.iournalof AI Azhar UniversityEngirieering Sectnr. Vol. 7, No" 22, Janulary,2012,192-'Xgg PH,I*.FffilqiWANCfl ANAI,YSIFj ffiRlF&.A}t*T'ff"*,4VEI{A{]Xl P{}\^/EnRX{ATXO S',VSTF:,I\{S W[REI.,H,SS R{i]$UC'XIHON'T"F]CF{hiH{J[.IKS f]NW[[N,fO-OF$T4 2 Gan'nalNr.flahnouu$q Ahc.]e[--[-{nmridl,Sa}nanAhclefl"lta]r'rnallz axrdF{ala (}aben"F'an"n*tg ' Military'I'echrrioalCoJlage 2 Fercriltyof ShopraEngincerirrg.Banhauniversit)', A.FjS n'[tu\(i'n' of Multipie-Input Multiple-Outpr"rtOrthogonal Ft'equencyl.)ivision tr4ultiPlexing A tnajor chau,bae:h Powc'r:Ratio (PAPR). SelecteclMapping (l\4ltvlQ"Ol;llM) systeprsi.s its trigh Feali-to-Ar.erage Seqnence(PT'S)is l,ropo"qcito overcomethis Probiem. algoritl1m(SI.M) aLrclParl"iall'r'ansmi1.s llivision n in Olthogullsl!;'lcclnency Si.,Mis ole of most n popularschemefor peakpowel'rerJuctio the carrvinp, (OilDI4) rynt*ms by generatingiei'eral OI'DlVt symbols (caudidates) N,lultip1exilpr ln this pailer vve sainejlforination a1d ssieci the one having tire lou,estPAP.hl{br transrnission. OFDM s.yntbol (PI)F) selectecl of the tiieor.eiicalainplit6del,robabiiity Ilelsit5' Function <ler.ivc i-rsirig or:dei: statisrics.T'hisamplitucleI,l)F enablesr-lsto rlerivetlte Signal-to-NoiscItatio (SNR.)as a fkrrPAPR in wi reiess aucJerror perfbl'lnanoeof N'iIN4O-O1?DM functiorro1:thc number af cauiriidates tire FAPR of tlie transmittedsigrierls show that this techrriquerecluces hitunericiilIlesr-r1ts Sys;'Lems. corrsicierabl,v, (OF'Eri\{),I}eak-to-AvereigePowcr' J\tnrntipneximg L-}ivision }rrer{memgy Ortirergonnl KitVW$ft.-f,)f1: (P'FS)' (SI-,h4), Fartial n'rnmsmltseque}rc:o ftntio flnA]rX{)$Jecf.ivexraarpping c]tstox'tionra{c (' (FDF),Siigmat[ }uBit Ernor ll,'una'(,[on Profoabili(vLlistu'i,fuution (SN{q). atio ( Il}t}R), Sigmatr-t:o-lq{oise [t Ra{.es i {NT[TC,DDTIC'il{ON brrt it sy.stems" MlM11-OI,1)kijs eurattractiverr:chniquefbr high clatarate rvir':lessc,ot1}mttnicatiou r:xhitrita largleireak-to-everage tr)owerratio (PAPIT (tlie car:riers)lil. fire high PAPI{. compoirents; region of lligh Pcirver,z\mpllfier(I-IPA) notLliuear qf Bit lirroi: Ii"erte(iilllt). In OF'1}M systcins,seve (SL.M)and SerlectiveN4a.i4ring ic.,sc,lrct1i.sprobiem l,) lil Orre of inost u,idely usecimetltt.rdsis 'Ihe 'lransurit probabilistre: of pr"iLiciple parrial sequencc'(pl.'S) using probabiiistiLrmothods. nrethociscleireiiclor-ireclucing1hc:probauititi of high'IrAPIl iry generaiing sevr:r'aiCIFDM symirols (i1r-rltiplecalcliclates)carryiirg tlre same infbrmation anr.lby selecting the o're having the lorvest sul:rbiogk partitioning can also be classifiedinto tr,r'ostral,eElies: PA.PR.Thc plobabi1isticrnethc,ol 'trhe strategyancll:ntirc bioek s;trate5l5'. sub [rloc clonainI (tlTS) l0 I j. cliviclesfret,'us11st sequeircc nlapp thc erttirerbloclt s'irategy,sitcli as seler-:te'd entjrr tht: cauclidates. [iirst. rnr-L1tip1c !