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1 SCI-UBICAIOS Auhor Mnusrp Amern Journl of Appled Senes : ISS Sene ulons MAI Cnellon n DSCDMA usng ne Approh on WDS Y. Jrne R.Iqdour B. A Es sd nd. Deprmen of physs Cd Ayyd Unersy Fuly of Senes Semll Aenue rne My Adellh.O. Box 9 Mrresh Moroo onl Insue of ose nd eleommunons A Alll Al Fss- Mdn Al Irfne R-Insus Moroo Asr: he seepng hp eghng eforms re used n Mulple Aess Inerferene nellon y emphszng he reeed spredng sgnl herefore h llos o sole he prolem of orhogonly for he hp eforms. he gol of hs sudy s o elore useful mehod sed on fuzzy sysems o deermne he despredng sequenes eghed y he seepng hp eghng eforms for Dre Sequene Code Dson Mulple Aess DSCDMA. he ldy of he proposed mehod hs een esed y numerl exmples for n Adde Whe Gussn ose hnnels nd shos h he prmeer lues of he hp eghng eforms re good nd he B Error Re BER performne of he sysem does no undergone ny degrdon. ey ords: Dre sequene- ode dson mulple ess- eghed despredng sequenes- fuzzy sysems- mulple ess nerferene IRODUCIO In DSCDMA sysem he gges prolem lmng s performnes nd py s due o nerferene produed y mulple ess of seerl users n he hnnel [-] Mulple Aess Inerferene MAI. Seerl sudes he een mde n he gol o ree MAI u re dsdnged y her ompuonl omplexy n he numer of users nd her requrng noledge of delys mpludes nd modulon eforms of he desred user nd he nerferng users. In preous or [-] mehod hs een proposed o Wegh Despredng Sequenes WDS y seppng hp eghng eforms h he purpose o he MAI nellon. he despredng sequenes ere expressed ordng o one prmeer. hs prmeer hs een dused n order o mxmze he sgnl o nerferene plus nose ro SIR neerheless for eh spredng ode he lulon of opml lues of hs prmeer hh mxmze SIR hle ryng he sgnl o nose ro SR s no so esy. In hs sudy e propose ne mehod sed on fuzzy sysems o deermne he WDS for DSCDMA sysem. Our gol s o redue he omplexy lulon of he opml lues of he prmeer for eh SR y usng he lernng ly nd he hgh-speed ompuonl py feures of fuzzy sysems. Model semen: We onsder he sysem desred y Hung nd ung-sng [] he rnsmed sgnl rele o he h user gen y: S os ω Θ Where nd ω ommon o ll users re he rnsmed poer nd he rrer frequeny respeely Θ s rndom phse. s nry d sgnl nd s he spredng ode hh he respeely nd s durons here nd s he perod of he spredng sequene nd re gen y: hus he reeed sgnl r he se son s gen y: r S τ n τ τ os ω Φ n s he ol numer of e users τ nd Φ re rndom me delys nd phses respeely hh re reled y: Φ Θ ωτ for n s n Adde Whe Gussn. Correspondng Auhor: Y. Jrne Deprmen of hyss Cd Ayyd Unersy Fuly of Senes Semll Aenue rne My Adellh.O. Box 9 Mrresh Moroo 7
2 Am. J. Appled S. : ose AWG h o-sded poer sperl densy. he eghed despredng sequene for he h reeer s gen y [] : 5 Where for s he h hp eghng eforms for he h reeer ondoned on he sus of hree onseue hps: nd y x for x y nd oherse. he h hp ondonl eghng eforms for he h reeer s defned y [] : nd f nd f nd f nd f he elemens of he hp eghng eform eor re gen y: [ ] 7 Where ] [ s he prmeer of he seppng hp eghng eforms nd [ ] s monoonlly deresng funon h : C here he onsn C s hosen equl o. We ssume h Φ nd τ for he h user he SIR Condoned on s gen y [] : [ ] [ ] ] [ SIR Where: E E s rndom rle hh represens he numer of ourrenes of for ll [ ] nd he erm s gen y: 5 9 Where s he numer of ourrenes of for ll [ ] n he h WDS. Eh elemen of es lue or - h equl proly. I s oous h. rmeer of seppng hp eghng eforms 5 7 SRdB SRdB SR5dB Fg. : SIR ersus he prmeer for rous lues SR hen 9 In Fg. SIR s ploed ersus for dfferen lues of SR hen 9. In he smulon e e he follong lues: } 5. nd As n e seen from he Fg. he lues of he prmeer should e uned o s opml for dfferen lues of SR so he orrespondng opml lues of o SR db SR db SR5 db re respeely nerly equl o.5. SCI-UBICAIO Auhor Mnusrp
3 Am. J. Appled S. : SCI-UBICAIO Auhor Mnusrp nd. h llos us o redue he error re n deeon [] gen y: mx SIR BER erf I s remrle from eq. nd eq. 9 h s no esy o lule he opml lues of for eh ode n gen ode se. Fuzzy sysems sed deermnon: g- Sugeno fuzzy sysems [5] form ery spel lss of fuzzy sysems euse he onluson of eh rule s rsp no fuzzy se. A ypl sngle needen fuzzy rule n g-sugeno model of order d hs he form: R f x s A hen: y d x for. Where x s he npu rle x n R A s fuzzy se of R nd d x s polynoml of order d n he omponens x of x. In he sequel e ll suppose d. For onenene e ll re he onluson of rule R relely o npu x s: y x ' β Where β β β n An nerep s lloed n he onluson y f e suppose x s erm. Oupu ŷ rele o npu x oned fer ggregng se of S rules n e ren s eghed sum of he nddul onlusons: y Π x y 5 µ A x Π x µ A x Where µ A s he memershp funon reled o he fuzzy se A. he seng up of fuzzy sysem requres o ypes of unng [] : Sruurl unng: he numer of he fuzzy rules nd he needen fuzzy ses A re denfed. Mny ehnques re lle n he lerure. In hs sudy e used n exhuse mehod sed on he use of he Gusfson-essel G fuzzy luserng lgorhm hh onsss o nlse nd o dus he prmeers for eh seleed sruure hle srng h sysem h o rules. he opml numer of he lusers s h hh ges mnml lue of he Roo Men Squres Error RMSE ldy reron. 