JOURNALOFXI ANJIAOTONG UNIVERSITY Vol.46 No.10 Oct.2012 犖犪犽犪犵犪犿犻犿, ( )-/<= ) : Nakagami 犿!"#$%&' # (#$)+,-./0(EPA

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1 JOURNALOFXI ANJIAOTONG UNIVERSITY Vol.46 No.0 Oct.0 犖犪犽犪犵犪犿犻犿, )-/*<= 4>?@AB-C.DE,7007, ) : Nakagami 犿!"#$%&' # #$)*+,-./0EPA) -., :;.SER) -./0<=OPA).>?/@ " A A5FGH, IJKGH SER LMNO, -. P,K-. /0QRD! P S HT, JU VWXY O S H A T, 4C -. ZD! " Nakagami 犿 -./0<=.[\]^_`: abepa <=,Cb c ) a P",OPA /0<= db c, c 5.!": ;%&' ;-./0; c #$ %&:TN9 ' :A ' &:053?987X0)0?0078?05 犃狀犗狆狋犻犿犪犾犘狅狑犲狉犃犾狅犮犪狋犻狅狀犛犮犺犲犿犲犳狅狉犆狅狅狆犲狉犪狋犻狏犲犆狅犿犿狌狀犻犮犪狋犻狅狀狊犗狏犲狉犇狅狌犫犾犲犖犪犽犪犵犪犿犻犿犉犪犱犻狀犵犆犺犪狀狀犲犾狊 GONGFengkui,YEPeng StateKeyLaboratoryofIntegratedServiceNetworks,XidianUniversity,Xi an7007,china) 犃犫狊狋狉犪犮狋 :Anoptimalpoweralocation OPA)schemeisproposedtosolvethepowerresource wasteproblem betweensourceandrelaynodesforacooperativecommunicationssystem with singledecode and forwardrelayoverdoublenakagami mfadingwhichiscausedbyequalpower alocationepa).theproposedschemebasesonminimizingsymbol error ratio SER).First, theasymptoticserisanalyzedandthensimplifiedinthesocaledtypicalcondition.then,the poweralocationproblemisformulatedasatypicalconvexoptimizationproblem withtheseras theobjectivefunctionandtherestrictionofthesum powerastheconstraincondition.the Lagrangemethodisusedtosolvetheoptimizationproblemtoobtaintheclose formoftheoptimal poweralocationinthesocaledtypicalcondition.simulationsandcomparisonswithepashow thatinabigrangopacanobtainthesignaltonoiseratio SNR)gainaboutdBoversome channelcondition,andthatthegainisconsistentwiththetheoreticalsnrgain. 犓犲狔狑狅狉犱狊 :cooperativecommunication;decode and forward;poweralocation;signaltonoise ratiogain -C [?] FGH IJKDL,MNO MIMO PL QR, STUVW XY. ZKDL [\,]^_ ` abc decodeand :0?0?08. : 979-),,!,"#$%&. ' : )*' +, 60007,6045,6044); )-./0 ' +, 0ZX030007?004); ' ) , K ) :0?07? :;:htp:

