A distance-aware model of 802.11 MAC layer
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. A distance-aware model of 802.11 MAC layer Chadi Barakat — Gion Reto Cantieni. N° 5038 December 2003. ISSN 0249-6399. ISRN INRIA/RR--5038--FR+ENG. THÈME 1. apport de recherche.
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(114) !#"%$&(')'+*,.-/0 1). WsW. a^ ot¼ceSViacqSVgYze`ÌRzAÎ\Y^|geVrmn^|v(V(tAisoA^vE½gevmþV v(V(oKceV(geVt ^|ccqSV_AYfm4Sia\eV$ge^atHE½`\ Eþ\ÒvwS<^ao sVtqdÃgeisU {cqi-~ Ut< =ÆVÎvisU&r`pceV8cqSpVY\q^|ce`gq^kcE½isoËceSgeis`p sSr`pcid¿isoVIpbÌV(t `ÌRA ^aotÈcqS<^|c$id.isopVËU&i5WEþo K`NRA_<OR.SVcqSg]is` sSpr`pcq\qM(E½ohs¤r\ O ^ag]VÔ\eSpi{4o E½o Eþ[ <MVW < =ÆVu^amþ\]i&rmþi|Fc Eþo cqSV\e^aU&V I< s`g]VuceSVYcqSpgeis` aSr`pcispcq^ E½oV(t Kd ^aNo `ÌzR A E0d cqSbV lnEþ^aovwHS EGU&iÌtVm 4^a\º`\eVZt <CR.SVÎg]V(\]`m½ce\^ag]V WaV(gld E½oKcqV(g]V(\lc E½oH < = SVoÔcqSCV `ÌzR AÎ\ ^ageV¼^am½m8vmþis\]V¼ceiÆcqSp^ V AYf MÃmþV\e\ËceS<^ao kU O 6cqSpVd ^amþmS<c^ WaVAcqSV\q^|UV¼cqSg]is` sSrp`pc ^aot E.c E½\$V ¤`<^amCcqi¼ceSVÔiaoVË E0WaV(o Kd cqSV lnEn^|ovwHS EºUiNtVCm M 4HS EþvwS \]`rrGis\eV\$cqS^|c cx4iËv(ism½rm E½Ht E½o r<^|v saVce\^ag]V ^|`pcqisU^|Yc Eþv(^am½m½dm½is\]c O <n= SVoAcqSpV U&5i WEþo, `ÌR A8\Y^ag]V dE^ag dÃgeisU ceSV AÎf MEU&isg]VceS<^ao zkU O 6 ceSV E½grÐ5i 4ÒV(g$m½7V WaV(m^|cucqSV AYf \]cq^ag]ce\cei¼GjV WsV(gld mþ5i 4IvisU&r<^ag]V(t¼ceiceS<^|ci d cqSVv(m½is\].V `ÌzR AÎ7\ 64\ei&cqSVÏd mþis\]VceSV E½gr<^av saVÏcq\ 4SV(ocqSVÏd v(isoKcqVo,t dÃisgceSVU&V(Ht E½` U 4FEcqSceSVv(m½is\e!V `NR A8\ <CR.SVuv(m½is\e!V `NR A8\. sVc.ceSV(o^-HS E½ sS cqSg]is` sSrp`pcu^aot¼cqSV-U&5i WEþop^ `NR A8\ sVcY^mþ5i 4ÕcqSg]is` sSpr`pcu^arprgei_#b EþU^|ceV(mdâV N`^am cqi ceSVÎ^ao[t 4FE½tpcqSopiac`\]V(tKdcqSV8v(m½is\e\V `NR A8\ <hR.SV l|En^aopvwHS EMU&iNtV(m Eþ\Òoi-m½iso sVg siÌiNqt E½ocqHS E½\.v_^|\eV < =ÆV^am½\ei&oiaYc EþvV EþoceSCV I< s`pgeVÎceSCV dE^a\]ccqSg]is` sSrp`pc.