(DSP) en las Telecomunicaciones Inalсmbricas

Anuncio
ENINVIE
– UAZ 2004
Encuentro de Investigación en Ingeniería Eléctrica
Zacatecas, Zac, Marzo 4 —5, 2004
Aplicación de los Procesadores Digitales de
Señal (DSP) en las Telecomunicaciones
Inalámbricas
bcdefgc heijekefl
mnoefjepnqjc rn sgdjnped t ucpovjewgxql
yq dj gjvjc znwqcix{gwc rn |nxql |}~ l €z‚ ƒ„………‚
z}|† ‡ ˆ‰„„Š„‹…Œ……l nŽj ‚ ‹„…‹l wcffncn† wefc‘eipŽ’t ecc‚wcp ‚pŽ
“‚ ”efj•q uefogcl
mnoefjepnqjc rn sgdjnped t ucpovjewgxql
yq dj gjvjc znwqcix{gwc rn |nxql |}~ l €z‚ ƒ„………‚
z}|† ‡ ˆ‰„„Š„‹…Œ……l nŽj ‚ ‹„…‹l wcffncn†– pwefogc’t ecc‚wcp ‚pŽ
t
”g{vni — ‚ uedgiied —
unqjfc rn mndeffciic rn ˜fctnwjcd rn yq{nqgnf•el
u‚ |cpe —in{fn ‹…ƒl uci‚ |cpe bneil |}~ l €z‚ƒ„………‚
z}|† ‡ ˆ‰„„Š„…„ŒŒŒƒl wcffncn† pwedgiiede’ofcrg{t‚qnj ‚pŽ
!" # #$%&%'( )$ #% &$* $ (&$ +% #, (+(-.% / +% 0 1($%,02
%,#%+ 3 +( 0#% / ,( 0,%,02 0 %+4&$0,%5 6%&07 #$% +% #, (+(-.% ,++%$8 1 ,0( %0 #( 3 + %*% , 9 :% # 0/( // ,$%,02 5 ;0 %+ # % %+0<% +( =$(,%/($
/0-0#%+ / >%+ ?@A=B // /10 0,02 :%#% +% %)+0,%,0( +( /01$ # ,%)( / +%
#, (+(-.% (/$ %8 (&$ #(/( +% %)+0,%,02 #+1( .% ,++%$ /( / %,#%+ # #0 -$%
/% /% -$%,0% % ,%$%,#$.#0,% / )$(,%0 #( #0)( $%+5 "# #$%&%'( (#0*%/($ )%$%
+% %/900,02 / ,( (,00 #( )($ )%$# / +( %+ ( / A0#% C()#%,0( %+ 3 / D - 0$.%
C( 0,%,0( 3 "+,#$2 0,% + 4$% /+ /%$$(++( / %)+0,%,0( ,( @A= )%$% #+1( .%
,++%$ 3 ,( 0,%,02 / /%#( *.% 0 %+4&$0,%5
E&#$%,# !6:0 F($G )$ # % &$01 $ %&(# #: 0 1($%#0( #,: (+(-3 % / #: F0$+
,( 0,%#0( 3#5 6: ,+++%$ #,: (+(-38 0# )$1($% , % / #: /*+() # 0 )$ #/5
;0 %++3 #: @0-0#%+ A0- %+ =$(,($ ?@A=B 0 , 0# /10 0#0( #0+ 0# %))+0,%#0( 0 #: /011$ #
10+/ (1 (/$ #,: (+(-38 (*$ %++ 0# %))+0,%#0( ,+++%$ #+):( 3 F:$ %,#%++3 H0# % +(# (1
/% / (1 /*0, F($G0 - 0 $%+ #05 6: %))+0,%#0( (1 / @0-0#%+ A0- %+ =$(,0 - 0 I0$+
C( 0,%#0( ),0%++3 0 ,+++%$ #+):( 3 0 )$ #/ #((5 I0#: #:0 F($G F )$# / #( 0 /,
#( #: #/ # (1 C()#%#0( % / C( 0,%#0( #( %,90$ G (F+/- % / %&0+0#0 0 #:0 %$% %
/*+()$ (1 %))+0,%#0( F0#: @A=5
JKLKMNKO PLKQR S JNTPROKUTNRO UVW VXKLRO UR ORYKLROZ OVOXR[KO V\KL][MNVPTOZ UVOXV\XTO XV^ TO UR
