyparentsandmyfamilyPrefaceThisbookisanevolutionfrommybookAFirstCourseinInformationTheorypublishedin2002whennetworkcodingwasstillatitsinfancy.Thelastfewyearshavewi
2、tnessedtherapiddevelopmentofnetworkcodingintoaresearch eldofitsownininformationscience.Withitsrootininformationtheory,networkcodingnotonlyhasbroughtaboutaparadigmshiftinnetworkcom-municationsatlarge,butalsohashadsigni cantin
uenceonsuchspeci cresearch eldsascodingtheory,ne
3、tworking,switching,wirelesscommunica-tions,distributeddatastorage,cryptography,andoptimizationtheory.Whilenewapplicationsofnetworkcodingkeepemerging,thefundamentalresultsthatlaythefoundationofthesubjectaremoreorlessmature.Oneofthemaingoalsofthisbookthereforeistopresentthes
4、eresultsinaunifyingandcoherentmanner.Whilethepreviousbookfocusedonlyoninformationtheoryfordiscreterandomvariables,thecurrentbookcontainstwonewchaptersoninformationtheoryforcontinuousrandomvariables,namelythechapterondi erentialentropyandthechapteroncontinuous-valuedchannel
5、s.Withthesetopicsincluded,thebookbecomesmorecomprehensiveandismoresuitabletobeusedasatextbookforacourseinanelectricalengineeringdepartment.WhatisinthisbookOutofthetwenty-onechaptersinthisbook,the rstsixteenchaptersbelongtoPartI,ComponentsofInformationTheory,andthelast vech
6、aptersbelongtoPartII,FundamentalsofNetworkCoding.PartIcoversthebasictopicsininformationtheoryandpreparethereaderforthediscussionsinPartII.Abriefrundownofthechapterswillgiveabetterideaofwhatisinthisbook.Chapter1containsahighlevelintroductiontothecontentsofthisbook.First,the
7、reisadiscussiononthenatureofinformationtheoryandthemainresultsinShannon'soriginalpaperin1948whichfoundedthe eld.TherearealsopointerstoShannon'sbiographiesandhisworks.VIIIPrefaceChapter2introducesShannon'sinformationmeasuresfordiscreterandomvariablesandtheirbasicproperties.
8、Usefulidentitiesandinequalitiesinin-formationtheoryarederivedandexplained.Extracareistake