-Icllcrzitiltg 192 ()FPF,AI(-'IO _AVERACE PEIIFOI].MANC]H '"Yii1,'i;,il" ANALYSlS WIITELESS IN MIMO-OFDM IONTECHNI(?UES REDU("T Distributicn Funct.iott(PIIF) for the gencraterrLtltiple eandiclatesis considerecland ti"reprrrobability systernis analyzecl.When the cairc\idatelraving the lolvest PAPR is selected,the multiple cancljelate a funetionof the numiret"of candidates' of a selccteclOFIIM symbolbecs:mes PDF;f the amplitud,e We applythe analyzedPDF (as ai'unction of n) to oblainingthe Signal-to-NoiseRatio(SNI{) as a luncLiol of 1. Then, the SNit (as a-funetiorr of n) can be useclfor analytical error perfornianee' Ftro$,ever,we silggest using our PDF (nrultiple ciindidates) to obtai.n the tirecretical elrol' system. perfnrmanceariclalsc the statistiealchannelcapaeityfor the mLrltiplecanC,idate 2. #F nlhdsvsTKn/flvfls[']E[, I W.ith We colsiclef the \4I1MO-OF'DMsysternswirh ,\r, transmit antennasthat use N subcan';iers' = wili be OFIIM rnodulation"a bkick ol n clatasymbols(one OlirilM symbol), {3',*,rl 0, 1,.',, n-l } : 0, 1,"', transmitteclin para-llelsuch therteach modulatcsa clifllerentsttbcarrierfiorn a set {.'f'r',N 'Ihe '=' symbcll N subcarriersare o;thogonal,i.e. .f.. "'N,tr,f' u4rere"l\7d 1/nf' and T is the N-i). as basebandOFIlld signalir-l*.r of a blcickcan be exp''resserl period.The resr,rlting :5ll,-t.1,.s3j1:sirr 0<t<n'f Lui-' .L.r:ail,== (l) ffidari;;f ank:nna' Wheres,, is the transrnitted[]I.'DM signal at the N:" subcarrier<if tl;,e ,\'otltrartsmit -AveragePower tr{atirI ibr T'heoretieaily,large peak-sin o'FDfuI systemcan be exi;resseclas Pcak-tcl one transmitautenua.It is usuallv definedas Frt.$-ltS 5-K;c;:--ii-uir--f-: '-* I:\-:.pil-r*::5j '.'.'''r il,,i'"' Q) ;.1:.1,.'' distribution f'uncLion whcre E f .] rlenotesthe expecte,dvaluer,Then"the cr:nrplemcntaryouilllllative the given thresholci (ccDlr), which is the protrabiliryrhal tlie pA.pR of anbrnta syrnbolexeeeds as PAFRO,cau be expressed (3) AssitnlcA -* IlAPitO' pr *. (pAFR > ,DAIIR$,.=r\) CICDFT "[']ur:ughoui. tLrispaper we asct]rnethe rnultiple ce (frequenc)rdomain signal, variables.n eanclielates of probr this eaiiditiategeneratorl'epreselltsa c/'eir;s 'l"rartsfort Alter the N-poiiit Inverse lrast rtrourier doinainsignal). i r{ ir,, ,}li' , l '': it"" 'l!J' [ f ; ; . . - 1 . r , , ] r , ; , . , , . . . .' ] Wheuwe cletine il, , * i t, , i 'fhcn i . 1 ",r " * f 1 * * { . f l ; . . ;. ^i l : , : , . . " , f f " r ; r * i , ' f l 1i,l; 1 ' '\'', ' , - f . : , : , , . , f ; : . , t * . : , j ' i i. 1 , : i " , , f , , , *l f {,., , ,.a[:;,) .