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信息理论基础-(英文版)

信息理论基础-(英文版)

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作者：陈杰[等]编著

出版社：北京航空航天大学出版社

本类榜单：教材

分类：教材 > 研究生/本科/专科教材 > 工学

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ISBN：9787512419728
装帧：暂无
册数：暂无
重量：暂无
开本：16开
页数：153
出版时间：2016-01-01
条形码：9787512419728 ; 978-7-5124-1972-8

内容简介

　　Thisbooksystematicallyintroducedthefundamentalsofinformationtheory,focusingonthebasicmodelofcommunicationsystems．Itconsistsof11Chapters,includingtwoparts,namely,basicconceptionsofinforＧmationtheoryandrelatedapplicationsofinformationtheory．Thefirstpartcontainsstatisticalmeasureofinformation,discretesource,losslesssourcecodinganddatacompression,discretechannelanditscapacity,channelcoding,whilethesecondpartincludesratedistortion,continuoussource,continuouschannelanditscapacity,maximumentropyandspectrumestimationaswellascomputersimulationexperimentsrelevanttoinformationtheory．　　Thisbooksummarizedtheexperienceoftheauthorsonteachinginformationcoursein EnglishandChinese,togetherwiththeirunderstandingsfromyearsscientificresearchpractice．Itcanbeusedasteachingmaterialoninformationtheorycourseforbothinternationalundergraduateandgraduatestudents．

