Tessellations in Wireless Communication Networks: Voronoi and Beyond it
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35
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Tessellations in Wireless Communication Networks: Voronoi and Beyond it Franc¸ois Baccelli, Bartek B?aszczyszyn The World a Jigsaw: Tessellations in the Sciences Lorentz Center, Leiden University, 6–10 March 2006 INRIA-ENS / University of Wroc?aw OUTLINE I Introduction to Wireless Communication, Tessellations in Wireless Communication Networks: Voronoi and Beyond it F. Baccelli, B. B?aszczyszyn ; The World a Jigsaw: TIS, Lorentz Center, Leiden University, March 6–10, 2006 2 OUTLINE I Introduction to Wireless Communication, II Basic geometric models: Voronoi, Boolean, ..., Tessellations in Wireless Communication Networks: Voronoi and Beyond it F. Baccelli, B. B?aszczyszyn ; The World a Jigsaw: TIS, Lorentz Center, Leiden University, March 6–10, 2006 2-a OUTLINE I Introduction to Wireless Communication, II Basic geometric models: Voronoi, Boolean, ..., III Signal-to-Interference-and-Noise ratio (SINR) coverage model: In between Voronoi and Boolean. Tessellations in Wireless Communication Networks: Voronoi and Beyond it F. Baccelli, B. B?aszczyszyn ; The World a Jigsaw: TIS, Lorentz Center, Leiden University, March 6–10, 2006 2-b
Voir
- frequency division multiple
- cause interference
- all users
- access
- reception ?
- emitter sends
- multiple access
- networks
Tessellations in Wireless Communication Networks: Voronoi and Beyond it
Franc¸ ois Baccelli, Bartek Baszczyszyn
The World a Jigsaw: Tessellations in the Sciences
Lorentz Center, Leiden University, 610 March 2006
INRIA-ENS/UniversityofWrocaw
OUTLINE
IIntroduction to Wireless Communication,
IIBasic geometric models:Voronoi, Boolean, ...,
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2-a
OUTLINE
IIntroduction to Wireless Communication,
TF.esBsaellaetliloi,nBs.inBWireless Communication Networks: Voronoi and Beyond it The Wccorld a Jigsaaswz:cTzIySs,zLyon;rentz Center, Leiden University, March 610, 2006
OUTLINE
IIntroduction to Wireless Communication,
IIBasic geometric models:Voronoi, Boolean, ...,
IIISignal-to-Interference-and-Noise ratio (SINR) coverage model:
In between Voronoi and Boolean.
FT.esBsaecllcaetliloi,nBs.inBWairsezlcezsysszCyon;mmunication NetwornksU:niVvoerrosintoy,i aMnadrcBhe6yon1d0,it2006 The World a Jigsaw: TIS, Lorentz Center, Leide
2
2-b
OUTLINE
IIntroduction to Wireless Communication,
IIBasic geometric models:Voronoi, Boolean, ...,
IIISignal-to-Interference-and-Noise ratio (SINR) coverage model:
In between Voronoi and Boolean.
IVPower control in CDMA:Evaluating capacity of some Voronoi architecture.
ccelli, B. Baszcz FTT.ehBsesaeWlloartilodnasJin WirelesysszCyon;mmuzniCceatnitoenr,NLeetidweornksU:niVvoerrosintoy,i aMnadrcBhe6yon1d0,it2006 igsaw: TIS, Lorent
WIRELESS COMMUNICATION... Physical layer
•Emitter sends informationemitting powerPe.
emitter
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receiver
2-c
4
I INTRODUCTION TO WIRELESS COMMUNICATION •Physical layer, •Multiple access, •Network layer.
TTehseseWlloaertlilloid,naBs.JiinBgsWaairswez:lceTzsIysSs,zCLyoon;rmemntuzniCceatnitoenr,NLeetidweornksU:niVvoerrosintoy,i aMnadrcBhe6yon1d0,it2006 F. Bacc
WIRELESS COMMUNICATION... Physical layer •Emitter sends informationemitting powerPe. •Transmission distanceasteuaenttthe power;Pr=Pe×l(idtsnace).
emitter
Tessellations in Wireless Communication Networks: Voronoi a ond it FT.hBeacWcoerlllid,aB.JiBgsaaswz:cTzIySs,zLyon;rentz Center, Leiden University, MnadrcBhe6y10, 2006
receiver
3
4-a
WIRELESS COMMUNICATION... Physical layer •Emitter sends informationemitting powerPe. •Transmission distancenuatattesethe power;Pr=Pe×l(enctaisd). •Emitted powers causeetnirefrecneat all receivers; I=PiPeil(idtsnaeci).mittere
TF.eBssellations in WirelessszCommunication Networks: Voronoi and Beyond it TheaWccoerllldi,aB.JiBgsaaws:zcTzIyS, Lyon;rentz Center, Leiden University, March 610, 2006
receiver
4-b
WIRELESS COMMUNICATION... Physical layer •Emitter sends informationemitting powerPe. •Transmission distancettaaunestethe power;Pr=Pe×l(naecidts). •Emitted powers causeecnerefretniat all receivers; I=PiPeil(distancei).ttimree •Reception possible is if theSignalerivceer to Interference (and NoiseN) Ratio (SINR) at the receiver is large enough; SINR=Pr(N+I)>leorhhstdT. •Tis related to thebitrate(amount of information transmitted per unit time); it depends oncodingused, exist information-theoretic bounds (Shannon theorem).
onoi and B ond it TFT.ehBsesaeWclcloaertllildio,naBs.JiiBngsWaaiwsr:ezlceTzIsySs,CLyoo;rmenmtuzniCceantitoenr,NLeeitdweonrkUs:niVvoerrsity, Marche6y10, 2006 sz n
4-d
WIRELESS COMMUNICATION... Physical layer •Emitter sends informationemitting powerPe. •Transmission distanceneauetsttathe power;Pr=Pe×l(distance). •Emitted powers causentifeerencreat all receivers; I=PiPeil(atcndsiei).rettmie •Reception possible is if theSignal to Interference (and NoiseN) Ratio (SINR) at the receiver is large enough; SINR=Pr(N+I)>olshrethdT.
TF.esBsaecllcaetions in Wireless Co;mmunication Networks: Voronoi and Beyond it lli, B. Baszczysz The World a Jigsaw: TIS, Lyon 2006rentz Center, Leiden University, March 610,
WIRELESS COMMUNICATION... Multiple access
receiver
4-c
In case of simultaneous communications, how to distinguish who is talking to whom? Letsseparatecommunications. This will also reduce the interference.Three ways of separation:
Tessellations in Wireless Communication Networks: Voronoi and Beyond it TF.hBeaWccoerllldi,aB.JiBgsaaswz:cTzIySs,zLyon;rentz Center, Leiden University, March 610, 2006
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