Analytical Expressions of Power Spectral Density for General Spectrally Shaped SC-FDMA Systems
7
0
0
Texte intégral
(2) Open Archive TOULOUSE Archive Ouverte (OATAO) OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible.. This is an author-deposited version published in : http://oatao.univ-toulouse.fr/ Eprints ID : 12543. The contribution was presented at EUSIPCO 2013 : http://www.eurasip.org/Proceedings/Eusipco/Eusipco2013/. To cite this version : Benammar, Bouchra and Thomas, Nathalie and Boucheret, Marie-Laure and Poulliat, Charly and Dervin, Mathieu Analytical Expressions of Power Spectral Density for General Spectrally Shaped SC-FDMA Systems. (2013) In: 21st European Signal and Image Processing Conference (EUSIPCO 2013), 9 September 2013 - 13 September 2013 (Marrakech, Morocco).. Any correspondance concerning this service should be sent to the repository administrator: staff-oatao@listes-diff.inp-toulouse.fr.
(3) )%62# %T 5,/ 00#*)0T* T ,*3 /T0, 2/%T )0#26T */T ! ) /%T 0, 2/%%6T 0", T 0 'T0602 '0T IN;@J:T>H9FF9JT (9L@9DB>T 1@IF9KT &9JB>$9NJ>TIN;@>J>LT @9JDQT+INDDB9LT 9H=T&9L@B>NT >JOBHMT T $ !"%( ( # #!(
(4) .
(5)
(6)
(7) ( !( ( ( # #!(. ( & # "" ! # # " % #"' !" ( "# $ "! ! (. ,. G[ Q?AP[ UINB[ %IU5N[ 'J52QN0C[ 5GPAQW[ %'[ I6[ 4A85N5GQ[ AEY JC5E5GQ0QAIGP[I6['AG=C50NNA5N[ N5MS5G2W[ATAPAIG[ SCQAJC5[ 225PP[ ' [ 0N5[ AGT5PQA=0Q54 [ ANPQ[ 0[ =5G5N0C[ EI45C[ I6[ PJ52QN0CCW[ P?0J54[ ' [ QN0GPEAPPAIG[ P2?5E5[AP[ JNIY JIP54 [ (?AP[ P2?5E5[ AP[ P?IUG[ QI[ 5G2IEJ0PP[4A85N5GQ[AEJC5Y E5GQ0QAIGP[ I6[ ' [ AG2CS4AG=[ Q?5[ 2C0PPA20C[ IG=[ (5NE[ TICSQAIG[ ([ ' [ U0T56INE [ (?5G[ 0G0CWQA20C[ 5VY JN5PPAIGP[ I6[ %'[ 0N5[ 45NAT54[ 6IN[ 1IQ?[ CI20CAP54[ 0G4[ AGQ5NY C50T54[ [SPAG=[IN[GIQ[PJ52QN0C[P?0JAG=[Q52?GAMS5P[10P54[ IG[Q?5[06IN5E5GQAIG54[=5G5N0C[' [PWPQ5E[EI45C [ AZ G0CCW[0G0CWQA20C[N5PSCQP[0N5[T0CA40Q54[Q@NIS=?[2IEJ0NAPIG[UAQ?[ PAESC0QAIG[5PQAE0Q54[%' [ , ,. !5U[=5G5N0QAIG[EI1AC5[G5QUINBP[PS2?[0P[ ( TICT54[)GAY T5NP0C[(5NN5PQNA0C[&04AI[ 25PP[ )(&[N5MSAN5[1IQ?[CIU[C0Y Q5G2W[ 0G4[ ?A=?[ PJ554[ 40Q0[ 2IGT5WAG= [ IU5T5N[ Q?5[ EI1AC5[ N04AI[ 2?0GG5C[ PS665NP[ 6NIE[ GQ5N'WE1IC[ GQ5N65N5G25[ 4S5[ QI[ 4A85N5GQ[ 604AG=[J?5GIE5G0[0NAPAG=[6NIE[ ESCQA[J0Q?[ JNIJ0=0Y QAIG [ [ G0QSN0C[ PICSQAIG[ QI[ Q?5[ 6N5MS5G2W[ P5C52QATAQW[ I6[ Q?5[ 2?0GG5C[AP[QI[SP5[ESCQA20OA5N[QN0GPEAPPAIG[P2?5E5P[ PS2?[0P[ [ ,5Q[ SGCAB5[ PAG=C5[ 20NNA5N[ QN0GPEAPPAIGP[ Q?5[ ;S2QSY 0QAIGP[ I6[ ESCQA20NNA5N[ PA=G0CP[ C504[ QI[ ?A=?[ %50B[ QI[ T5N0=5[ %IU5N[ &0QAI[ %%& [ (?AP[ AEJCA5P[ SPAG=[ 0[ 102BI8[ QI[ Q?5[ P0QSN0QAIG[ JIU5N[ I6[ Q5NEAG0CP[ 0EJCA:5NP [ (?SP[ 5G5N=W[ 2IGY PSEJQAIG[AP[45=N0454[0G4[Q?5[PWPQ5E[AP[GIQ[0QQN02QAT5[AG[Q5NEP[ I6[ 10QQ5NW[ 0SQIGIEW[ I6[ Q?5[ )P5N[ MSAJE5GQP[ ) [ IGP5Y MS5GQCW[ 20G4A40Q5P[ QI[ ([ SJCAGB[ J?WPA20C[ C0W5N[ G55454[ QI[ ?0T5[CIU[%%&[U?A2?[AP[Q?5[20P5[I6[' [0CPI[N565NN54[ QI[0P[AP2N5Q5[ ISNA5N[(N0GP6INE[ (PJN504[ $ [ .