* LXr+; ' (4) I r . , ; - ; f ; o : = " i , f , , 1 , f , r . , :, , , ' l l r l. . "*fl i l . ; , ,i ' r'wherr: ::i rtr^!:?rillttt, i $t*l',' i;,, ].) Ior oancliclat:e, "1 the t$tit selects peak cleteetor. a*d the by a 'l''hen, the seleeiecl(i*"') OI.l}h4 signal candicj'ateis olipped j € ii, . u] a'el ,i t {1,.,,,:{}. follc'w.s: where we consider the so.ftr;lipping Moclel i i 4l, I2l I as nrnlinear a.mplifier*, ; 1 \' ;:,-, *, . x , . ir i ,\ ,. 4 ; w - ; r i . - * "I ,i:' ,, w,, i.. 1".1.-.-..t. { I A t j E S?. .2 ) . 2 L ) 1 2 ; r (s) PERF'ORMANCE ,a,NAI-YSLS OF FEAI(- fO' AVERAOI.:PO\4/EJ{RA'IIO Ri?DI.i('TION TtlCI-INIQUES IN MIMO-OFDMV;IREI.ESS 'Where ..{ is the maxinruln permissihle amplituclefor the c.lippirrgmodel (threshold ler,'ei).The r:lipped jrr" candidate is transmitted to the ree'eiverra,itli its side information, where the side 'I'he infblmation containsthe information of rlnai,d it is used for rccovering the original datat. side information proteetion dependsan the various protoction strategies,such as no side irdovmation rt':etlrccf the f l5. 161or codedside informationrnethod[17], Flowever,in this paper,for ar,a|1'z:"ng pure effect of inc;reasingn f'or the multiple candiclatesysteni;we assumethat the side irilbrrnationis s;entwitirout ettors. If we assulne the complex OFIIM i;ignal, which consists of a nuinber of incLepe:uclent orthogonerl subearriers and thi: OFIIM signalX..- fbr i [ {i,.,.,rr} and .i'E il,.,,,:{],, (]aussiandistr:ibutedrvith mean0 and variance1. 1.lreenvelcpe :.,., = [.r',.,I is R-aylelgh is cornptrex distrib'Lrted with PIIF ; given by: , i r ' - ,i --" ,tp;" : i1: fi * i ::, e'-tt (6) '.'*r'*": gr:'t': ':" * te, r\o<;ordingto the largestorder statistir,:s |15l. the distrillr.rtionof the maximurn o1 lhrl amplilude '-= .l: va.iues( rtl,.i-l;'., is gi'ren by ,3) ri_--,,,,... 'i*i *; (1) , \ ,1 r 1 . r : 1Ir -. ' - i : i ' ' ' i * t i ' j , . . n . r i .*: ;J- , q . i " i a , i t , l . .i :- i.r. J , r f r . ; ter ltr/henwe selectthe er+ncliclate having minimum peak amplitude among n eandidatcs,ar,:oording ihe runallestolcJerstatistics(CCDF) 1181.we otrtainthePDF of the pt,:akarnplitudeof tne selected candiclate r;ri*r i,*;*r, {r,, }i=, [;;;" Using {o,,," i.;:1 j ri.t )t'- x {..ti t: r l..lr'.ir,-'..*" ,"*,". t ,': ,* rr"r1,,.,r-. Frornliq (6), (7) i . : r : , \ ' . * i , ' - ; rr r l . - e " " ' ' J' ' " " " t . i - t " , . , , " ( , r : ; i o : t , i " ' * t '* r''''t ,ll't' ^" ,.i..1 ,'Wl:i"lxr {'! -- 4'*'i: l tt't,i Where J-' .l*,-,,,r{r'1n,.1=. l * (8) * { ^ r . r , . l = j i r r i \ ' : : , . . , { r , , , , . -ii,'\:f1i ; i J ' ' ; - 1 , q , t r : f . : : } ,) 1^ i' ti " t t l . f t ; j 1 ' " i " i t " ' * . J We non, want ta iclorr the FDF of)'ampliturieof the seler:l.cdcandiclat€ xr-*.= ,*:- iu (5), we have ' -,:".