[TU_LKPV`\ UVW VXKLa
‹‚ yzbmuuy~
A
I
!"#$# ied qvn%ed znwqcic{•ed rn ie yq&cfpewgxq qcd dcfofnqrnq r•e wcq r•el rn‘grc e
dv %nfj g{gqcdc e%eqwn‚ mndrn ie eoefgwgxq rni jni'{fe&cl nq rcqrn ie wcpvqgwewgxq dn ewge e
'd
jfe% rn gpovidcd jfeq dpgj grcd pnrgeqjn vq we‘in( edje ct nq r•e nq rcqrn ocrnpcd c‘dnf%ef
rndrn qvndjfcd c{efnd ni nq% •c rn rejcd rn ied wcqrgwgcqnd rn ie ejpxd&nfe t cjfcd oef)pnjfcd *vn
ofcocfwgcqnq petcf gq&cfpewgxq dc‘fn ni oieqnje ”efjn‚ }djn e%eqwn nq ied znwqcic{•ed rn
ucpvqgwewgxq e dv %nk e onfpgj grc vq petcf rndeffciic nq cjfed )fned rn‘grc e wcqjewjc rgfnwjc
*vn dn j gnqn nqjfn gq%ndj g{ercfndl {c‘gnfqcdl nrvwercfndl nqjfn cjfcd onf dcqe– nd wie%n nq ni
rndeffciic‚
sg ewnpcd vq ‘fn%n eq)igdgdl ocrnpcd rnwgf *vn nq ocwcd e+cd e qg%ni pvqrgei dn e
rndeffciierc ni )fne rn ied jninwcpvqgwewgcqnd rn vqe peqnfe nŽocqnqwgeil yqjnfqnj j gnqn wc‘nfjvfe
pvqrgei t qcd onfpgjn ndjef wcq%nf deqrc wcq ei{vgnq ei cjfc ierc rni pvqrc nq j gnpoc fneil ie
jnin&cq•e wnivief jep‘g'q qcd onfpgjn ndjef nq wcqjewjc rndrn dgj gcd nq rcqrn eoefnqjnpnqjn qc dn
j gnqn wcpvqgwewgxq ei{vqel ie jfeq dpgdgxq dejnigjei qcd onfpgjn wcqcwnf ie v‘gwewgxq nŽewje rn
pnfweqw•ed e jfe%'d rn €˜sl njw ‚
|cd dgdjnped rn wcpvqgwewgcqnd *vn nŽgdjnq nq qvndjfcd r•ed ocrnpcd rg%grgficd nq rcd {feqrnd
{fvocd† icd *vn v deq wcpc pnrgc rn jfeq dpgdgxq vq we‘in wceŽgeil we‘in rn wc‘fn c ‘gnq &g‘fe
xoj gwel t icd *vn v deq wcpc pnrgc rn jfeq dpgdgxq ni egfnl rcqrn were vqc rn niicd j gnqn %nqje– ed t
rnd%nqje– ed wcq fndonwjc ei cjfcl nq wveqjc ei eqwc rn ‘eqrel onfrgred ocf ,gixpnjfcl %nicwgrer rn
jfeq dpgdgxql fvgrcl njw ‚ sg qcd wcqwfnjepcd e icd dgdjnped rn wcpvqgwewgcqnd *vn j gnqnq wcpc
pnrgc rn jfeq dpgdgxq ni egfnl nd rnwgfl dgdjnped rn b-l ocrnpcd rnwgf *vn ct nq r•e j gnqnq vq
e%eqwn %nfj g{gqcdcl were r•e qewnq qvn%ed eoigwewgcqnd rn icd rgdocdgj g%cd gqei)p‘fgwcdl n
gqwiv dg%n dn ofn%' *vn nq vq &vjvfc wnfweqc dn ovnre nigpgqef ni v dc rn dej'igjnd oefe ni fn‘cjn rn