7 rmer unng: he model prmeers lner nd non-lner re esmed. he gol of he prmeers opmson s o fnd he es» pproxmon ŷ o he mesured oupu y. he lner prmeers β re denfed usng he Weghed es Squre WS lgorhm hle he eenerg-mrqurd M lgorhm s usng o esme he non lner prmeers S nd m. he S Fuzzy model employed hs egh npus nd one oupu: Seen of he npus re ound drely o he used ode [7-] : { } { } { } nd. { } { } { } { } { } he ls npu s nd he oupu of he S fuzzy model s fs. he lues of rnng d he een en from he rnge of [ 5]dB. le : Code of Code Code Code Code Code 5 Code Code 7 Code Code ****** fs Code s referene ****** op Fg. : he fs nd op ersus her numer 9 RESUS AD DISCUSSIO In hs seon e presen he numerl resuls of our proposed mehod h 9 s numer of users. he used odes n le re hose of Gold hng for her good orrelon properes [9-]. le ges nd for eh ode nd llo us o { } rn our S fuzzy model for dfferen lues of. Afer lernng he S fuzzy model generlze he relon eeen he opml lues of op nd spredng ode hle ryng lues o mxmze
4 Am. J. Appled S. : SCI-UBICAIO Auhor Mnusrp le : Qunes ode { } nd { } of he ode se hng { } { } { } {} fs op Code s referene db Fg. : he fs nd op ersus Fg. : BER ersus for he h user s reeer hen he fs nd op re used n he performne expresson 9 SIR s esed h unseen lues. he frs ode s used s referene n smulons. In Fg. e presened he eoluon of he op luled dreely y eq. nd eq. 9 nd he fs oned usng he S fuzzy model he numer of he rules oned s. We noe from Fg. he good greemen eeen oh prmeers op nd fs. Fgure llusres for dfferen lues of unseen he opml lues of he prmeer op luled dreely y eq. nd eq. 9 nd he resuls gen y he S fuzzy model fs. Aordng o hs fgure e n onlude h he lues oned y he S fuzzy model nd he opml lues re denlly ner. Fgure desres he error re BER performnes of he h user s reeer ersus hen he lues gen y he S fuzzy model nd he opml lues re used n he performne expresson gen y eq.. We remr h he BER does no undergo ny degrdon. I remns o noe h he sme resuls re oned for he oher odes gen n le. Anoher mnner o proe he ldy of our model onsss o ompue he RMSE Roo Men Squre Error of oh phses: rnng nd es. he RMSE s gen y: m RMSE op m fs For 5 erons he RMSEs ere.5 nd. for he rnng nd es unseen phses respeely. As e do no on greer error hese resuls re n good greemen h hose gen on he fgures. COCUSIO In hs sudy ne mehod sed on g- Sugeno fuzzy sysems permed us o deermne esly he opml lues of hle ryng he SR nd herefore he deermnon of he despredng sequenes eghed y seppng hp eghng eforms for DSCDMA sysem. I s orh onludng from he numerl eluons h e ge he nerly opml lues of op quly nd esly y he proposed mehod nd he error 79
5 Am. J. Appled S. : SCI-UBICAIO Auhor Mnusrp re performne does no undergo ny degrdon hle usng he lues oned fs nsed of he opml lues. REFERECES. Verdu S. 9. Mnmum proly of error for synhronous Gussnmulple-ess hnnels. IEEE rns. Inform.heory. pp: Jrne Y. R. Iqdour B. A Essd nd. 5. Comprson of performnes n nellon of nerferenes n CDMA sysem eeen o mehods of deeon onenonl nd mxmum lelhood. AMSE Inernonl onferene on modelng nd smulon. - - oemer 5. Mrresh Moroo.. Hung Y. nd. S. g 999. A DS-CDMA sysem usng despredng sequenes eghed y dusle hp eforms. IEEE rns. Commun. 7: -9.. Mon A. M. M. Ds nd C. W. Helsrom 99. A nose-eghnng pproh o mulple ess nose reeon -pr I: heory nd ground. IEEE J. Sele Ares. Comm. : Fordlso A Sysèmes flous e préson de séres emporelles. Hermes Sene.. Berndee B. M. nd C. Mrsl. ogque floue prnpes de à l déson. Hermes. 7. Jrne Y. R. Iqdour B. A Essd. nd S. Sour 7. eurl eors for Inerferenes suppresson n DSCDMA h Rylegh fdng hnnel nd poer onrol error. Sene ulons JCS. : Jrne Y. R. Iqdour B. A Essd nd.. Deermnon of eghed despredng sequenes for DSCDMA sysem usng ne mehod. IEEE seon h Inernonl Conferene JEA - M unse. 9. Dnn H. nd E. B. Jr 99. Spredng odes for dre sequene CDMA nd dend CDMA ellulr neors. IEEE Comm. Mg. : -5.. ârnen H. A. nd.. A. eppânen. he nfluene of nl-phses of ode se on he performne of n synhronous DSCDMA sysem. Wrless ers.commun. :
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