*,*- ,. sinee i.:.i using thc smallestorclert;tatistics(CCDF)" Fru'thermoreo obrainecl.i:,-;; i *-i fiom i=*.,,,." " ,ri,:.r", i-r,..J *,{*;-r;=1. { "rriri:i'. {::"*.,} = ,ru,ort. V v / e c a n a l s o e x p r e s r . , i " . , ; . .a{s- :ai f u n c t i o n o f i ; i t t s i l i g t i r e l a r g e s t o r d e r s t a t i s t i c s . T ' h e n , J::;;:i: j- F--i .: j '* i j: i;,.;;,i i' j r;r'ir ']lhe is giverrbv: ,.'l.itl * F-.{;:.j' candidate of theselected PDFof theamplitude ' . : . \ ; " 'i ' * : j;- in;'rr * I i r"{ iJ F-'' j cr.i'j ,i -r..:,.r** r.1,. F .-1..i \,..1c (e) n /-,,.,.r,, tz] -:".* r Ii* I r' '" (10) s ; ,1 1j,r - l : : ) r . L " - "i l . " - 1 ; 1i';fi r j ' ' ) ' {.{i * trlfls)J " i t,\.fi:jll W<:expect ali p carriers to be aotive. N4oreover,we eonsidcr i,. transmit antsnnits'over wh'ioh Spaoe-tirnecoding as, e.g'"irr [1!]1,[20] is not indepen<lent clatastreamsshoulelirc con.rrtunicated. consiclerecl here.13 eaeh6f the * .: parelllt:lOIrIlh4 transnritters a block of n clistincteottrplex-valued oar.riers(OI;DM lramc, eornbined intr; l.he veetor is transf't'rmeclinto time-clornain(equivalent -. t94 .IAUL:S.7.22.2412 *AVERAGLt PL:lRFORrviANC-rE Al.lAl.YslS oFPEAI(--TO \,vrRELESsi THCHNtQUEs, REDUC.TION tNMlMo-oFDM T,T\N/+xi,+ff;lu compiex-rraluecl basebandsignals) using the IFFT. rJombi:rirrgthe ti'me"rJomainsamplesinto th'r vector the eorresponclence is vrritten in short as uslral in wireless aplrlieations,l/nfcrrtunately, becauseof the statisticalindependerieeof the carriers,the time-domain sa.mplesare approximately 'I'his complexGaussiandistribr-rtecl. resultsin a high pealc-toavcragepou'er ralio f l r i r : * ' i i t " $ i : i i 1 * " i , i * " ( ; \ $ [ : i i r r r * - : . , ( , i i r { r } l ' : ' -. :{ i s * . { J . f{ r J : r x " } r * i 1 " ' : i ; ( i 1 ) V/e appiy (1i) to obtairiingthe Signai-to-NoiseJplus-distoltion l{atio (Sl\R) as a firnction of n (t'i\H 'r' ' ll-ll. Used the ltayleigh FDF f* , to obtain the SI"IRof a niultiple candidatesysLem. .[-Iowever,the:PL.!Fof arnpiitucleof the selecieclehnclidatesnot Rayleigh PDF anyrnoi:e,beiug the fturction of n. Tlherer"crre, we use the PtlF' of (11), ,c; tn obtain the Sl'trR of rnultiple candidaie systefil"and liere alter we will use SSIA'* as a tunctir)n of tt, insteaclof SI,TR.lior that, the PAFI{. thr'esholdfor clipping liarne error (F{)is define as Li',.i -qi" It ip.',i \ty'irere theinputpor/er tril,' *"{i "fl t t.: *',1"and p,j,'=.F {i.r,,,,it } *. J*''t*"}tl; Le}ds (12) els solutionis obt,,iitteil F'rorneq,(11) the total outpr.itpower for the multiple carndidatc ( 13 ) (14) arrdthe signalclistortionrate^ rT Vr'hei'ethe total attenuation factot k * -'ii-,* it;,:. 'lhe iiNR for the mrlltiple i:anelidatetechnieluc: (15) = $\{f{:rt Fiirnliy we assumethat the side information is Signalovel the AWGN charuel is given by |tiR'.ttl ) ,P, * f*)i 'r,;',$ Firrlhennore[iymlroi etror tates (SI)R); Fs ;;t withorit errorrs,the llEIt rnoduiated {['-]1')'r' siou,li, (constantattenriationcluringorie OIiD M syrnbol) itayleiglii;or the fi.equency-nonseiective {'adineeheulnel j Ihe IIEI{ is givenbv Ji s:: i- I f { '- ["'''rs i **.'l.d* srt'ltdigen$ r'! . 