AVERAGE FADE DURATION FOR DUAL SELECTION DIVERSITY IN CORRELATED RICIAN FADING WITH RAYLEIGH COCHANNEL INTERFERENCE

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1 AVEAGE FADE DUATION FO DUAL SELECTION DIVESITY IN COELATED ICIAN FADING WITH AYLEIGH COCHANNEL INTEFEENCE ALESANDA PANAJOTOVIĆ DAGAN DAČA NIOLA SEULOVIĆ DUŠAN STEFANOVIĆ MIHAJLO STEFANOVIĆ ey wos: Seecto combg c fg Coche tefeece Avege fe uto. The vege fe uto (AFD) fs vese ctos evuto esg of weess commucto systems. Ths qutty oves ymc eesetto of the che esets the vege eo of tme fo whch sg stys beow eeteme thesho eve. I ths e fte-sees exesso of AFD fo u seecto combg (SC) vesty eceve oetg ove coete c fg the esece of yegh coche tefeece s eve. The bch seecto s bse o ese sg owe gothm. Numec esuts e esete to ustte the oose mthemtc yss to exme the effects of fg sevety bch coeto o the cocee cteo.. INTODUCTION I weess commucto systems vous techques fo eucg fg effect fuece of coche tefeece (CCI) e use. Dvesty combg [] whch combes mute ecs of the eceve sg s cssc owefu techque fo eucg these eeteous effects. Sce vesty eceto whch uses mute tes t the eceve s the most commo fom of vesty eceto. Iut sgs fom mute tes t the eceve c be combe o vous wys the most ou e mxm to combg (MC) equ g combg (EGC) seecto combg (SC). Amog them SC s the smest most ctc vesty techque sce the ocessg s efome oy o oe of the vesty bches. I gee SC eceve chooses the bch wth the hghest sg-to-ose to (SN) o equvety wth the stogest sg ssumg equ ose owe mog the bches. I weess commucto systems the fuece of the them ose my be eggbe s come to the fuece of CCI. I tht cse thee ffeet ecso gothms Detmet of Teecommuctos Fcuty of Eectoc Egeeg Uvesty of Ns/ Aes Meveev 4 8 Ns Seb/ es.jotovc@ef..c.s ev. oum. Sc. Tech. Éectotech. et Éeg Bucest

2 Avege fe uto fo u seecto vesty 95 c be e: the ese sg owe gothm the tot owe gothm the sg-to-tefeece owe to (SI) gothm. I ceu mobe o systems wth fg exct efomce yss s usuy qute comcte oxmtos e sometmes use to smfy the yss so tht some es stuy vesty by coseg the effect of oy the stogest CCI [ 7]. I mcoceu evomet CCI my we be moee by yegh sttstc but yegh fg my ot be goo ssumto fo ese sg. The ese sg usuy exeeces c fg sce e-of-sght (LoS) th betwee tsmtte eceve wth mcoce my exsts [8]. Theefoe ths stuto ffeet fg moes fo the ese sg CCI hve to be use. The vege eve cossg te (LC) vege fe uto (AFD) eeset the system s seco-oe sttstcs they e use s mott efomce mesues fo the oe seecto of the tsmsso symbo te teeve eth cet egth /o tme sot uto [9-]. Stues focusg o the yss of the LC AFD fo SC system wth/wthout esece of CCI c be fou [-6]. I ths e we eve fte-sees exesso of the AFD fo u vesty SC eceve whch emoys the ese sg owe gothm oetes coete c fg ches exose to yegh CCI. Numec esuts e so esete to show effects of vous metes o the AFD such s the fg sevety eve of coeto.. AVEAGE FADE DUATION I ths secto we see to evute AFD. It s mott mesue to escbe how og vege the system ems the outge sttus. Actuy tefeece-mte evomets the esectve AFD t thesho µ s efe s the vege tme tht eveoe to ems beow the eve µ fte cossg tht eve the oww ecto. It s gve by [] F ( µ )/ ( µ ) T () µ µ µ Nµ whee F µ (µ) N µ (µ) eote the cumutve stbuto fucto (CDF) vege LC of the eveoe to esectvey. I ccog to fct tht cosee u SC eceve uses ese sg owe ecso gothm stteous outut eveoe to s gve by { } µ mx. Due to suffcet tes stce ese sg eveoes o two vesty bches foow coete c obbty stbuto fucto (PDF) [5]

3 96 Aes Pjotovć t. ε I I I ε - 4 ex () whee s the bch coeto coeffcet s the vege ese sg owe s the c fcto efe s the to of the sg owe the omt comoet ove the scttee owe I ( ) s the mofe Besse fucto of the fst -th oe. The stogest CCI eveoe foows yegh PDF [] σ ex σ () whee σ s the vege tefeece sg owe. The CDF of the outut SI of the oose SC vesty system ν c be obte usg [7] ν ν ν / A A A F (4) whee () A (A) e the PDFs of ese tefeece sg owe esectvey. The PDF of ese sg eveoe t cosee u SC eceve outut c be obte s [ Eq. (9.687)] (). (5) Substtutg () (5) chgg the oe of summto tegto tegs (5) c be sove wth use [8 Eq. (.5())]. The PDF of ese sg owe t the SC eceve outut s exesse the fom of foowg fte-sees usg [9 Eq. (4.)] ε