(8) / [ ' [AP[10P54[IG[0[ ([JN52I4AG=[I6[$ [PWE1ICP[ U?A2?[5GPSN5P[CIU5N[%%&[2IEJ0N54[QI[$ [ (?5N5[0N5[ QUI[ QWJ5P[ I6[ ' [ PWPQ5EP[ 4A85NAG=[ AG[ Q?5[ U0W[ ([ ISQJSQP[0N5[E0JJ54[AGQI[Q?5[PS120NNA5NP [ (?5[ I20CAP54['Y [ U?A2?[ AP[ N565NN54[ QI[ 0P[ [ 2IGPAPQP[ I6[ E0JY JAG=[Q?5[ ([ISQJSQP[AGQI[0[1CI2B[I6[2IGP52SQAT5[PS120NNA5NP [ (?AP[ E0JJAG=[ AP[ Q?5[ IG5[ 2?IP5G[ AG[ ( [ [ P52IG4[ E0JJAG=[. 20CC54[ APQNA1SQ54[ [ 4APQNA1SQ5P[ Q?5[ ([ ISQJSQP[ AGQI[ PS120NNA5NP[IT5N[Q?5[5GQAN5[10G4UA4Q?[0G4[ U?5G[ Q?5[PJ02AG=[ 15QU55G[PS120NNA5NP[AP[2IGPQ0GQ[AQ[AP[20CC54[ GQ5NC50T54[ [ [ ?0P[ CIU5N[ %%&[ Q?0G[ [ IU5T5N[ [ ?0P[ GIQ[ 155G[ P5C52Q54[ 1W[ ([PQ0G40N4[ PAG25[ 0[ :G5[ PWG2@NIY GAP0QAIG[I6[ 0CC[SP5NP[AP[ N5MSAN54[ U?A2?[AP[ ?A=?CW[2IEJC5V[ 6IN[ ESCQAJC5[ 0225PP[ G5QUINBP [ T5G[ Q?IS=?[ ?0TAG=[ CIU5N[ %%&[ Q?0G[ $ [N54S2QAIG[I6[' [%%&[AP[PQACC[ 0[?A=?CW[ 45PAN54[650QSN5 [ 0GW[PQS4A5P[?0T5[155G[454A20Q54[QI[6SNQ?5N[ %%&[ N54S2QAIG [ 'IE5[ I6[ Q?5[ JNIJIP54[ PICSQAIGP[ U5N5[ 4AY N52QCW[ AGPJAN54[ 1W[ Q?5[ 5VAPQAG=[ $ [%%&[N54S2QAIG[ Q52?Y GAMS5P[PS2?[0P[2IEJ0G4AG=[ . /[0G4[JSCP5[P?0JAG=[AG[Q?5[QAE5[ 4IE0AG[ ./ [ $Q?5N[PICSQAIGP[0N5[10P54[IG[JSCP5[P?0JAG=[AG[Q?5[ <5MS5G2W[4IE0AG[ 2IEEIGCW[20CC54['J52QNSE['?0JAG=[ ''[ ./[ ./[ IN[ EIN5[ =5G5N0CCW[ JN52I4AG=[ ./ [ 'J52QNSE[ '?0JAG=[ N54S25P[Q?5[%%&[1W[UAG4IUAG=[Q?5[ ([ISQJSQP[156IN5[15Y AG=[E0JJ54[IGQI[PS120NNA5NP [ IU5T5N[ QI[ Q?5[ 0SQ?INP[ BGIUC54=5[ GI[ Q?INIS=?[ 0G0CWPAP[ I6[ Q?5[ JIU5N[ PJ52QN0C[ 45GPAQW[ I6[ ''' [ PWPQ5EP[ ?0P[ 155G[ JN5P5GQ54[ AG[ CAQ5N0QSN5 [ ,5Q[ BGIUAG=[ Q?5[ PJ52QN0C[ 45GY PAQW[AP[I6[J0N0EISGQ[AEJINQ0G25[6IN[SP5NP[PS120NNA5N[0CCI20QAIG[ ./[0P[U5CC[0P[6IN[:QQAG=[AGQI[Q?5[0PPA=G54[QN0GPEAPPAIG[E0PB [ $ [%'[0G0CWQA20C[5VJN5PPAIGP[ ./[0N5[GI[CIG=5N[T0CA4[15Y 20SP5[ I6[ Q?5[ ([ JN52I4AG=[ 0G4[ PJ52QN0C[ P?0JAG= [ 5G25[ U5[ G554[ QI[ 45T5CIJ[ 0[ PWPQ5E[ EI45C[ Q?0Q[ UISC4[ 0CCIU[ 6IN[ 0[ =5G5N0C[01PQN02QAIG[ I6[4A85N5GQ[PJ52QN0CCW[P?0J54[' [ AEJC5E5GQ0QAIGP [ +5[ 02QS0CCW[ P?IU[ Q?0Q[ Q?AP[ =5G5N0C[ EI45C[ 5G2IEJ0PP5P[ 0CC[ T5NPAIGP[ I6[ E0JJAG=P[ 0G4[ PJ52QN0C[ P?0JAG=[ 6SG2QAIGP[ I6[ ' [ 0G4[ 45NAT5[ =5G5N0C[ 0G0CWQA20C[ %' [ (?5P5[N5PSCQP[ 0N5[ 2IEJ0N54[ UAQ?