ied dn+eind .‹/ t nq dv iv{ef dn vj gigwn ie gcqcd&nfe ‚ q n– npoic rn ndjc nd vq ofctnwjc rn
gq%ndj g{ewgxq *vn ndj) fneigkeqrc ni yz— ˆyq dj gjvjc  ewgcqei rn z'wqgwe —nfcndoewgeiŠ nq
wcie‘cfewgxq wcq ie qg%nf dgrer bepxq |ivii t ie qg%nf dgrer ucpoivjnq dn rn ”erfgr nq }doe+e ‚
}q ni wv)i dn ofnjnqrn ie jfeq dpgdgxq rn dn+eind e {feqrnd rgdjeqwged v deqrc wcpc weqei rn
wcpvqgwewgxq ie gcqcd&nfe ‚
}q ”'Žgwc nŽgdjn vq {feq gqjnf'd nq jnqnf wcpvqgwewgxq nq jcrc ni jnffgjcfgc qewgcqeil nŽgdjn ni
˜fctnwjc n”'Žgwc nq rcqrn dn ofn%' *vn dn jnq{e ewwndc e yqjnfqnj nq jcred ied wcpvqgrernd wcq
vqe oc‘iewgxq effg‘e rn wgnfjc q0pnfc‚ zep‘g'q dn *vgnfn ic{fef ni nqiewn nqjfn jcrcd icd dnf%gwgcd
p'rgwcd‚ 1 dc‘fn jcrcl wcq ni ewjvei {c‘gnfqc dn j gnqn ie oci•j gwe rn jnqnf vq {c‘gnfqc rg{gjeil nq ni
wvei icd ofgqwgoeind c‘– nj g%cd dcq ie n&gwgnqwgel nd rnwgf petcf wc‘nfjvfe e pnqcf wcdjc nq icd
*vnewnfnd {v‘nfqepnqjeind‚ sn fn*vgnfn *vn dne nwcqxpgwcl *vn qcd wvndjn pnqcdl t dne
jfeq doefnqjn nqjfn cjfed wcded‚ zcrc ndjc ewgnqrc v dc rn ied jnwqcic{•ed rn ie gq&cfpewgxq ‚ zcrcd
ndjcd ofctnwjcd iin%eq ewge vq &gq dcwgei pvt ofcpnjnrcfl dgq np‘ef{cl dnf•eq e0q p)d eoievrg‘ind
dg ied jnwqcic{•ed rn ie gq&cfpewgxq wcq ied *vn dn ognq de ref dcivwgxq t dn{vgpgnqjc e ndjcd
ofctnwjcd &vnfeq rndeffciiercd nq ”'Žgwcl ocf pnŽgweqcd t qc qcd jv%g'fepcd *vn %nf c‘ig{ercd e
gpocfjef jcre ie jnwqcic{•e c {feq oefjn rn niie rn‘grc ei ocwc ˆwedg qvicŠ rndeffciic nq ied )fned rn
ied znwqcic{•ed rn ie yq&cfpewgxq ‚ }i rndeffciic rn dc&j2efn oefe icd ofcwndcd {v‘nfqepnqjeind
rn‘nf•e rn ewnf dn nq wede t qc wcpofef ied dcivwgcqnd *vn qcd %nqrn 3˜ c yh”l *vn eq dgrc
rndeffciiered gqwiv dc ocf ofc{fepercfnd pnŽgweqcd onfc jcred ied fn{ei•ed t {eqeqwged dn ied iin%eq
ied ucfocfewgcqnd pvij gqewgcqeind‚ |c pgdpc ocrf•epcd rnwgf rn icd rndeffciicd nq jnin&cq•e
wnivief c nq fnrnd gqei)p‘fgwedl nq rcqrn e jfe%'d rni rndeffciic t weoewgjewgxq rn onf dcqed nq
qvndjfc wedc wcpc nrvwercfnd t eivpqcd nq ni )fne rn ms˜l jei %nk qc e qg%ni rni rgdn+c oefe