\e[S E0d©ci dceSV U5i WE½o. `NR A8\ÒGVxc 4ÒV(Vo ^|otzYU <2R.HS E½\ºgeV(\]`mcq;\ dÃgeisUáceS>V dE^a\]cÒ^|c]cqVoN`^|c E½isoi dÐceSV rÐ5i 4ÒV(>g 4SV(oA^aN o `ÌzR A U&5i WsV\Yc^ 4^:,d dÃg]isU ceS\V AYzf < R iÉGVc]cqVeg E½mþm½`\lcqgq^kcqV¼ceSVâ^|Ð5i WsVgeV\e`mcq7\ 6>4V¼rmþi|ec E½ o E½H <ºxc 4iÆv(iso[t E½Yc Eþiso^am rgeis^aH E½rm Ec E½V(\ M(E O ceSVÎrg]is<^a[ Eþ0m E½cd&ceS<^|ciaoV8U&5i WEþop `ÌR A mþia\eV(|\ E½ce\r<^|v saVnc 4SV(,o Ec v(isoKcqVot\cei cqSpVYU&V(Ht E½`U 4FE½ceSisoVÎiagU&isgeV IpbÌV(tt `ÌzR AÎ7\ 6<^aot M(E0E O cqSVYrpgeis<^|H Eþ0m Ecd cqS<^|cOisoV IpbÌV(t `ÌzR A m½is\eV\ Ecq\2r^av saVÏc 4SV(wo Ec2visoKcqVot\6ceiÎcqSVÒU&V(Ht E½`U 4FE½ceS-isoVÒisg UiageVU&5i W#E½oe `ÌzR AÎ7\ <|lÒiacqS rg]is<^aH E½0m E½Yc EþV\^ageVV N`^amMcqiW 4SVo^amþBm `ÌR A8\^ageVvmþia\eV cqicqSpwV AYf MÃ\q^aU&V&^a\u^|\e\e`pUVtÆKd¼cqSjV lnEþ^aovw[S E2U&iÌtVm O <-fhgeia<^aH E½rm Eco d M E O g]V(U^ E½o\. V ¤`<^amcei W 4SVoceSVuU&{i WE½o `ÌR A8\Î^|geCV dE^ag dÃg]isU ceS\V AYfLP\ Eþopv(VucqS7V EþgrG{i 4ÒV(gm½7V WaV(m ^|chcqS>V AÎf E½\hmþ5i 4\<iYocqSV.iaceSV(gCS<^|oZt 6Krg]is<^aH E½0m E½ctd M ErE O tg]isr\hcqi{u^|cº^ag]is`otËzÎU 6 4HS EþvwSÆU&V_^ao\ceS<^|c IpbÌV(t `ÌzR AÎ\ ^aXm 4^_dN!\ 4FE½Go 4SV(o cqSVÏdv(iao¤ceV(otÈcqicqSpVU&VHt Eþ`pU 4FE½ceSA^U&5i W#E½oq `ÌR A ^|cU&isg]VcqS<^ao¼z-U dÃg]isU cqSp!V AÎf < =ÆVâo5i 4 v(iaoY\ E½tV(gceSVâge^aotisU cqiarÐism½is ad v(^a\e]V 64SpV(geKV `NR A8\ ^ageV¼`Ho EXdÃisgeU&md Ht Eþ\lcqPg Eþ`ÌcqV(ot E½o ^âHt E½Y\ sÉ]i d8ge^aHt E½`\W:{âU v(VoKcqV(g]V(tL^|c$ceS,V AYzf <=ÆVHr E½v sÉiso,V `ÌR A_6 4VuU&5i Ws\V E½>c dÃg]isU {ceiW:{U&VcqVg 64^aopt 4ÒVuv(isU&r`ÌcqV Ecq\.cqSg]is` sSpr`pcc^ WsVgq^a sVt¼5i WaV(g ^amþmOcqSVrGis\eP\ EþpmþVmþiNv_^kc E½iso\i dºcqSV&iaceSV(g ,t`ÌzR AÎ7\ <.=ÉV^am½\ei visU&r`pcqVceSV5^ WaV(ge^a sV cqSg]is` sSrp`pci d^aoKdÆiacqSpV(jg `ÌzR A+<6R.SVgeV\e`mcq\^ag]VÔ\]S5i 4o E½o o E½H <2}A^aot ^ag]V^am½\ei WsV(glKd EþoKcqVgeV\]c E½oH <= SVoÉcqSVU&5i W#E½oG `NR AEþ\v(m½is\eVcqicqSeV AYf 6 Ec$ aVcq\$^[S Eþ sSpV(g cqSg]is` sSrp`pc¿cqS<^aoucqSpVÒc^ WaV(gq^| sVºceSgeia` sSr`ÌcO]i dÌceSVCiacqSVge\O^aotucqS<^|ouceSVCcqSg]is` sSrp`pc V E0WaV(o KdÉceSqV l|En^aopvwHS EU&iÌtpV(9m Ma E½H <ºW O P\ EþovqV 4FE½ceS ^AHS E½ sS rg]is<^aH E½0m E½cdÈcqSVÔiacqSVg `ÌR A8\^agebV dE^ang dÃgeiaU ceSV AYzf <HQ85i 4Ò7V WaV(g 6<ceHS Eþ\ceSgeia` sSr`ÌctV(vgeV_^|\eV(>\ 4SVoceS\V `ÌzR A ö ö èv.