2 0, :. Nakagami 犿 G 79 forward,df) / amplifyandfor ward,af) bc cdecodeandre code,dr) 3O [3]. -C / X ], G G P. L, [ G L ZKD 9L V L A [4?6]. [4]. RayleighY [ AF G P, JI 9L. [5?6] Nakagami 犿 [ DF G L P, F P L, MN. [7]. Nakagami 犿 P, F. ^, GH SER) \ [7], N6 LSER \,ST b 6,. Nakagami 犿 [ DF G PL L \b.a LA, 6 L %6>? R.G H,,!" PLSER. P[ L T DF G P#$JK D 犛 ) $ LKD 犇 )^@$ KD 犚 )% &.' KDF L,^ [\,.$8, 犛 ^ 犘 0 L KD 犇 ) * 狓, KD+,;$8 V 3$8, KD 犚 -.VL ^ 犘 V 犇 ; /, 犇 -3$8.VL / = maximumratiocombining,mrc),stm N09.T PL[, 犺犻犛犇犚犇 LY, 犻 { 犛犇, 犛犚, 犚犇 }, S. Nakagami 犿. a L. Nak agami 犿 Y 3, 4 Y 犿犻 0.5, 犿犻 / Y , : ; a 犿犻,= 犿犻,= 犿犻, 犻 { 犛犇, 犛犚, 犚犇 }L 56, 8,]^. Nakagami 犿 %6. SNR)L [] " T G P[.<=,> 犕 PSK?@8, A T PL SER a \ [7] 狆 DF,e =α 犆犛犇, 犽 - 犿犛犇犛犇,0 + 犽 = -α) 犚犇, - 犿犛犇犛犇,0 ) \:α= 犆犛犚, 犽 - BcC ; 犽 = 犻, 犼 = 犘犼 Ω 犻,Ω 犻,/ 犖犻犼 {0,}), Ω 犻, 犽 Y D, 犽 {,}; 犮犾, 犽 )= - 犾犾犆犛犇, 犽犆犚犇, 犆 ; 犚犇, 犆犻, 犽 = [Γ 犿犻,3- 犽 )/Γ 犿犻,3- 犽 )] 犵 / 犿犻, 犿犻,) - 犿犻, 犽犉 θsin 犿犻, 犽 θ),γ ) E, 犵 =sin π/ 犕 ), 犉 θ 狓 )= π 犕 -)π/ 犕 0 狓 dθ.# 犿犻,= 犿犻,8,Γ 犿犻,- 犿犻,) F/, ] 犿犻,- 犿犻,=Δ 犿 Δ 犿 F $ G8LH, Δ 犿 =0.00) IJ 犿犻,= 犿犻,. < LKL M [7]NV?. N O L )*+,- G P, *,PJ Q>, < RS T +JL U,VF W X YL56. K:; N 犘 t LW X L, PL SER 8, 8 ]^ a A 8H min 狆 DF,e, 犘 0+ 犘 = 犘 t ) \: 犘 0 犘 aj L. A L 8H L b,z F[\MN L \b.a, ] : KD JKD^_, PL 犛犚 WX `, Bc KL, N PSER] a\)la. L \ F /, - ) / `, b c A. \36LF, ' 犛犚 >[L56