nponkef onfc dg e qg%ni rn ie eoigwewgxq nq ied jninwcpvqgwewgcqnd qewgcqeind‚
}q oe•dnd rn ofgpnf pvqrcl e qg%ni rn gq%ndj g{ewgxq nŽgdjn vq &vnfjn gpovidc nq ni )fne rn ied
jninwcpvqgwewgcqnd t rn ied jnwqcic{•ed rn ie gq&cfpewgxq wcpc )fned rn %eq{vefrge t rn
cocfjvqgrerl ndjc icd iin%e e vq e%eqwn rn peqnfe qejvfei e0q petcfl rn‘grc e *vn ni rndeffciic nq
ndjed )fned ofcogwge ni petcf &iv– c rn gq&cfpewgxq t rn wcqcwgpgnqjcd nq cjfed )fned rni *vnewnf
wgnqj•&gwc‚
zep‘g'q rn‘npcd jcpef nq wvnqje *vn ie gq%nf dgxq nq jnwqcic{•ed rn gq&cfpewgxq nd rn ied p)d
n
f qje‘indl nq rcqrnl e oefj gf rn rg%nf dcd ndjvrgcdl dn e wcqwivgrc *vn ocf were ondc gq%nfj grc nq ni
)fne rn rndeffciic rn jnwqcic{•ed rn gq&cfpewgxq dn c‘j gnqn vqe {eqeqwge rn ‹……l nd rnwgfl vq
‘nqn&gwgc rn ‹…… e ‹ .ƒ/‚
yy‚ u”yu—uy}s ”hy|}s y—|—”hbyu— s
}Žgdjn vqe {feq %efgnrer rn dgdjnped rn wcpvqgwewgxq gqei)p‘fgwe oefe ie jfeq dpgdgxq rn %ckl
%grnc t rejcd nq )fned icweind c {ic‘eind‚ }Žgdjnq fnrnd gqei)p‘fgwed ovqjc e ovqjcl fnrnd |—
ˆ2 gfnindd icwei efne qnj2cf, dŠl ‘ivn jccjl dgdjnped rn wniviefnd pvij grgfnwwgcqeindl t dgdjnped rn
wcpvqgwewgxq % •e dej'igjnl nqjfn cjfcd‚
}djn jnpe rgdwvjn ied jnwqcic{•ed gqei)p‘fgwed *vn ofc%nnq dnf%gwgcd rn wcpvqgwewgxq px%gind
rn %ck t rejcdl ocf n– npoicl jnin&cq•e wniviefl ˜m— d ˆonf dcqei rg{gjei eddgdjeqjŠl jnfpgqeind rn
yqjnfqnjˆlŠ nqjfn cjfed‚ }i q0pnfc rn rgdocdgj g%cd px%gind gqei)p‘fgwcd dn e gqwfnpnqjerc e qg%ni
{ic‘eil icd v dvefgcd rnonqrnq rn niicd oefe wcqnwjef dn e ied fnrnd wcfocfej g%ed oefe ewwnrnf e ied
‘ednd rn rejcdl gqjnfwep‘gef pnq de– ndl jfeq d&nfgf efwg%cdl n gqwiv dc oefj gwgoef nq vqe fnvqgxq wcq
123456 7 2:;<:2=2><: ?<@A?=6B<: CAB26@=A DE4A=<<=F
8 9
8
ewwndc fnpcjcl ovnrn dnf pnrgeqjn g-gl |— c hivn zccjl -g{vfe ‹‚
!" # $!"%& ' ! ("$ & )!%* & $ $%$'$ &
'!%%$ '*)%$ ("$ "& $ , %'$ %'($ (" " &'& &
+
$")%%$ '*)%$ & - & $ . "$ $")%%$ '('"%$ /$&$ $ "&$
+
!"$0
!"!#$% &'( " )*+! ,& ,$ )!,*!$, ! " $!,!) ! $ !+ ") !!) !
,&*$,,$!) &'( "!) - ") !!) ! !"!#$% #. / ) 0&!) )*+!$ !$ " 1, !