1-t . i*3i] \ / .+l r",.'t n"f* . J ^ dq ; ' " J r a r + ' alL ;'il ir Wlr.ere e is the ehalnei attenuatioirwLriehis RayleighdistribtrtcdrvithS { lt"ri}'" t. .1,\Lri:S.7.2?.201). (l6) I N MIMO-OFDMwlREI,ESS l()N TECI-INIQUEsi POWEI{RATIORF.DtJC'f PIRFOR]vIAN.E ANALYSISOF PEAI(_]'O-,2\VERAGII SYSI-I]MSJ -*'-*---l "\ t l $ r , 1n ' " ' * " ' ( . l q l ;'n . ill$ HtiJl (itt;rts.,.I,-i; ] I ir'* Fl ti*t-.:i:tnt ill;i5i+r i iin;t 1,,' t:o:'. ' Fig" !' F 5idrl ittlrultr*bltln a) SiLiVIffilochf,liagrant S 3" IWJMtr.[AnCA\f.RS]S["Jn.,T order to A S;M algorithin is nog-clistortiontechuiqu:esfol reducing I'APR in OFDIVI system' Itr reoeiver, the to seut demo<lulationin the r*eeiving enel,side information tnust be have error-fi.c;e protect correctly,I-{ence,in practical a-pplieationoften requiresthe ltsc of some eoding Ineasurest-o performauce irrfurmationtrom beilg rlisrurblcl;this paperfb r:uses.xly on stiidying PAPR.redr'ction in h4IMO-OFDMsystem. of tlF-DM f igure l. an; ^1.shora,SLM proposalcan sigrrificantlyimprovethe PAPR rlistributions 'fhe pcrv/er signal' systern,that is, significantly reduce the plJsenting protrability of large ,peak but with n-will raise the complexity clramerfically, increasingof tho numbor of oFDM signai fi"a.mers jt for used be benefit of smail inproveurent of parn teduc'tion pelfbrmauee that means can ficrrthe CI"DM clifierentgFDM systernsiryithciif.furentnrunberi:f oairiers.if is particulartrysuitablt: (more than 12E)' systemrvith a large nurnberof suir-oart'iers as the function of n vrheren=\,2,21, ri czrndidates 4, shr:wtlie IILIFo1 agrpliturleqf the selecte i,iigrrr.* here atter we it. $/e use i;heFIJFigf eq (10), to otriain the SNII of muitiple canclidatesystern,ancl wiiJ i-rse$NR "' as a functionn, ru'rcl frequencylrip,rrr.eS" shor,vsthe error perfrrrmance eompa'risoll over AWGN chanuel with an error matehe'J weli is fadirig charrriel,wheie the analyticai siyrnbolllrror R.ate noiiseleet.ive Wecan f r a m e w h i c h a p p e ? , r s a t l a r g e S N I { b e E : a u s r : o f t h e c l i p p i n g"n0odi lsl ca an tdFt lt = 1 , 2 , 4 ' B ' try iuereasingn' seethatthe erroreandecrease. 7.?.22012. ,r^r.lES. -.,r\VTRAGE Pb.rurOltNlAi'JCE ANALYSISOIj PEAITI-'IO WIRELESS IN ML\,4O-OFDV{ POWERRA f {O REDLi(]TIONTECFII\IlQtjES SJYS'I'E\,iS itjc r: =' *' f{ "ffi" * *- lal Oriun4l tle?55 tr) 5trs1 1t<?58 {i.l SL M .t{€ t?r'l *. .".*.-" td)SL[,1 il€S,l hi 1tf' 0 il 0: n .{ L c 8lto' t0n + 8: r I l.+,.-,,-".-Ji 1l 1[ P&FRDiNB: irAPKllrl8l F'ig..