Tessellations in Wireless Communication Networks: Voronoi and Beyond it

Description

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

• frequency division multiple


• cause interference


• all users


• access


• reception ?


• emitter sends


• multiple access


• networks

Sujets

• Leiden University
• Access
• Channel access method

Informations

• Publié par: pefav
• Nombre de lectures: 18
• Langue: English
• Poids de l'ouvrage: 2 Mo

Extrait

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, 6–10 March 2006

INRIA-ENS/UniversityofWrocaw

OUTLINE

IIntroduction to Wireless Communication,

IIBasic geometric models:Voronoi, Boolean, ...,

F T T . e h B s e se c W l c l o a e r t l l i li d o , n a B s . J i i n B g  s W a a ir s w e z : l c e T z s I y s sz C y o n; mmunication Networks: Vorono , i a M n a d rc B h e 6 yo – n 1 d 0, it 2006 a S, Lorentz Center, Leiden University

2-a

OUTLINE

IIntroduction to Wireless Communication,

T F. es B s a ella e t l i l o i, n B s . in B Wireless Communication Networks: Voronoi and Beyond it The W cc orld a Jig  sa as w z : c T z I y S s , z L y o n; rentz Center, Leiden University, March 6–10, 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.

F T . es B s a e c ll c a e t l i l o i, n B s . in B W a ir s e z l c e z s y s sz C y o n; mmunication Networ n ks U : ni V v o e r r o si n t o y, i a M n a d rc B h e 6 yo – n 1 d 0, it 2006 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 F T T . e h B s e s a e W ll o a r ti l o d n a s J in Wireles y s sz C y o n; mmu z ni C c e at n i t o e n r, N L e e t id w e or n ks U : ni V v o e r r o si n t o y, i a M n a d rc B h e 6 yo – n 1 d 0, it 2006 igsaw: TIS, Lorent

WIRELESS COMMUNICATION... Physical layer

• Emitter sends informationemitting power P e .

emitter

T F T . e h s B e s a e c W ll c o a e t l i l o i, n B s . in B W a ir s e z l c e z s y s sz C y o n; mmunication Networks: Voronoi and rc B h e 6 yo – n 1 d 0, it 2006 rld a Jigsaw: TIS, Lorentz Center, Leiden University, Ma

receiver

2-c

4

I INTRODUCTION TO WIRELESS COMMUNICATION • Physical layer, • Multiple access, • Network layer.

T T e h s e se W ll o a e r t l i l l o i d , n a B s . J i i n B g  s W a a ir s w e z : l c e T z s I y s S s , z C L y o o n; r m e m nt u z ni C c e at n i t o e n r, N L e e t id w e or n ks U : ni V v o e r r o si n t o y, i a M n a d rc B h e 6 yo – n 1 d 0, it 2006 F. Bacc

WIRELESS COMMUNICATION... Physical layer • Emitter sends informationemitting power P e . • Transmission distanceasteuaenttthe power; P r =P e ×l( idtsnace ) .

emitter

Tessellations in Wireless Communication Networks: Voronoi a ond it F T . h B e ac W c o e r l l li d , a B. Ji B g  sa as w z : c T z I y S s , z L y o n; rentz Center, Leiden University, M n a d rc B h e 6 y –10, 2006

receiver

3

4-a

WIRELESS COMMUNICATION... Physical layer • Emitter sends informationemitting power P e . • Transmission distancenuatattesethe power; P r =P e ×l( enctaisd ) . • Emitted powers causeetnirefrecneat all receivers; I= P i P e i l( idtsnaec i ) . mittere

T F. e B ssellations in Wireless sz Communication Networks: Voronoi and Beyond it The a W cc o e rl ll d i, a B. Ji B gs  a a w s : zc T z I y S, L y o n; rentz Center, Leiden University, March 6–10, 2006

receiver

4-b

WIRELESS COMMUNICATION... Physical layer • Emitter sends informationemitting power P e . • Transmission distancettaaunestethe power; P r =P e ×l( naecidts ) . • Emitted powers causeecnerefretniat all receivers; I= P i P e i l( distance i ) . ttimree • Reception possible is if theSignal erivceer to Interference (and Noise N ) Ratio (SINR) at the receiver is large enough; SINR=P r (N+I)> leorhhstd T . •T is related to thebitrate(amount of information transmitted per unit time); it depends oncodingused, exist information-theoretic bounds (Shannon theorem).

onoi and B ond it T F T . e h B s e s a e W c l c l o a e r t l l i l d i o , n a B s . J i i B n gs  W a a i w s r : e z l c e T z I s y S s , C L y o o ; r m en m t u z ni C c e a n ti t o e n r, N Le e i t d w e o n rk U s: ni V v o e r rsity, March e 6 y –10, 2006 sz n

4-d

WIRELESS COMMUNICATION... Physical layer • Emitter sends informationemitting power P e . • Transmission distanceneauetsttathe power; P r =P e ×l( distance ) . • Emitted powers causentifeerencreat all receivers; I= P i P e i l( atcndsie i ) . rettmie • Reception possible is if theSignal to Interference (and Noise N ) Ratio (SINR) at the receiver is large enough; SINR=P r (N+I)> olshrethd T .

T F. es B s a e c ll c a e tions in Wireless Co ; mmunication Networks: Voronoi and Beyond it lli, B. Baszczysz The World a Jigsaw: TIS, L y o n  2006rentz Center, Leiden University, March 6–10,

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 T F. h B e a W cc o e rl ll d i, a B. Ji B g  sa as w z : c T z I y S s , z L y o n; rentz Center, Leiden University, March 6–10, 2006

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