[5PQAE0Q54[ PJ52QN0C[ 45GPAQA5P[ I6[4A85N5GQ[' [AEJC5E5GQ0QAIGP [ (?AP[J0J5N[AP[ISQCAG54[0P[6ICCIUP [ '52QAIG[ [JN5P5GQP[Q?5[=5GY 5N0CAP54[ PJ52QN0C[ P?0JAG=[ QN0GPEAQQ5N[ EI45C[ U?A2?[ 0CCIUP[ SP[ QI[ 45T5CIJ[ Q?5IN5QA20C[N5PSCQP[ I6[ %'[ AG[ P52QAIG[ [ 0G4[ PIE5[ 2IEJ0NAPIGP[UAQ?[PAESC0QAIG[N5PSCQP [ G[P52QAIG[[ U5[45NAT5[ Q?5[%'[I6[ [UAQ?[PJ52QN0C[P?0JAG=[156IN5[5G4AG=[UAQ?[ PIE5[ N5E0NBP[ 0G4[ 2IG2CSPAIG [ G[ Q?5[ 6ICCIUAG=[ Q?5[ Q5NE[ VY ([N5PJ [ W ([45PA=G0Q5P[0[ ( IT5N[V[JIAGQP[0G4[ ([ IT5N[W[JIAGQP[N5PJ52QAT5CW [.
(9) 6v.
(10) ! , , C0PPA20C[ .
(11) ! , * \ . ov. [.
(12) ! , , IJWAG=[ G2N50PAG=[C5G=Q?[6NIE[" QI[ G\. [UAQ?[PJ52QN0C[P?0JAG=[" [\ G\ [\ "
(13) ! , -\ . [UAQ?[=5G5N0C[PJ52QN0C[P?0JAG=[ G\. . :y. * \ , ,
(14) ,. Q?5[1CI2B[`y152IE5P[ =y =kyv =Ly U?5N5[ =ky :=DyAP[Q?5['Y [ PWE1IC[ 4SN0QAIG[ 0G4[ =Ly :L=Dy AP[ Q?5[ 2W2CA2[ JN5:V[ 4SN0QAIG [ Q[P?ISC4[15[GIQ54[Q?0Q[Q?5[INA=AG0C[ ([' [U0T56INE[ AP[ 0[ PJ52A0C[ 20P5[ I6[ Q?5[ =5G5N0C[ PJ52QN0CCW[ P?0J54[ [ U?5N5[ Q?5[ P?0JAG=[ :CQ5N[ AP[ 0[ N52Q0G=SC0N[ UAG4IU[ I6[ C5G=Q?[ " 15=AGGAG=[ 0Q[ AG45V[ [ 0P[ 45JA2Q54[ AG[ A= [ [ G[ Q?AP[ 20P5[ Q?5[2IE1AG0QAIG[I6[N5J5QAQAIG[ N52Q0G=SC0N[P?0JAG=[0G4[2W2CA2[ P?A7R[AP[5MSAT0C5GQ[QI[Q?5[PS120NNA5N[E0JJAG=[JN5P5GQ54[AG[ ([ 2C0PPA20C[' [. . CC[6ICCIUAG=[N5PSCQP[0PPSE5[0[EIGISP5N[P2?5E5 [ [2C0PPA20C[ CI20CAP54[ [P2?5E5[ AP[ 45JA2Q54[ AG[ A= [ T\ Q[ 2IGPAPQP[I6[ ([ JN52I4AG=[ I6[ AGJSQ[ PWE1ICP[ 0G4[ E0JJAG=[ Q?5P5[ ISQY JSQP[AGQI[2IGQA=SISP[ U\ ISQ[I6[Q?5[! ([AGJSQP [ 'J52QN0CCW[ P?0J54[ [ AG[ A= [ [ 2IGPAPQP[ I6[ 0G[ 044AY QAIG0C[ 'J52QNSE['?0JAG=[ 1CI2B[0Q[ Q?5[ISQJSQ[I6[Q?5[ ([ U?A2?[ AP[ 0G[ 5C5E5GQ[ UAP5[ ESCQAJCA20QAIG[ UAQ?[ PIE5[ PJ52A:2[ 6N5MS5G2W[ 4IE0AG[ N5PJIGP5[ I6[ )[ P0EJC5P [ 'AG25[ )[ 20G[ 15[ C0N=5N[ Q?0G[ U \ Q?5[ ([ ISQJSQP[ G554[ QI[ 15[ 5VQ5G454[ QI[ N502?[0[C5G=Q?