目录

Chapter1　Introduction ………………………………………………………………………… 1

1．1　Conceptofinformation ………………………………………………………………… 1

1．2　Historyofinformationtheory ………………………………………………………… 2

1．3　Information,messagesandsignals …………………………………………………… 3

1．4　Communicationsystem model ………………………………………………………… 3

1．5　Informationtheoryapplications ……………………………………………………… 4

1．5．1　Electricalengineering(communicationtheory)………………………………… 4

1．5．2　Computerscience(algorithmiccomplexity) …………………………………… 5

Exercises ……………………………………………………………………………………… 5

Chapter2　StatisticalMeasureofInformation ………………………………………………… 6

2．1　Informationofrandomevents ………………………………………………………… 6

2．1．1　SelfＧinformation …………………………………………………………………… 6

2．1．2　ConditionalselfＧinformation ……………………………………………………… 6

2．1．3　Mutualinformationofevents …………………………………………………… 7

2．2　Informationofdiscreterandomvariables …………………………………………… 8

2．2．1　Entropyofdiscreterandomvariables …………………………………………… 8

2．2．2　Jointentropy……………………………………………………………………… 11

2．2．3　Conditionalentropy ……………………………………………………………… 11

2．2．4　Mutualinformationofdiscreterandomvariables …………………………… 11

2．3　Relationshipbetweenentropyandmutualinformation …………………………… 11

2．4　Mutualinformationandentropyofcontinuousrandomvariables………………… 12

2．4．1　Mutualinformationofcontinuousrandomvariables ………………………… 12

2．4．2　Entropyofcontinuousrandomvariables ……………………………………… 13

Exercises ……………………………………………………………………………………… 14

Chapter3　DiscreteSourceandItsEntropyRate …………………………………………… 15

3．1　Mathematicalmodelofsource ……………………………………………………… 15

3．1．1　Discretesourceandcontinuoussource ………………………………………… 16

3．1．2　Simplediscretesourceanditsextension ……………………………………… 17

3．1．3　Memorylesssourceandsourcewithmemory ………………………………… 18

3．2　Discretememorylesssource ………………………………………………………… 18

3．2．1　Definition ………………………………………………………………………… 18

3．2．2　Extensionofdiscretesource …………………………………………………… 19

3．3　Discretestationarysource …………………………………………………………… 20

3．3．1　Definition ………………………………………………………………………… 20

3．3．2　Entropyrateofdiscretestationarysource …………………………………… 21

3．4　DiscreteMarkovsource ……………………………………………………………… 24

3．4．1　Markovchain …………………………………………………………………… 24

3．4．2　Transitionprobability …………………………………………………………… 25

3．4．3　Markovsourceanditsentropyrate …………………………………………… 28

Exercises ……………………………………………………………………………………… 31

Chapter4　LosslessSourceCodingandDataCompression ………………………………… 33

4．1　Asymptoticequipartitionpropertyandtypicalsequences ………………………… 33

4．2　Losslesssourcecoding ……………………………………………………………… 34

4．2．1　Encoder …………………………………………………………………………… 34

4．2．2　Blockcode ………………………………………………………………………… 35

4．2．3　Fixedlengthcode………………………………………………………………… 36

4．2．4　Variablelengthcode …………………………………………………………… 42

4．3　Datacompression ……………………………………………………………………… 48

4．3．1　Shannoncoding ………………………………………………………………… 49

4．3．2　Huffmancoding ………………………………………………………………… 50

4．3．3　Fanocoding ……………………………………………………………………… 52

Exercises ……………………………………………………………………………………… 52

Chapter5　DiscreteChannelandItsCapacity ……………………………………………… 54

5．1　Mathematicalmodelofchannel ……………………………………………………… 54

5．2　Discretememorylesschannel ………………………………………………………… 55

5．2．1　Mathematicalmodelofdiscretememorylesschannel ………………………… 55

5．2．2　SimpleDMC ……………………………………………………………………… 56

5．2．3　Extensionofdiscretememorylesschannel …………………………………… 60

5．3　Channelcombination ………………………………………………………………… 65

5．4　Channelcapacity ……………………………………………………………………… 70

5．4．1　Conceptofchannelcapacity …………………………………………………… 70

5．4．2　Channelcapacityofseveralspecialdiscretechannels ………………………… 71

5．4．3　Channelcapacityofsymmetricchannels ……………………………………… 73

5．4．4　ChannelcapacityofextendedDMC …………………………………………… 75

5．4．5　ChannelcapacityofindependentparallelDMC ……………………………… 76

5．4．6　Channelcapacityofthesumchannel…………………………………………… 77

5．4．7　Channelcapacityofgeneraldiscretechannels ………………………………… 78

Exercises ……………………………………………………………………………………… 79

Chapter6　NoisyＧchannelCoding ……………………………………………………………… 81

6．1　Probabilityoferror …………………………………………………………………… 81

6．2　Decodingrules ………………………………………………………………………… 83

6．3　Channelcoding ………………………………………………………………………… 84

6．3．1　Simplerepetitioncode …………………………………………………………… 84

6．3．2　Linearcode ……………………………………………………………………… 87

6．4　NoisyＧchannelcodingtheorem ……………………………………………………… 91

Exercises ……………………………………………………………………………………… 91

Chapter7　RateDistortion …………………………………………………………………… 93

7．1　Quantization …………………………………………………………………………… 93

7．2　Distortiondefinition…………………………………………………………………… 94

7．2．1　Distortionfunction ……………………………………………………………… 94

7．2．2　MeanＧdistortion ………………………………………………………………… 95

7．3　Ratedistortionfunction ……………………………………………………………… 97

7．3．1　Fidelitycriterionforgivenchannel …………………………………………… 97

7．3．2　Definitionofratedistortionfunction…………………………………………… 98

7．3．3　Propertyofratedistortionfunction …………………………………………… 98

7．4　Ratedistortiontheoremandtheconverse ………………………………………… 101

7．5　Thecalculationofratedistortionfunction ………………………………………… 103

Exercises …………………………………………………………………………………… 105

Chapter8　ContinuousSourceandItsEntropyRate ……………………………………… 107

8．1　Continuoussource …………………………………………………………………… 107

8．2　Entropyofcontinuoussource ……………………………………………………… 107

8．3　Maximumentropyofcontinuoussource…………………………………………… 109

8．4　Jointentropy,conditionalentropyandmutualinformationforcontinuous

randomvariables …………………………………………………………………… 109

8．5　Entropyrateofcontinuoussource ………………………………………………… 111

8．6　Ratedistortionforcontinuoussource ……………………………………………… 114

Exercises …………………………………………………………………………………… 117

Chapter9　ContinuousChannelandItsCapacity …………………………………………… 119

9．1　Capacityofcontinuouschannel …………………………………………………… 119

9．1．1　CapacityofdiscreteＧtimechannel……………………………………………… 119

9．1．2　CapacityofcontinuousＧtimechannel ………………………………………… 120

9．2　TheGaussianchannel ……………………………………………………………… 121

9．3　BandＧlimitedchannels ……………………………………………………………… 122

9．4　Codingtheoremforcontinuouschannel …………………………………………… 123

Exercises …………………………………………………………………………………… 124

Chapter10　MaximumEntropyandSpectrumEstimation ………………………………… 125

10．1　Maximumentropyprobabilitydistribution ……………………………………… 125

10．1．1　Maximumentropydistribution ……………………………………………… 125

10．1．2　Examples ……………………………………………………………………… 126

10．2　Maximumentropyspectrumestimation ………………………………………… 127

10．2．1　Burgsmaxentropytheorem ………………………………………………… 127

10．2．2　Maximumentropyspectrumestimation …………………………………… 130

Exercises …………………………………………………………………………………… 137

Chapter11　ExperimentsofInformationTheory …………………………………………… 138

11．1　Measureofinformation …………………………………………………………… 138

11．1．1　Informationcalculator ………………………………………………………… 138

11．1．2　Propertiesofentropy ………………………………………………………… 139

11．2　SimulationofMarkovsource ……………………………………………………… 140

11．3　Performancesimulationforsourcecoding ……………………………………… 141

11．3．1　Shannoncoding ……………………………………………………………… 142

11．3．2　Huffmancoding ……………………………………………………………… 143

11．3．3　Fanocoding …………………………………………………………………… 144

11．4　SimulationofBSC ………………………………………………………………… 144

11．5　Simulationofthecascadechannel ………………………………………………… 145

11．6　Calculationofchannelcapacity …………………………………………………… 148

11．7　Decodingrules ……………………………………………………………………… 149

11．8　Performancedemonstrationofchannelcoding…………………………………… 150

References ……………………………………………………………………………………… 152

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信息理论基础-(英文版)

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