}. C'ompanisonof 'P.AFRned Ferformanceswith different.va lues of N Fig.2" Comparison of PAPIR t'eductiolt Fenfonrnnlrces w;fh diffeq"entvrlluesof n. l() , l0 l lil '' t{i : 3fl Al:plitutle,ri F$[l fov s-i1,: t Fig.4. .+nalytical t{r N = I2E" Clorresponcllilg ,rQ lrr,,'Nt ddltt F'ig.5. .AnalyticalSymrholXirror tr{nteagninstfran ie El'ror 'tr'his tpgiearsat lrin'geSFIRbecauseof the cli'nping a t F * 0 d f i Ba n d n = t r , 2 , 4 , E fNoise 4,.C0NC{,US{0I{S in i1 this paperl lhe perforr.nance{)f SLI\zicperating jointly ou blocks of OITIiM frarnes, either airaiytic expressiotlsf.orthe CCLIF of'P/ tFR have $patia.lol i*rr,pornl direetion has been assessed. IIAPI{ recluctionschelrles,u$ing SL,M the CCDF of PA}IR In contra.stto other 1\,4lN4O beenderirrerJ. equal to the nurnberof transrnit antennaii' exhibits a steepercler:a;,,ilereasecJtry a faetor:(a.1rnost) tlR) r:f a We strxly pro'tlability ,lensity fun,;tion (PllF') analysis ienclthe signal-to-noiseratio (Sl seleeted the nlodlllatioll systeln.Since thc PAPR in OITDTM ffiultipig *undirtut*systemfbi rechi,,:ing tho OFI-]M s),mbolleanilidate;iras amprlitudePDF whic.his function of the nutntrnrof eandidatrlsn, error clbriveclgl+Rtu. is also the function of n, ancl it earr be used for estimation of theoretic,al performanoe.In this paper, the side infbrtration is assumeilrlot to be elroneousfor analyzing the pgle efi'eetof Llultipie Lanclidates.r,i,econcluclethat 1.hern,u't: the eaiiclidates"not only the better papf. rcduction p*r'hrrrr,on"e,but also therbetter error perftu'll1alloeuucierthe assumptionOf side iulbrnrationtransmissionr;,iithouterror, and at the expenseof cortputational cornpiexit5'forrt IFF'| eirc,uits. . l A t i u S . 72 2 , . 2 ( ) t ? . PTjRFORMANCE ANAI.YSIS OFPEAK-rO -AVElrAGEr,rtrila;[*r r{EDU("f toN 'tB(IHNTQUES rN MITVO"OFDM wrr{ELESri RltFfltu{Ncp]s r, E Nauwelaers, A. 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Fisr:her',"Parlial transmitssequencesfbr peak-to-averag*power ralio reduction in muiti antenna OFIJM", EUI{ASIP Journal on Wireh:ss Communications and l.letworking.vol. 2008.Article ID 32582q,2008. 7, $. FI. Muller a-ndJ, S. Hr.rtrer""Cornparisonof peak power reduction seheruesfor OFDN4",in '9'l), pp, I-'5, Prcrceedings of the lBiJi: Global ConmrunicationsConf'erence(GI-,ORtrCOM Noveiritrer' 1997" 8. 1{.F.I{. Fischer," Feal<""1o-Avelase in OITDVI based ou l-attice Jlccir-rction Power Ratio Decociing",trn 1t!' Int. CI.-DhA\triorkshop, I{amtrurg,Germany,August:1006" p()werratio of f . i?, W. llauml, R. I;. Ftr.Fischer,and.l. B. I{r.rber,"fteducingthe peak-to"'average inuiticarrierrnocluiatiorr by selectedmapping",HlectronicsLetters,val^ 32, no.22, pp. 2056-' 2A5'7,19q6. 'oOF'Dh/iFAFR reductionusing 10. R. I(, I{rroo,S, Y. l-,eCoff, f.l, C. 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Jones, Coding'Sch<:me Wilkiilsern,S.K..