3 80 G / * * 46 :;\)La, A., 犛犚 >[8,S P[ ]^ Qa. Nakagami 犿 L MIMO[, L ]^ V L. Nakagami 犿 L MIMO P. :;\)La 8, P LSER]^ a 狆 DF,e = 犽 = 犾 =0 犚犇, - 犿犛犇犛犇,0 3) >? L b.-\3) A 犘 L, 犘 %, >/a 犿犛犇 - 犛犇,0 d 狆 DF,e d 犘 = ) 犮犾, 犽 ) - 犿犛犇犛犇,0 - 犚犇, - d 犚犇, [ 犚犇, + d 犘 d 犛犇,0 d 犘 ) + - 犚犇, - d 犚犇, 犛犇,0 犛犇,0 + d 犘 d 犛犇,0 犿犛犇犚犇, d 犘 ) ] 4) ]c,\4)] F\3) $/ 0L \, PN d 狆 DF,e >0&., L [8], d 犘 N LWX, A H../0 K GH R [9] H. ] 犑 = 狆 DF,e-λ 犘 + 犘 0- 犘 t) 5) - 犑犘 0 犘 λ %, a0,nv 犮犾, 犽 ) 犚犇,) - - 犿犛犇 ) 犛犇,0) - 犿犛犇 -d 犛犇,0 d 犘 0 =0 6) 犮犾, 犽 )- ) 犚犇,) - - d 犚犇, 犛犇,0) - 犿犛犇 =0 7) d 犘犘 + 犘 0- 犘 t =0 8) \6) \7),]N6 犘 0 犘 A \ 犿犛犇犘 = 犘 0,I \8)/]^NV 犘 0 = 犘 = 犿犛犇犘 t 9) 犘 t 0) #\9) \0)]c, L \bf $ L\,I 8 * A, I A. 3 as>? MNL, K 6 L, N 8, Pa V3 SER 3 犘 DF,e, \ L 8 D G 狆 DF,e)= EPA 狆 DF,e)-OPA 狆 DF,e), adb.' PN a 犘 t, \9) 0) \3),SER a 狆 DF,e 8,OPA R EPA R \L 8 a OPA 狆 DF,e)= 0 + 犿 ) 犛犇 l[ g 狆 DF,e) - 犽 = 犾 = 0 - 犿 Ω 犚犇,Ω 犚犇, 犚犇 - 犿犿犛犇 Ω 犛犇,Ω 犛犇, 犛犇 0 EPA 狆 DF,e)= l g [ 狆 DF,e) - + 犿 ) 犛犇犽 = 犾 = 0 - 犿 Ω 犚犇,Ω 犚犇犚犇 - 犿 Ω 犛犇,Ω 犛犇犛犇,),) ]NV G =0lg- 0 犿犛犇 + 犮犾, 犽 ) )] 犮犾, 犽 ) )] lg ) 犿犛犇 ) 犿犛犇 ) ) ) 3) # \]^ 6, SNR /8, MNL I 狆 DF,e,? P SER D F `,GH MNL /8', L W SER F L,< D / L -NV E. K> Z L >?. 9 7, Y DΩ 犻, a, PN 犘 t=, an I LH, = 犘 t/ 犖 0., 犘 0= 犘 = 犘 t/=0.5 犘 t, > \9) \0) L. Y,, CH~CH3 A A

4 0, :. Nakagami 犿 G 8 WX%LKL ; CH CH4 CH CH5 CH6 CH9 P. X amatlab, : 3$ P WX?L. _ O CH CH CH3 CH4 CH5 CH6 CH7 CH8 CH 犿犛犇 >?SNR I LA PLSER.S CH CH]^ 6: - ) / 8,SER \3) \)F =L, IE =;,S CH3]^ 6, AWX8,SER L \3) \)F =L, ST A %L L WX /, - ) / `<? L K L. CH CH4,CH CH5]^ 6, L/8 =! "L 8, F 犿犛犇 P SER /. 3 >?SNR L. CH8L F.=L,< \ - ) /,P PL 8, SNR I 犿犛犇 - A,I ' A. CH CH7 CH9,]^ 6, \ 犿犛犇 - / ]MN,I 犿犛犇, /8 A., 4L RS, L L ' F L,ST.3KA >? SNR I PSER A L?LKL. S 3]^ 6, L/8 犿犛犇 -, 犿犛犇 - /,MNL /,T 犿犛犇 - 8, 犿犛犇 /, MNL 8. 4 I 4 PLSER I L P 4.GH 4 CH 犅 DI 3 CH 犃 DL ], OPA EPA MNL a 0.9dB,ST MNL I>? L ' =. CH CH6 CH CH7] : 犿犛犇 - 8,M N L 8;CH GH %6L PSER \,N6 L>?bL \ \, ' %6 MNL SNR >?H.? GH K L. ' : [] LANEMANJN,TSEDNC,WORNELLG W.Co operativediversityinwirelessnetwork:efectivepro tocolsandoutagebehavior[j].ieeetransactionson InformationTheory,004,50):306?3080. [],, *. /