[I6[)[PWE1ICP [ (?AP[IJ5N0QAIG[AP[4IG5[1W[2IJWY AG=[0P[45JA2Q54[AG[ A= [ [ (?5[IJW[1CI2B[?0P[155G[JNIJIP54[ AG[ ./[2IGPA45NAG=[Q?0Q[ U\ [\ G\ [\ " 6IN[N0AP54[2IPAG5[PJ52Y QN0C[ P?0JAG= [ IU5T5N[ AG[ IN45N[ QI[ 022ISGQ[ 6IN[=5G5N0C[ PJ52Y QN0C[P?0J5P[I6[C5G=Q?[)[SJ[QI[![ U5[N5JC025[Q?5[2IJWAG=[1CI2B[ 1W[ 0G[ 6IC4[ N5J5QAQAIG[ U?5N5[ " :y y " AP[ Q?5[ ' [ PJN504AG=[602QIN[ A 5 [ Q?5[E0VAESE[0CCIU54[GSE15N[I6[SP5NP[ 6IN[ :yPS120NNA5NP [ 5G25[ U5[45NAT5[Q?5[=5G5N0C[J?WPA20C[EI45C[I6['' [ 0P[ 45JA2Q54[ AG[ A= [ [ 1CI2BP[ I6[ U\ X5NI[ E50G[ AG45J5G45GQ[ A45GQA20CCW[4APQNA1SQ54[ A A 4[ 40Q0[PWE1ICP[ .U_y 4N0UG[6NIE[0[ 2IEJC5V[ 0CJ?015Q[ I6[ 4SN0QAIG[ =Dy 0N5[ ([ JN52I454 [ (?5[ GIQ0QAIG[
(15) V_y AG4A20Q5P[ Q?5[ PWE1IC[ IG[ Q?5[ WmNy PS120NNA5N[ 6IN[Q?5[ `mNy ' [ QAE5[4IE0AG[ PWE1IC [ G[ 6IC4[N5JY 5QAQAIG[ 0CCIUP[ QN0GP6INEAG=[ Q?5[ C\ PWE1ICP[ AGQI[ ![ PWE1ICP[ Ft_y U?A2?[ 0N5[ Q?5G[ 6N5MS5G2W[ P?0J54[ 1W[ 0[ =5G5N0C[ QN0GPY 65N[ 6SG2QAIG[ I6[ ![ P0EJC5P[
(16) KUy (?5[ :y N5PSCQAG=[ PWE1ICP[ @U_y Ft_KUy0N5[Q?5G[2W2CA20CCW[P?A7R54[1W[ ]v P0EJC5P[QI[:Q[ AG[ Q?5[ SP5NP[ 0CCI20Q54[ PS120NNA5N[ AG45V5P[ 15=AGGAG=[ 0Q[ JIPAY QAIG[]v !IQA25[Q?0Q[Q?5[2W2CA2[P?A7R[4I5P[Q?5[P0E5[NIC5[0P[PJ52Y QN0C[E0JJAG=[AG[2C0PPA20C[ [5V25JQ[Q?0Q[?5N5[Q?5[PA=G0CP[ QI[15[E0JJ54[?0T5[C5G=Q?[![U?A2?[5VJC0AGP[U?W[U5[N5PINQ[QI[ 2W2CA2[P?A7RAG=[QI[ E0J[ Q?5[ PWE1ICP[ AGQI[ Q?5[ ! ([ 5GQNA5P [ G[IN45N[QI[0CCIU[6IN[;5VA1C5[PJ52QN0C[E0JJAG=[ ]v AP[GIQ[G52Y 5PP0NACW[ PSJJIP54[ ESCQAJC5[I6[
(17) " 7R5N[ ! ([ JNI25PPAG=[ 0[ 2W2CA2[ JN5:V[ I6[ C5G=Q?[ :LyAP[ 0JJ5G454[ QI[ Q?5[ 15=AGGAG=[ I6[ 502?[1CI2B[`yI6[C5G=Q?[:y (?5[ISQJSQ[P0EJC5P[0N5[Q?5G[J0PP54[ Q?NIS=?[0G[A450C[4A=AQ0C[ QI[ 0G0CI=[2IGT5NQ5N [ (?5[4SN0QAIG[I6[. . . +?5G[ 0[ N0AP54[ 2IPAG5[ &[ PJ52QN0C[ P?0JAG=[ UAQ?[ 0[ GIGX5NI[ NICCI8[AP[ SP54[ Q?5[ ISQJSQP[ I6[ Q?5[ PJ52QN0C[ P?0JAG=[ ?0T5[EIN5[Q?0G[ yGIG[X5NI[5C5E5GQP[0P[45JA2Q54[AG[ A= [. . , ,
(18) , , , ,
(19) ,. IN[Q?5[6ICCIUAG=[Q?5IN5QA20C[N5PSCQP[ GI[?WJIQ?5PAP[01ISQ[Q?5[ PJ52QN0C[ P?0JAG=[ 2I56:2A5GQP[ KUy 0N5[ E045 [ (?5[ QN0GPEAQQ5N[ ISQJSQ[PA=G0C[ r
(20) yny20G[15[5VJN5PP54[0P[6ICCIUP [. . rHny. . $\. ;Yv. . U :y_+by +<y. . O
(21) ny`=y.