[Xartoir;," 'fransmission Schcine", Eiectr. I-r:rtters,pp. 2A98-2099. iinvelcrpePora'erRatio of Multicarlier llec. i 994. 15.h4. Ilreiling, S.11.Ir4"riiler*Weinfurtner. .1.8,Huber," SLN'I Feak-PowtlrReduetionwithout I::<plicitSidehifonnation", IEEij Corrrm.Lette 16.R,F,H. llischer."Peah*to-Arzcrag;e ForverRati I)ecoding",In t*: Int. OFDM Workshop,Har i7. ^I,Jiang,R,M. Buch'er, W.Fl. fr:anter."Peak OFDIVIWilelessSystem tjsing NoniinearPi Nov./Dec.2.004. 18.B.ii. Krongold, D.i,, Jones;" An active-setapproachfor ()FDM PAPI{. l'eduetir:nvia tone . reserv;rtion", lEliE'1'r. Sigr:a.lProc,,pp. 495*^5 19.7,.Latinovie,Y. Bar-Ness."SFBC VIIMO"OI I'olyphone Intr:lieerrring and Inversir:n",IFjEI '20.Y,-T,. Lee, Y,-FL You-,W,-G. Jeon,,"1.-FL Pai! MIA4O..OF[.]MSystemsUsing SelectiveiV{ai 249'.3 198 . r A { . J E1S. 2. . 2 . 2 0 1 2 'ftic]-lN jES PEItFOt{lvlANC E Alr,rrl.YSiS OF PEAI(_TO-AVERAGEPOWERRATIOREDUCTION K}t tN MIMO-OFDMWIREt.ESS 21. A.E. Jones,T.A. Wilkilrs<;n,S.K, Barton;," Coding Sehemefor Reductionof Peak to Mean FlnvelopePor,,relItatio of Multiearrier TrairsmissionScheme""El*ctr. Letters, pp. '2A98-2099, llec, I994 22. J. Jiang,IE.M. BuchLet,W,F{. l'r'anter."Peakto Avelage PorverF'.atioli.eductionfor MIMOOFDI\4\l/irclessSystern {JsingNollilear pr:oceedirig", in GLOBI-jrilOIr4 ?004,pp. 3989 3993, Nov./Dec.2004. ;13,M,-S, IJaek,M. .]. Kiil, Y. I.l. You, l'{, Ii. Song," Serni-IllindCharurel L,slimationand PAPR Reductionfor MIMO- OFIJM SysternWith Multiple Antennas",I,EEE l'. I}'oadcasting,pp. 414 42.4^ Dec.2004 'Olilage Anel5rsis 24. W.-y. Shin^ S.-Y. Chr.rn64, V.H, Lee, fbr MIMO ftician Channeisand (-lhanrrels (lSI", rvith Partial in hrtern.Symp.on Inf. .i'heor"y 2006.Seattle" \Mz\,Jr-rly2006. 7 22.2Ol?. .lALrl-rs. ;-D,l U l clsu.l =J gr.. r.\*gJ l g th.nl l ql=o \ Jo u r nal of Al Azhar l..lnivensity Engineer ingSecto n --- Ilist'lfl'-gg -=---'-'----=--_--- Editor - in- Chief Pr of. Dr . El- SaidA. Othman 11- 8 - 2A11 Dr" SaharAtrdel-Idahman Facultyof Shoplalingineering, Banhauniversity, Dn. SaharAbdel- Itahrnan I am pleasedto inform you that your manuscriptentitled ANALYSISOF PEAK-TO-AVERAGE PERFORMAhICE !N MIMO-OFDM THCHT{IQ["'HS R.EDUGTEON POWffiF'T R.ATIO SYSTEMS WIRELHSS hasbeenacceptedfor publicationin Journalof A1 AzharUniver:sitylingineelingSector, andhasbeeupassedon to the pless. JAUI1,S, o.f attd.foryoLII'support suclianexcellentstucly Thank you for sLrbnritting AI Azhur UniversitltIittgineeringSectorJoutnul. Sin,cerelyyoars, Pr of.Dr . En- SaidA. Othn' lan Editor-in-Chief J--ijYi 4&l+ -: esell F a c u l t yo f E n g i n e e r i n gA, l A z h a r U n i v e r s i t y Nasr City 11371,Cairo Esvpt \ \ lV \ .e.rr pll i^jl - 6 lil) - ,;.!l ;* Tel: + (202\ 24029873 Fax: 'r"(202) 22601706 E-mail:El_asmy_m@yahoo.com j,...4l 4$ {iil" !.U0.+