Stochastic geometry for wireless networks:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York ; Melbourne ; Madrid ; Cape Town ; Singapore ; São Paulo ; Delhi ; Mexico City
Cambridge University Press
2013
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xv, 284 Seiten Illustrationen, Diagramme |
| ISBN: | 9781107014695 1107014697 |
Internformat
MARC
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| 245 | 1 | 0 | |a Stochastic geometry for wireless networks |c Martin Haenggi, University of Notre Dame, Indiana |
| 264 | 1 | |a Cambridge ; New York ; Melbourne ; Madrid ; Cape Town ; Singapore ; São Paulo ; Delhi ; Mexico City |b Cambridge University Press |c 2013 | |
| 300 | |a xv, 284 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
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| 653 | |a Computer networks--Mathematics. | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-027264861 | ||
Datensatz im Suchindex
| _version_ | 1804152149682159616 |
|---|---|
| adam_text | CONTENTS
PREFACE
PAGE
XI
NOTATION
XIII
PART
I
POINT
PROCESS
THEORY
1
1
INTRODUCTION
3
1.1
WHAT
ISSTOCHASTIC
GEOMETRY?
3
1.2
POINT
PROCESSES
ASSPATIAL
MODELS
FORWIRELESS
NETWORKS
3
1.3
ASYMPTOTIC
NOTATION
5
1.4
SETS
AND
MEASURABILITY
6
PROBLEMS
7
2
DESCRIPTION
OF
POINT
PROCESSES
9
2.1
DESCRIPTION
OFONE-DIMENSIONAL
POINT
PROCESSES
9
2.2
POINT
PROCESS
DUALITY
10
2.3
DESCRIPTION
OFGENERAL
POINT
PROCESSES
11
2.4
BASIC
POINT
PROCESSES
15
2.5
DISTRIBUTIONAL
CHARACTERIZATION
24
2.6
PROPERTIES
OFPOINT
PROCESSES
31
2.7
POINT
PROCESS
TRANSFORMATIONS
35
2.8
DISTANCES
38
2.9
APPLICATIONS
40
BIBLIOGRAPHICAL
NOTES
43
PROBLEMS
44
3
POINT
PROCESS
MODELS
47
3.1
INTRODUCTION
47
3.2
GENERAL
FINITE
POINT
PROCESSES
47
3.3
COX
PROCESSES
50
3.4
CLUSTER
PROCESSES
53
3.5
HARD-CORE
PROCESSES
57
3.6
GIBBS
PROCESSES
60
3.7
SHOT-NOISE
RANDOM
FIELDS
72
VIII
CONTENTS
4
5
6
7
8
BIBLIOGRAPHICAL
NOTES
PROBLEMS
73
74
SUMS
AND
PRODUCTS
OVER
POINT
PROCESSES
4.1
INTRODUCTION
4.2
THE
MEAN
OFASUM
4.3
THE
PROBABILITY
GENERATING
FUNCTIONAL
4.4
THE
LAPLACE
FUNCTIONAL
77
77
78
79
82
4.5
THE
MOMENT-GENERATING
FUNCTION
OFSUMSOVERPOISSON
PROCESSES
83
4.6
THE
PROBABILITY
GENERATING
AND
LAPLACE
FUNCTIONALS
FOR
THE
POISSON
POINT
PROCESS
4.7
SUMMARY
OFRELATIONSHIPS
4.8
FUNCTIONALS
OFOTHER
POINT
PROCESSES
BIBLIOGRAPHICAL
NOTES
PROBLEMS
86
87
88
92
92
INTERFERENCE
AND
OUTAGE
IN
WIRELESS
NETWORKS
5.1
INTERFERENCE
CHARACTERIZATION
5.2
OUTAGE
PROBABILITY
INPOISSON
NETWORKS
5.3
SPATIAL
THROUGHPUT
INPOISSON
BIPOLAR
NETWORKS
5.4
TRANSMISSION
CAPACITY
5.5
TEMPORAL
CORRELATION
OFTHE
INTERFERENCE
5.6
TEMPORAL
CORRELATION
OFOUTAGE
PROBABILITIES
BIBLIOGRAPHICAL
NOTES
PROBLEMS
93
93
104
105
107
111
115
116
117
MOMENT
MEASURES
OF
POINT
PROCESSES
6.1
INTRODUCTION
6.2
THE
FIRST-ORDER
MOMENT
MEASURE
6.3
SECONDMOMENT
MEASURES
6.4
SECOND
MOMENT
DENSITY
6.5
SECOND
MOMENTS
FORSTATIONARY
PROCESSES
BIBLIOGRAPHICAL
NOTES
PROBLEMS
119
119
119
120
124
129
136
136
MARKED
POINT
PROCESSES
7.1
INTRODUCTION
AND
DEFINITION
7.2
THEORY
OFMARKED
POINT
PROCESSES
7.3
APPLICATIONS
BIBLIOGRAPHICAL
NOTES
PROBLEMS
138
138
143
148
150
150
CONDITIONING
AND
PALM
THEORY
8.1
INTRODUCTION
8.2
THE
PALM
DISTRIBUTION
FORSTATIONARY
PROCESSES
152
152
157
CONTENTS
IX
8.3 THE
PALM
DISTRIBUTION
FORGENERAL
POINT
PROCESSES
160
8.4
THE
REDUCED
PALM
DISTRIBUTION
164
8.5
PALM
DISTRIBUTION
FORPOISSON
PROCESSES
AND
SLIVNYAK S
THEOREM
168
8.6
SECOND
MOMENTS
AND
PALM
DISTRIBUTIONS
FORSTATIONARY
PROCESSES
170
8.7
PALM
DISTRIBUTIONS
FORNEYMAN-SCOTT
CLUSTER
PROCESSES
8.8
PALM
DISTRIBUTION
FORMARKED
POINT
PROCESSES
8.9
APPLICATIONS
BIBLIOGRAPHICAL
NOTES
PROBLEMS
171
172
173
175
175
PART
II
PERCOLATION,
CONNECTIVITY,
AND
COVERAGE
177
9
INTRODUCTION
179
9.1
MOTIVATION
179
9.2
WHAT
ISPERCOLATION?