(22) [ U?5N5[ /= X =ky AP[ Q?5[ PS120NNA5N[ PJ02AG=[ O
(23) yny AP[ 0[ N52QY 0G=SC0N[ 6SG2QAIG[ UAQ?[ 4SN0QAIG[ =y 0G4[ ,v Ev -v;v 45PA=G0Q5P[ 0[ EI4SCI[ :y 6IN[ Ev 1v K \ (0BAG=[ AGQI[ 022ISGQ[ Q?0Q[ Q?5[ ISQJSQP[ Ft_y F*U-;_y Q?5[PA=G0C[ rHny20G[15[PAEJCA:54[0P[6ICCIUP[. . . . r
(24) ny. $\. . $\. . ;Yv. _ qU_I!T#g*Ui-;/m >e O
(25) n C`=y U :y_+by +<y ;Yv. _ F y _y:\UyI!T#g*Ui-;/m >My
(26) ny`y=y :y_+by U+<y U . =Yv. f+<y Ff_Kui
(27) n `=y _+by. T. [.
(28) 4v. 0P[6ICCIUP [. <C
(29) GT. 0Ar
(30) nr
(31) ny?By \4y \4y ". :v. . v. +byf +<y Kui
(32) ny`=K% i
(33) ny?y` =y \4y Kui
(34) n `=K& i
(35) n ? `=y _xby fx<y ". ?CT. . v v. v v. . v .v v. . v v. =. (?5[5VJ52Q0QAIG[0G4[0SQI2INN5C0QAIG[I6[Q?5[PA=G0C[ r
(36) yny T5NA6W[ 0Ar
(37) ynBy X\ 0G4[ PPT
(38) ny?y AP[ (J5NAI4A2[ AG[ ny (?SP[ r
(39) yny AP[ 2W2CIPQ0QAIG0NW[0G4[ U5[20G[45:G5[0[PQ0QAIG0NAX54[0SQI2INN5Y C0QAIG[6SG2QAIG[-PPT
(40) y?y0P[[. . . #v \/ Xv.
(41) ! , , . _ f+<y _+by. v v. [U0T56INE[UAQ?[N52Q0G=SC0N[PJ52QN0C[P?0JAG=[ 2v 0v v. v v. [ v v. #=Ku^y
(42) nyK' ^y
(43) ny?yFnyAP[Q?5[0SQI2INY N5C0QAIG[6SG2QAIG[I6[Q?5[5MSAT0C5GQ[:CQ5NP[ Ku^y
(44) ny (?SP[ Q?5[ JIU5N[ PJ52QN0C[ 45GPAQW[ I6[ r
(45) yny U?A2?[ AP[ Q?5[ ISNY NA5N[(N0GP6INE[I6[Q?5[0SQI2IO5C0QAIG[6SG2QAIG[.PPT
(46) y?y[20G[15[ U?5N5[
(47) ?y. . v v. v. . UNAQQ5G[0P[6ICCIUP [.