2345 - )! !)""$ *$ ! " )!+*$ +*! &*$"/ 6$ " 1, ! 2375 - )! !$%
0!$ !$ () ,*!) )) !&) ! !"!#$% $"'+, +,) " !)"" ! ")
)!&,$*, !) - ") ,,* ) $ !+) 8*! 0!& !$ *$ !)"" ! !&$"!) ! &!$
&9 !$ !",'$ ") !&0"!) !$ " & !" )+" 0) / !&$ ! )!( ,) !
!"!#$% &'( " #*! !$ *&!$ - ") )) !&) ! !"!#$% !: ) !$ !) $ )! ;) !,%$< 0 " 8*! "
$* ) !)"" *$ )) !& ($= 8*! 0!& % &!. !" )!9 ! ") )) !&) !: ) !$ !)
!$ ,*$ ," ! ,&*$,,$!)< ,0, ! !$,'$ ;$)< !$ #&< !*,,'$ !"
&9 - ,$ )*& ! ") !&$"!) &'( "!)< $ 0) " )*+&!$ ! " ! ,!"*" >?@/
A 0 ! 23B5 )! $+!) !$ " ! ,!"*" !$ $! )! 0*!!$ ) $+* !) +!$!,$!)C "
0&! +!$!,'$ 2D< ,$#& 0 )) !&) $"'+,) !$ ! !"") !" AEFG !&0"! !$
$*!) &!H " )!+*$ +!$!,'$ 4D ,$ )) !$ ! !$ )) !&) + "!)C IAEFG< DGE<
JIEA < FIJ ,$ (!",!) 0&! ! 3<K55 ;0)H " +!$!,'$ 4/L ,$ DFMG< JIEA !( N
,$ (!",!) ! K?O;P )H - #$"&!$ ! " !,! +!$!,'$ QD ,$ )) !&) 0!$ ,$
!,$"+%) RJIEA - JIAE455< ,$ (!",!) , *"!) ! 2??O;P )!+/ - " 0-!,,'$ !)
""!+ 4E;P )!+/ S(! T+* 4U/ 6$ !" V=$ ! !) W$ ") )) !&) ?D< ") ,*"!) #!,!W$ " (!", !$ $ )&)'$ ! ) !)! 4E;P )!+ V) 2LKE;P )!+< !) +!$!,'$ )0 W
"&!$ ! " XFY/ 6 ) " (!", )! !;!W ") ($,!) !$ ") 0,!)!) ! )!9"!) SI GFU<
$*!() 1,$,) ! &*",'$ - $ !$) $ !"+!$ !) 8*! )! !$#,W$ !, &!$ ! " * )* / 6"
ZTIE S V+$" #!8*!$,- ( )$ &*" 0"!: $+U !) *$ !)8*!& 8*! 0*!! !,* )! 0 !) !
#$ /
\]^_`a bc d]a^`aea fg hijk_gl fg ia m_no]jnai]faf fg _na glpao]qn p`anle]lj`a fg rg^_nfastg`og`a ^gng`ao]qn fg
udvwc
6$ *$ )) !& ,!"*"< *$ ,1"*" !) *$ W! ,,*" ,$ *$ !) ,'$ ;)! !,!0 P $ )&)<
,& )! &*!) !$ " #+* Q / !) ,'$ )! "!($ );! *$ ! - !$! *$ $ !$
&$!,,$" ! QK5[< )! )$ $= 0 ,! *$ W! ,!"*" ! *$ &9 ! !&$ / 6"
&9 ! " ,1"*" !0!$! !" W!/ 6$ *$ ,* !: ) !$ &*,V) ,1"*") 0!8*!9)< &!$ ) 8*!
!$ W!) *"!) !: ) !$ 0,) ,1"*") &*- +$!)/
0"+% ! ") ,!"*"!) 0(!! *$ #& ! &$ !$! *$ $&! !,* ! ,$"!) 0
""&)< $ ) !" $&! ! ,$"!) )0$;"!) !) 0!8*!9 / 6 ) !) 0);"! (1) !" * ) !
#!,*!$,)/ A , ,1"*" )! "! )+$ *$ ,$. *$ ! #!,*!$,) ! ,$" - ") ,1"*") $
,"$$ !) 0*!!$ * ) !)) #!,*!$,)/ 6" )) !& !) !),";"!< $,"* )(! ) !$! *$ $&!