4 4 Avege fe uto fo u seecto vesty 97 ( ) ( ) ( ) ( ) α α ( ) ( ) j ( ) ( ) ( ) ( ) α α ( ) j j ( ) whee mx{ } ( ) s the Gmm fucto ( ) α. ( ) ( ) α ( ) Substtutg PDF of tefeece sg owe t the SC eceve outut eve yg [9 Eq. (4.)] o () (6) to (4) usg [8 Eq. (.5())] the CDF of SI t the outut of SC eceve becomes Fν ( ν) ex ε ( ) ( ) ( ) ( ) ( ) ( ) ( ) χ ( ) (7) ( χ) ( ) ( ) χ ( j) j j j j ( χ) whee vege ut SI s efe s S /σ ( ) S χ. Hvg ( )ν m tht F µ (µ) F ν (µ ) usg ytc exesso fo the vege LC of the eveoe to t thesho µ [7] (6)

5 98 Aes Pjotovć t. 5 N ( ) µ µ fm π S S µ ex Z ( ) µ ( ) ( ) ( ) µ S ( ) µ S ( ) µ ( ) µ ( ) ( ) ( ) µ S ( ) j j µ j j j S ( ) µ j whee f m s the mxmum Doe fequecy (8) Z µ ε AFD c be esy evute by (). ( ) ( ) ( )( ) ( ). NUMEICAL ESULTS We hve umecy evute AFD fo oose u SC system esuts e show Fg.. Ths fgue esets ots of the omze AFD

6 6 Avege fe uto fo u seecto vesty 99 (T µ (µ)f m ) fucto of the omze eveoe to (µ th µ/ S ) fo ffeet vues of c fcto bch coeto coeffcet. As execte fo gve vue of the AFD s the mootocy cesg fucto of µ th. Aso Fg. shows tht AFD ceses whe both evous metoe metes cese. Moeove t c be otce tht fuece of c fcto o AFD s eggbe fo µ th gete th B. Ooste the fuece of bch coeto s sgfct fo µ th ess th B. Fg. Nomze AFD fo u SC eceve fo seve vues of c fcto bch coeto coeffcet. 4. CONCLUSIONS I ths e we eteme the ytc souto of AFD t the outut of tefeece-mte SC system mcoce evomet emoyg the ese sg owe gothm. Seve umec esuts e esete to ustte the oose mthemtc yss to ot out the effects of both fg sevety bch coeto to the efomce of the u SC eceve. eceve o Jue 7

7 4 Aes Pjotovć t. 7 EFEENCES. M.. Smo M.S. Aou Dgt commucto ove fg ches e. Joh Wey & Sos Ic. New Yo 5.. S. Ou Effects of SI seecto vesty wth two coete bches the m-fg che IEEE Ts. Commu G.. gs Pefomce yss of SI-bse u seecto vesty ove coete Ngm-m fg ches IEEE Ts. Veh. Techo M.Č. Stefovć D.M. Movć A.M. Mtć M.M. Jovjevć Pefomce yss of system wth seecto combg ove coete Webu fg ches the esece of coche tefeece It. J. AEÜ A.S. Pjotovć M.Č. Stefovć D. Lj. Dč Pefomce yss of system wth seecto combg ove coete c fg ches the esece of coche tefeece It. J. AEÜ M.Č. Stefovć D. Lj. Dč A.S. Pjotovć N.M. Seuovć Pefomce yss of system wth L-bch seecto combg ove coete Webu fg ches the esece of coche tefeece It. J. Commu. Syst A. Pjotovć M. Stefovć D. Dč N. Seuovć Avege eve cossg te of u seecto vesty coete c fg wth yegh coche tefeece IEEE Commu. Lett J.C. Buttue G.. Be Pogto chctestcs o mcoceu ub mobe o ches t 9 MHz IEEE J. Se. Aes Commu G.L. Stube Pces of mobe commuctos MA: uwe Bosto L. Yg M.S. Aou Avege outge uto of weess commucto systems (Ch. 8: Weess commuctos systems etwos ) Sge US 4.. X. Dog N. C. Beueu Avege eve cossg te vege fe uto of seecto vesty IEEE Commu. Lett F. Ach M.T. Feeey J. D. Psos Effects of coete fg o eve cossg tes vege fe utos wth eetecto vesty eceto IEE Poc. Commuctos Sg Pocessg Z. Hz-Veov Leve cossg te vege fe utos of seecto vesty wth c-fe coche tefees IEEE Commu. Lett N.C. Sgs D.A. Zogs G.. gs Seecto vesty eceves ove oetc Webu fg ches IEEE Ts. Veh. Techo A.S. Pjotovć M.Č. Stefovć D. Lj. Dč N.M. Seuovć I.M. Petovć Avege fe uto of u seecto vesty ove coete c fg ches the esece of coche tefeeces Poc. EUOCON Lsbo Potug 7 9 A. 6. S.Ž. Stojčć M.Č. Stefovć S.. Pć S. Meć G. Poovć Seco oe sttstcs of the MIMO κ-µ eywhoe fg ches ev. oum. Sc. Tech. Éectotech. et Éeg H. Yg M.S. Aou Outge obbty of u-bch vesty systems the esece of coche tefeece IEEE Ts. Weess Commu I.S. Gshtey I.M. yzh Tbe of tegs sees oucts 5 th e. Acemc Pess CD veso D. Zwge S. oos St obbty sttstcs tbes fomue Chm&H/CC Boc to.