(48) ! , 3\ &0AP54[2IPAG5[PJ52QN0C[P?0JAG=[ISQJSQ[. U?5N5[Q?5[C0PQ[5MS0CAQW[N5PSCQP[6NIE[Q?5[S2CA450G[4ATAPAIG[I6[ S\ 0P[ cy"" UAQ?[K[ ! \ "" " 0G4[ " ! \ yy " 0G4[. . . U?5N5[U5[45:G5[Q?5[5MSAT0C5GQ[:CQ5NP[Kuiy
(49) ny0P[[ 5Yv. d Kuiy
(50) ny Kd\yfI!T#g*f \yi-;yNV\O
(51) yny dx<y. . [. . $T`Ue v "dxay Ed_I u [ (?5[ FQ5N2INN5C0QD#G[ Q?5[ X5NIE50G[ PWE1ICP[ FU_yU?5N5[ S\ ! \ \U\ " P0QAP:5P[ . . "($ yKd\f2
(52) J ,v "" ""]v -v9v SJy 0N5[Q?5[QN0GP65N[6SG2QAIGP[I6[:CQ5NP[ Kuyiy
(53) ny. . , &&"! )!%$, )%,
(54) , +!) , ' )$ *"', (& )'*#, ( &!$ ,. G[ IN45N[ QI[ 2IEJSQ5[ Q?5[ %'[ I6[ r
(55) yny Q?5[ PQ0QAPQA20C[ JNIJ5NY QA5P[ I6[ Q?5[ ([ ISQJSQP[ FU_y 0N5[ G55454 [ 'AG25[ FU_y 0N5[ Q?5[ ([ ISQJSQP[ 6IN[ Q?5[ A A 4[AGJSQP[ .U_y U5[ ?0T5[ FU_y <Yv. U?5N5[ 1s^y
(56) Jy. . G[ Q?AP[ P52QAIG[ U5[ 0N5[ AGQ5N5PQ54[ AG[ Q?5[ %'[ I6[ Q?5[ 2C0PPA20C[ [ U0T56INE[ U?A2?[ 2IGPAPQP[ I6[ 0[ N52Q0G=SC0N[ PJ52QN0C[ P?0JAG=[UAQ?[0[N5PJIGP5[I6[C5G=Q?[ y0P[JN5TAISPCW[5VJC0AG54[ AG[ A= [ [ +5[ PSJJIP5[Q?0Q[Q?5[SP5N[0CCI20Q54[6N5MS5G2A5P[0N5[ 0Q[ AG45V5P[ " y
(57) Zyv " Xy G[ Q?AP[ 20P5[ Q?5[ PJ52QNSE[ P?0JAG=[ 2I592A5GQP[ T5NA6W[ KUy " A6[ S\ ! \ y " 0G4[ W\ 5CP5 [ (?5[ P0EJC5P[ @U_y 0N5[ NA=?Q?0G4[ 2W2CA20CCW[ P?A7R54[ 1W[ " AG[IN45N[QI[:Q[AGQI[AG45V5P[3yy
(58) 3y"XyXy (?5[ ]v ISQJSQ[:CQ5N[QN0GP65N[6SG2QAIGP[20G[15[PAEJCA:54[QI[ . . . . . vyQJy S\ S\ `y ` y IZlIpOIhIy. . . [. U?5N5[ vy 0AREd_6!By *K[ `yAP[Q?5[T0NA0G25[I6[Q?5[X5NI[E50G[ AGJSQ[PWE1ICP[ 3LH[ Q[ 6ICCIUP[ Q?0Q[ Q?5[ISQJSQ[ I6[ Q?5[ ([ 1CI2B[0N5[SG2INN5C0Q54[UAQ?[T0NA0G25[ wy yvy 5Q[ PPT
(59) ny?y15[Q?5[0SQI2INN5C0QAIG[6SG2QAIG[I6[ r
(60) yny45:G54[. . . 1s[\y
(61) Jy Kf2
(62) J ,v " -v9v SJy". . . ! \ "" ". [. G[ IN45N[ QI[ 2IEJ0N5[ Q?5[ N5PSCQP[ I6[ [ 0G4[ [ UAQ?[ Q?5[ PAEY SC0Q54[ %'[ I6[ 0G[ [ PA=G0C[ U5[ G554[ QI[ JIAGQ[ ISQ[ 0P[ GIQ54[AG[ ./[Q?0Q[Q?5[QNS5[6N5MS5G2W[QN0GP65N[6SG2QAIG[I6[0[4A=Y AQ0C[ P0EJC54[ N52Q0G=SC0N[6SG2QAIG[I6[C5G=Q?[ "AP[0[ANA2?C5Q[.
(63) T T T T. 8cj[DWQsKIvMjKgnK_Gqv. 8cj[DWQsKIvMjKgnK_Gqv.
(64) ! , 5\. [JIU5N[PJ52QN0C[45GPAQW[6IN[N52Q0G=SC0N[PJ52Y QN0C[P?0JAG=[!
(65) [
(66) [.
(67) ! , 9\. -IIE[ IG[ Q?5[ 25GQN0C[ CI15[ I6[ [ JIU5N[ PJ52Y QN0C[ 45GPAQW[ 6IN[N0AP54[2IPAG5[PJ52QN0C[ P?0JAG=[ UAQ?[ 8T !/
(68) \ !
(69) [
(70) [. .
(71) ! , , '' . [PWPQ5E[EI45C[. 8T AP[ 0JJCA54 [ 5Q[ " "8T" U?5N5[ "" 45GIQ5P[ Q?5[ ;IIN[ IJ5N0QIN [ 'AG25[ !\ ;\ 8T ;\ " Q?5[ GSE15N[ I6[ GIG[ X5NI[ P?0JAG=[ 2I592A5GQP[T0NA5P[15QU55G[&'\ 0G4[ = IN5[PJ52A:20CCW[Q?5[ P?0JAG=[2I56:2A5GQP[ KUyT5NA6W[[. . ET ATT .
(72) . 'v >Q[nWDlQc_v
(73) dKjQcIcNjD[v ?OKcjqv. 7T. T. 8cj[DWQsKIvMjKgnK_Gqv. T. . KUy T.