(115) -;&b P F&&-; v( v. W?. Ui5WaV(\dE^aglcqSVgndÃgeisUxceSVCAYf `oKcE½mZEctg]isr\GV(m½i54 ceSV^cWsVgq^a aVÎcqSg]is` sSpr`pc.idceSV iacqSVge7\ <LR.SVjU Eþ[o EþU `U cqSg]is` sSrp`pcidÎceSV Ui5WE½o `ÌRzA Eþ\^a K^]Eþo ispcq^EþopV(tL^|c ^Ht E½\]cq^aovVËi d.z U <38iaceV&ceS<^|c_ E½ H<¿}^amþ\]i¼\]Si54\ ceSV^5WaV(ge^a sV&cqSg]is` sSrp`pc$i5WaV(g W:{s{s{Ag]V_^a0m E0_^|Yc Eþisop\i d.cqSV ,G`NR A8\ <G=ÉV`p\eVcqSpqV IpbÌV(t cqisrGism½is adÈU&VceSiÌt ce^ i I<ot cqSVcqSg]is` sSrp`pcrGV(gÎg]V_^a0m E0_^|Yc Eþis o 6^aoN t 4Vc^ WaV(gq^| sV-5i WsVg^am½m ceSV-geV(^a0m Er(^|c E½iso7\ <YR.SV r`gerGis\]!V E½\.cqwi W|^a0m Eþt<^kcqVuis`g^ao^am½dNP\ Eþ\ Eþo cqSpVge^aotiaU cqisrGism½is adÔv_^a\]V < * $
(116) Ï$ =ÉVrg]V(\eVoKcqV(t,E½o&cqSHE½\Òr^arÐVgº^aoÔ^|o<^amdNcYEþv(^am4U&iÌtVm<cqS<^|cÒ^avv(is`po¤ce\dÃiagCceSVrÐia\YEcE½iso\ idF`ÌzR AÎ\\ 4SVo7V W|^am½`<^|Yc Eþo cqSV&rGV(g dÃisgeU^aovVÔi d~s{K# <½WseW JNA L mþ^_dsV(7g <R.SVU&iÌtVm S<^a\Ht E0DÐV(g]V(oKcYV¢bNcqV(opY\ E½iso\Yist o 4HS E½vwu S 4V$^ageV 4ÒisYg s E½o ^aotcqS<^kbc 4FE½mþm G_V E½oKcqgeiNt`vV(t Eþo ^^ dÃ`pce`geVÔtVcq^ Eþm½V(t WaV(geP\ EþiaZo <hiYoVÔVÏbNcqVoY\ E½iso v(isopY\ E½tV(g]\Ë^|o AYf cqS<^|c$cqgq^|o\ejU Ecq\ r<^av saVÏcqj\ MÃ\eVwV E½H <>f O 6v4HS E½vwu S 4Òis`m½t ^amþm½5i 4 `\cqei IotAcqSpV$isrpYc EþU^am AÎf rpmn^avV(U&V(oKc dÃisgC^V E0WaV(o&cqisrGism½is ad < <`g]ceSV(ghV¢bNcqV(opY\ E½iso\vis`m½tËvisoP\ EþtVghcqSVZ6R ` # L R `&U&iNtV^a\ 4Vmþm6^a\8ceSV-^at kSiNv U&iNtV ceio¤`U&V(Pg Eþv(^amþmd^|rrgeis^avwSAcqSp_V 4FE½geV(m½V(\]\v_^ar^av EcNd dÃia`ot Eþo S 5z U < .|.