179
10
BONDANDSITEPERCOLATION
181
10.1
RANDOM
TREES
AND
BRANCHING
PROCESSES
181
10.2
PRELIMINARIES
FORBOND
PERCOLATION
ONTHE
LATTICE
190
10.3
GENERAL
BEHAVIOR
OFTHE
PERCOLATION
PROBABILITY
191
10.4
BASIC
TECHNIQUES
198
10.5
CRITICAL
THRESHOLD
FORBOND
PERCOLATION
ONTHE
SQUARE
LATTICE
205
10.6
FURTHER
RESULTS
INBOND
PERCOLATION
213
10.7
SITEPERCOLATION
215
BIBLIOGRAPHICAL
NOTES
218
PROBLEMS
218
11
RANDOMGEOMETRICGRAPHSANDCONTINUUMPERCOLATION
221
11.1
INTRODUCTION
221
11.2
PERCOLATION
ONGILBERT S
DISKGRAPH
11.3
OTHER
PERCOLATION
MODELS
11.4
APPLICATIONS
BIBLIOGRAPHICAL
NOTES
PROBLEMS
223
229
233
244
244
12
CONNECTIVITY
12.1
INTRODUCTION
12.2
CONNECTIVITY
OFTHE
RANDOM
LATTICE
12.3
CONNECTIVITY
OFTHE
DISKGRAPH
12.4
CONNECTIVITY
OFBASIC
RANDOM
GEOMETRIC
GRAPHS
12.5
OTHER
GRAPHS
BIBLIOGRAPHICAL
NOTES
PROBLEMS
246
246
246
249
251
251
253
253
X
CONTENTS
13
COVERAGE
13.1
INTRODUCTION
13.2
GERM-GRAIN
AND
BOOLEAN
MODELS
13.3
BOOLEAN
MODEL
WITH
FIXEDDISKS
13.4
APPLICATIONS
BIBLIOGRAPHICAL
NOTES
PROBLEMS
255
255
255
259
263
270
270
APPENDIX
INTRODUCTION
TOR
REFERENCES
INDEX
272
275
281
|
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| illustrated | Illustrated |
| indexdate | 2024-07-10T01:06:08Z |
| institution | BVB |
| isbn | 9781107014695 1107014697 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027264861 |
| oclc_num | 846891323 |
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| owner | DE-11 DE-20 DE-29T DE-706 |
| owner_facet | DE-11 DE-20 DE-29T DE-706 |
| physical | xv, 284 Seiten Illustrationen, Diagramme |
| publishDate | 2013 |
| publishDateSearch | 2013 |
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| publisher | Cambridge University Press |
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| spelling | Hänggi, Martin 1969- Verfasser (DE-588)121594513 aut Stochastic geometry for wireless networks Martin Haenggi, University of Notre Dame, Indiana Cambridge ; New York ; Melbourne ; Madrid ; Cape Town ; Singapore ; São Paulo ; Delhi ; Mexico City Cambridge University Press 2013 xv, 284 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Funknetz (DE-588)4216130-7 gnd rswk-swf Stochastische Geometrie (DE-588)4133202-7 gnd rswk-swf Computer networks--Mathematics. Stochastic analysis. Stochastische Geometrie (DE-588)4133202-7 s Funknetz (DE-588)4216130-7 s DE-604 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027264861&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hänggi, Martin 1969- Stochastic geometry for wireless networks Funknetz (DE-588)4216130-7 gnd Stochastische Geometrie (DE-588)4133202-7 gnd |
| subject_GND | (DE-588)4216130-7 (DE-588)4133202-7 |
| title | Stochastic geometry for wireless networks |
| title_auth | Stochastic geometry for wireless networks |
| title_exact_search | Stochastic geometry for wireless networks |
| title_full | Stochastic geometry for wireless networks Martin Haenggi, University of Notre Dame, Indiana |
| title_fullStr | Stochastic geometry for wireless networks Martin Haenggi, University of Notre Dame, Indiana |
| title_full_unstemmed | Stochastic geometry for wireless networks Martin Haenggi, University of Notre Dame, Indiana |
| title_short | Stochastic geometry for wireless networks |
| title_sort | stochastic geometry for wireless networks |
| topic | Funknetz (DE-588)4216130-7 gnd Stochastische Geometrie (DE-588)4133202-7 gnd |
| topic_facet | Funknetz Stochastische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027264861&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hanggimartin stochasticgeometryforwirelessnetworks |