(74) ! , 7\. -IIE[IG[Q?5[25GQN0C[ CI15[I6[ [JIU5N[PJ52QN0C[ 45GPAQW[6IN[N52Q0G=SC0N[PJ52QN0C[P?0JAG=[!
(75) [ [
(76) [. B5NG5C[=AT5G[1W[. !\. . A= [ [ P?IUP[ Q?5[ ISQJSQP[ @U_y UAQ?[ 0[ N0AP54[ 2IPAG5[ PJ52QN0C[ P?0JAG=[ 156IN5[ 15AG=[ P?A6Q54[ QI[ Q?5[ 0PPA=G54[ <5MS5G2W[ AGY 45V5P [ (?5[6N5MS5G2W[N5PJIGP5P[ I6[Q?5[5MSAT0C5GQ[:CQ5NP[ 20G[ 15[PAEJCA:54[0P[AG[ T A= [ T P?IUP[I1Q0AG54[%'[6IN[Q?5[ [PWPQ5E[UAQ?[&[ PJ52QNSE[P?0JAG=[SPAG=[0[NICCI8[8T !/\ 0G4[Q?5[P0E5[IQ?5N[ J0N0E5Q5NP[0P[AG[Q?5[JN5TAISP[P52QAIG [ =0AG[ Q?5N5[AP[0[=II4[ E0Q2?[15QU55G[PAESC0Q54[0G4[Q?5IN5QA20C[2SNT5P [. . 724,$9=. . CXo 9Yy 2/= B 1 vK\ kP_ 9o $=kP _Gyo !!yy 581.6927.=. . [. -\ ,
(77) , , ,
(78) ,. P[ PS2?[ Q?5[ QN0GP65N[ 6SG2QAIG[ I6[ Q?5[ PAESC0Q54[ P0EJC54[ N52Q0G=SC0N[ 6SG2QAIG[ I6[ C5G=Q?[ " "">[ AP[ !/= " ". . "Ky724,$$0= =. A= [ [JCIQP[Q?5[I1Q0AG54[%'[6IN[Q?5[2C0PPA20C[ [PWPY Q5E[ UAQ?[ " / [ " " ]v !" 0G4[ 0= (?5[ [ QN0GPEAQQ5N[ AP[ 10P54[ IG[ Q?5[ INA=AG0C[ ([ [ P2?5E5 [ (?5[ PAESC0Q54[ %'[ U0P[ I1Q0AG54[ SPAG=[ 0[ +5C2?[ J5NAI4I=N0E[ 5PQAE0QIN [ [ XIIE[ IG[ Q?5[ 25GQN0C[ CI15[ I6[ Q?5[ %'[AG[ A= [ [P?IUP[0[=II4[E0Q2?[15QU55G[Q?5[PAESC0Q54[0G4[ Q?5IN5QA20C[2SNT5P [. . . 2/=S\ " "" " " Av " " " " " .37.=. . . . . , &&"! )!%$, )%,
(79) , +!) , '!( , %(!$ , (& )'*#, ( &!$ ,. G[ Q?AP[ P52QAIG[ U5[ 0N5[ AGQ5N5PQ54[ AG[ 2IEJSQAG=[ Q?5[ %'[ I6[ [ U?5N5[0[N0AP54[2IPAG5[PJ52QN0C[P?0JAG=[ UAQ?[NICCI8[. [ AP[ 0G[ ' [ T0NA0GQ[ 10P54[ IG[ 0G[ AGQ5NC50T54[ PJ52QN0C[ E0JJAG=[ I6[ Q?5[ SP5NP[ PWE1ICP [ 5Q[ SP[ 2IGPA45N[ Q?5[ '' [ U0T56INE[ 45JA2Q54[ AG[ A= [
(80) [ +5[ P?0CC[ N5Y PQNA2Q[ISN[0G0CWPAP[QI[Q?5[20P5[U?5N5[Q?5[C5G=Q?[I6[Q?5[PJ52QN0C[ P?0JAG=[ UAG4IU[ 4I5P[ GIQ[ 5V2554[ D\ '' [ 02QS0CCW[ 2IGPAPQP[ I6[ SJP0EJCAG=[ Q?5[ PJ52QN0CCW[ P?0J54[ ([ ISQY JSQP[ 1W[ 0[ 602QIN[ " 6ICCIU54[ 1W[ 0[ 6N5MS5G2W[ P?A7R[ ]v QI[ E55Q[ Q?5[ SP5NP[ 0PPA=G54[ 6N5MS5G2A5P[ 0Q[ AG45V5P[ " "]v U?5N5[ " ! \ """
(81) " =0AG[ Q?5[ 2C0PPA20C[ [ AP[ 0[ PJ52A0C[ 20P5[I6['' [ U?5N5[PJ52QNSE[P?0JAG=[AP[0[N52Q0G=SC0N[ UAG4IU[I6[C5G=Q?[ <\ (?AP[N5PSCQP[AG[0[G5U[452IEJIPAQAIG[I6[ Q?5[! ([ISQJSQ[PA=G0C[ ;8=0P[. . ;8=.