5 8 G / * * 46 [J]. G/**,00,448): 53?57. RENPinyi,WEILi,LIAO Xuewen.Acooperative diversityprotocolwithincrementalselectionandampli fyforwardopportunisticrelaying[j].journalofxi an JiaotongUniversity,00,448):53?57. [3] NOSRATINIA A,HUNTER T E,HEDAYAT A. Cooperative communication in wireless [J].IEEE CommunicationMagazine,004,40):74?80. [4],,,. UY AP G P [J]. )-/**, 00,537):947?95. LIZhaoxun,LIFeng,WU Guofeng,etal,Symbol eror rateanalysisinap relayedinter vehicularcom municationsystemoverdouble Rayleighfadingchan nels[j].journalofxidianuniversity,00,537): 947?95. [5] LEE Y,TSAI M H.Performanceofdecode and forwardcooperativecommunicationsovernakagami 犿 fadingchannels[j].ieeetransactionsonvehicular Technology,009,583):8?8. [6] LEE Y,TSAIM H,SOUSI.Performanceofde code and forward cooperative communications with multipledual hoprelaysovernakagami 犿 fadingchan nels[j].ieeetransactionsonwirelesscommunica tion,009,86):853?859. [7] GONG Fengkui,GE Jianhua,ZHANG Nan.SER analysisofthemobile relay basedmmcommunication overdoublenakagami 犿 fadingchannels [J].IEEE CommunicationLeters,0,5):34?36. [8] BOYDS,VANDENBERGHEL.Convexoptimization [M].Cambridge,UK:CambridgeUniversityPress, 004. [9] FARHADI G,BEAULIUE N C.Power optimized amplify and forwardmulti hoprelayingsystems [J]. IEEETransactionsonWirelessCommunication,009, 89):4634?4643. A S.K], :;L ] a: KD JKD^_, P 犛犚 WX `, Bc KL, N P SER :;\)La. % Y L\, \)I\3) =L WX., 犛犚 WX `, Y G8, 8 /. /8,\)] a \ 狆 DF,e = 犽 = 犾 =0 犚犇, - 犿犛犇犛犇,0 { } 犚犇 + [, 犆犚犇,+ 犆犚犇,) - ] α 犚犇, - 犿犛犇犛犇, [ 0 + 犆犛犚,+ 犆犛犚, 犚犇, 犆犚犇,+ 犆犚犇, 犛犚, 0 ] A) \A)] a 56?: 犚犇, 8, 犆犛犚,+ 犆犛犚, 犚犇, 犚犇, -, a 7 犆犚犇,+ 犆犚犇,, ^ - )<08, [ + 犆犛犚,+ 犆犛犚, 犚犇, 犆犚犇,+ ] 犆犚犇, 犛犚, 0, \3) \)G =; 犚犇, 犆犛犚,+ 犆犛犚, 犚犇,> 8, 犆犚犇,+ 犆犚犇, 犚犇, > - =, a, ^ - )>08,]^ 犆犛犚,+ 犆犛犚, 犚犇, 犆犚犇,+ 犆犚犇, -F $ / L,<8\3) )- DG/. ^,\ 3) ) =LWXF /, - ) / =N `,< F Y L WX. [ 3 ' 45],,.!"# $%&' &.0,464):83?87.,)*,+.,-./0 # ,43):33?37. 56,789,:;,.,- <#=>&?.009,43):8?85. 5@,:AB,CDE. 3.0,466):?6. 0 #0%, F,:B.GHIJ&'#KLM N?.0, 458):9?96. O, 8,,.PHQRSTUV#WX Y?.0,468):94?99.,,Z[\,]^_.,-`abc # 4.0,464):00?05. :, 8,.PH => # S?.0,46):4?9. )

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JOURNALOFXI ANJIAOTONG UNIVERSITY Vol.46 No.10 Oct.2012 犖犪犽犪犵犪犿犻 犿, ( )-/*<= ) : Nakagami 犿!"#$%&' # (#$)*+,-./0(EPA

JOURNALOFXI ANJIAOTONG UNIVERSITY Vol.46 No.10 Oct.2012 犖犪犽犪犵犪犿犻犿, ( )-/<= ) : Nakagami 犿!"#$%&' # (#$)+,-./0(EPA