(117) . S WU\8:;:;: `NcqtÉ~s{K#<½WsW7kqW&, , ,[6fO^ag]cËWsW \=Eþg]V(m½V(\]\w?BAC3J¼V(tHE½`U A.v(vV(\]\ L isoKcqg]ism MaJNA L>O ^aot¼fCSKdN\YE½v_^|m?¿^_dsVg.MEf;QFR O \]rÐVvEXI<v_^|cYEþiao\6ÆW&, , ,[< S %U!|< L ^amrE(6]Jg< L isoKcE(6]:F< geV sisgPEdÌo^aUjEþvºRO`poHEþop 8idNcqSpV 8::;:~s{s#<þWaWCfCg]iacqiNv(iam ceiw.A vwSH½E V7sW V^$R.SpV(isg]VcE½v_^|mR.Sgeia` sSr`ÌcF?BEþUjEc
(118) .- * HP [
(119) a % [\% (n% % 6Ciama<<~#6v38iH<4ÈÎVv(V(U ÐVga{a{s{[< S }]U L <HQ_<v< isSZ6HJg< M`H|s V(g]UË^|ofOVgPÃd isg]UË^|ov(V8A o<^amdÌ\PþE \i¿d ceSV8:;:L: ~s{K#½< WsW!JNA L fhg]iacqiNv(ism 5
(120) Y ]Ku v $[")"%$ -|% cc
(121) 66 m½isgeVov(V]6C²8 cw^amd rprZ< W_~f]wk W ,s{[6 < V(pge`<^aglda{s{s#< S fU ½E `\eVrrÐV+lnþE ^aovwSHE lf V(gPÃd iageU^aovV+ÎA o^:dNm½\Y½E \ÎiOd cqSV!8:;:;!: ~a{K#½< WsW9þE \lcqgPþE `ÌcqV(t L iNisg]tHþE o^|c½E iso < `ovÏc½E iso6 ! #" % $# %' &Z
(122) Yj9Y %_ m-|%w( $ v
(123) Y ( % [ 6 Cism(< W:~[6H83 `U ÐVgÎ}[6mAJ ^ag]vwSa{a{s{[< +. +. ôÃõ öôÃ÷.
(124)
(125) !#"%$&(')'+*,.-/0 1). W:}. 110 105 Throughput of moving STA (distance−aware model) Throughput of an average STA (distance−aware−model) Throughput of a random STA (Bianchi model). 100. Throughput (Kbps). 95 90 85 80 75 70 65 60 0. 1. 2. 3 4 5 6 Distance to the AP of moving STA (Meter). 7. 8. E½ s`g]VW hR.Sg]is` sSrp`pc9E½ocqSVIpbÌVt¼cqiarÐism½is adÔv_^a\]V< S z%Ufz< `rpcw^#6Îfz<.Z!< u`pUË^|g R.SpV L ^ar<^av7E½cdÍi]d!=E½geVmþV\e\N38VÏcx4isgPs¤\ [P [
(126) a % [_% cc% a % v% 1 6 Ciama<vfK#6v38iH<<gJA^|gevwS|{s{s{[< +. ö ö èv. . !.
(127) -;&b P F&&-; v( v. Wcf. 1.2. Packet Corruption Probability. 1. 0.8. Packet of a fixed corrupted by a moving STA Packet of a moving corrupted by a fixed STA. 0.6. 0.4. 0.2. 0. 0. 1. 2. 3 4 5 Distance to the AP of moving STA (Meter). 6. 7. 8. Eþ a`geV L ism½m0Eþ\PEþisorg]is<^aHE½m0E½cdE½oceSVIpbÌV(t cqisrGism½is adÔv_^a\]V<. ôÃõ öôÃ÷.
(128)
(129) !#"%$&(')'+*,.-/0 1). W?z. 160 150 moving STA − random topology moving STA − 1000 realization in in a fixed topology average fixed STA − random topology average fixed STA − 1000 realizations in a fixed topology. 140. Throughput (Kbps). 130 120 110 100 90 80 70 60 0. 1. 2. 3 4 5 6 7 Distance between moving STA and AP (Meter). Eþ s`pgeVu}JhR.Sg]is` sSpr`pcbEþocqSpVge^aotiaU. ö ö èv. 8. cqisrGism½is adÔv_^a\]V<. 9. 10.
(130) -;&b P F&&-; v( v. W:. 140. 130 moving STA − 100 realizations in a fixed topology average fixed STA − 100 realizations in a fixed topology Access Point − 100 realizations in a fixed topology. 120. Throughput (Kbps). 110. 100. 90. 80. 70. 60. 50 0. 1. 2. 3 4 5 6 7 Distance between moving STA and AP (Meter). 8. 9. 10. Eþ a`geCV fJ2R.Sgeia` sSr`ÌcFEþocqSpVgq^aotpisU ceisrGismþia adÔv(^a\eVC4FEcqStp`rm½VÏbcegq^ao\]UjEþ\]\YE½isoZ< R.SV\AYf S<^|\8^&}atHl!SHE½ sSVg.cqgq^|o\eUjE½\e\YE½iso¼rÐi54ÒV(g<. ôÃõ öôÃ÷.
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