(82) 1s^
(83) Jy. . Kf2
(84) J ,v hv v ]v ,9Jyv K8f2
(85) J ,v " v hv v ]v ,9y J QJyhv ! \ "" " " " " Kf2
(86) J ,v hv v ]v ,9Jy QJyhv " " Kf2
(87) J ,v hv v ]v ,9Jyv K 7Y 8f2
(88) J ,v " " v hv v ]v ,9yJQJyhv " " " ". . . . . T. . v &v. RSv v. RSv v. kv av tv v @v !v &v. av &v tv @v !v " v. . . v. . Y\ "&v. QR\ " v. . "&v. 7biZCVPrJHvLiJfmJ^Fpv.
(89) ! , %% \ . [JIU5N[PJ52QN0C[45GPAQW[!
(90) [.
(91) [. "(v ")v "*v 7biZCVPrJHvLiJfmJ^Fpv.
(92) ! , %* \. -IIE[IG[Q?5[25GQN0C[CI15[I6[ 45GPAQW[!
(93) [
(94) [. (?5[ PQ0QAIG0NAX54[ 0SQI2INN5C0QAIG[
(95) y I6[ :=8= AP[ 45NAT54[ 6ICCIUAG=[Q?5[P0E5[PQ5JP[0P[AG[P52QAIG[[. %v. [JIU5N[PJ52QN0C[. 0\ E>?>E>B=>F\ L"M\. <81(?? <81(? 81681(?*0? !1%? !9*%?? 22%0!1? *1(.&? #!55*&5? ? '25? 83.*1,? :*5&.&66? 75!160*66*21 ? 1 -!(1 $&!& /1 0 $1 92.? @\ 12? + \33? +. L(M\. U?5N5[ #=1818= (-8 = (?SP[Q?5[%'[I6[Q?5['' [PA=G0C[20G[15[UNAQQ5G[0P[6ICY CIUP[. "+v. \+6 \(. 2 \6&37?. 1#)!1(?81?8*=)&? !1(?&1("2?*? !1)8!?81? !1%? !1)8!? )!1(? !*6&%?
(96) 26*1&.*,&? #203!1%*1(? 6#)&0&? '25? 3&!,72!9&5!(&? 32:&5? 5!> 7*2? 5&%8#7*21?2'?
(97) ? 6*(1!.6? *1? !&!1 & !1&$ (++1 1. . ( " \#7? 33? ".\ L+M\. $ ? =85%*!&=!? <8+*1? &&? !1%? <&6!1? &&? ? &%8#7*21? *1?
(98) ? "<? 8.6&? )!3*1(? 6*1(? !5!0&75*#? *1&!5?
(99) 20"*1!7*21? 8.6&6? 1 &##-$ , &$+1 ""(+1 92.? "2 \12? "( \33? (. &#&0"&5?. L,M\. A= [
(100)
(101) [ 0G4[ A= [
(102) [ P?IU[ Q?5[ PJ52QNSE[ I6[ 2C0PPA20C[ [ A 5 [ SPAG=[0[PJ52QNSE[P?0JAG=[P0QAP6WAG=[KUy "H\S\ ! \ "&' " +5[ I1P5NT5[ 0[ =II4[ E0Q2?[ 15QU55G[ Q?5IN5QA20C[ 0G4[ PAESY C0Q54[%' [. . . . ? !:!085!? J\ *6)*<!0!? ? *(8#)*? !1%? ? !:!)!6)*? 19&67*>. (!7*216? 21? 37*080?2..2''? !#725? '25? 35&!%? ? !6&%?
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
(105) ? !1%? ? *(1!.6?
(106) 1 $!1 *++ $ 1 ""(+1 92.?. +4"+4, ( " \ 35*.?. >. "4 \12? , \33?.
(107)
Documents relatifs
It would be of interest to measure the magnetic moments of the other6 mono- capped octahedral molydenurn( ~ v ) complex which has longer molybdenum-ligand bond
Des isolats tolérants au stress salin sont aussi souvent tolérants au stress hydrique (Thami-Alami et al., 2010).. Jusqu’en 2008, les légumineuses de la tribu des Viciae
Measured and modeled December to February (DJF) mean Arctic ozone in the mid-stratosphere at Ny- ˚ Alesund, compared to the solar cycle and the flux of energetic electrons in the
• due to the linear assumption of the proposed algorithm, the model treats only part of the information, available from the PFS spectra (i.e. the signal region and not the
The part (a) of these figures demonstrates the mean value of the predicted parameters and part (b) is the Coefficient of Variation of the estimated parameters. Figures 3, 4 and
To demonstrate the potentiality of Bragg gratings to fluorozirconate fiber laser technology, a fiber laser using a Bragg reflector written in a Ce-Er codoped ZBLALi fiber is
These bounds are then applied to simple example graphs and a power system test case, to show how they can successfully predict, explain and describe localisation... Summary
d’entrainement d’une manière scientifique pour améliorer la performance physiologique des joueurs... Mots clé : paramètres physiologiques ,niveau de jeu ,compartiments de jeu. 1