#$ ! ,$"!)/ G !" ,$" !&$ *$ $,!&!$ !$ *$ W! !)0!,%#,< !" 0(!! !"
)!( , 0*!! ( ,1"*") !$ ) &W) 0!8*!9)/ 0 !$, !" $ )&) )! !,!&!$ 0 . * ) )! " $*!( &9 ! ,1"*")< !&W) )! !,&$ ") ,$"!) 0 8*! )! !* ",!$ /
6" &9 ! " ,1"*" )! )!9 0 !" $&! ! 0! )$) 8*! !) W$ !$ !) W!/
789:;< => ?@A@B@9C< DE B@F GEB:B<;EF>
J*$ *$ * )* ,*!"+ !" !"1#$< )* $&! ! !"1#$ - )!" )$ $ )& ) !$ "
1
, "*" ","/ !) ,'$ ;)! & !) ) )!9"!) ! $#& " #,$ ,$,!$ 8*! !)!
)0) ( !$ 0 ,*" !) !$ !) W!< !) $#&,'$ )! +; 0 #* * !#!!$,/ 6"
)) !& )!"!,,$ *$ ,$" - )! " )+$ " * )* *$ ! !" !&0 ! " ""&/
XXX / FMZJ6GAIZM6G IXDXA6G I6 G6A6G SI GFU
D,) ") $*!() 0 ,") ! ,&*$,,$!) $"W&;,) &$ ) );! ") I GF )< !)
0);"! !$! ,&*$,,'$ $"W&;, +$!) ) $,) " (!",/ ) I GF 0*!!$
* ) )! 0 &$0*" " $#&,'$ - ,$(! " )") $"'+,)/ ) G) !&) ! I GF)
&!$) )$ 00) 0 )* &0"!&!$ ,'$ ;. !" , ! GX SGX< !- +! G,"!
X$ !+ $U/ ) +$!) $(! )$!) $!,!)) 0 )!9 *$ $*!( ,,* $ !+ )'"
0*!!$ )! . * ) #,) ,*$ !" $&! ! ,,* ) #;, !) +$!< ,*$ ") $(!"!)
$!,!)) ! !)!&0!9 )$ $ " ) 8*! $ 0*!!$ )! ",$=) ,$ " !,$"+% !: ) !$ ! / A
&!$*< &;) +*&!$ ) )$ (W")< 0 ,*"&!$ ! !$ ,&*$,,$!) - 0",,$!)
+) ") ,$ )*&!)/ A($,!) !$ " !,$"+% ! #;,,'$ ! ,,* ) $ !+)
&;1$ ;!$ $*!() W!) ! !)"" ;)) !$ I GF< "!) ,& )!$ )!) $ !"+!$ !)< ( )'$
! ; ) - * & =,'$< &!$ ) !$ !+ ") ;)!) 0 ,$ $* ") ($,!) !$ W!)
,$"!) !" 0,!)&!$ + " ! )!9"!)< "!) ,& & ),< (=< < )$< ( !<
* - ,&*$,,$!) >L@/
$ F,!) I + " ! G!9"!) SI GF < )+" !$ $+"1) ! !! "!# !$ % !& ' ()* + !, ! " -". !".& /"
"" " ! " !". . 0" ". "!" ". " , .!" 1+
!"!& *! 2 .# 3$ . 4!"! " !"45 .53 .."! " 6 !"!
." ."& / ..4" " , ." -". ! " 3 %" , " "! 0" ." " ." 4 &
. .53 .."! " ".# . ". " ()*# . 0"."! !".& /. ()*
! . .53 ! " . 4!5. " -". "".1 " " 1".# 3.!"#
! % !"." !" "!" 3!" 1". " !$" , 0" ."! %
0"! ! ." !"!& ! "# ! " !".&
"#$% & " & ' ( ()* !""2 " -". . !".# ". % " !" , !1" 3!" "$.1"# -". , " +" !"" . " .3 " .."!& "# " -". "$.1 " " . ) " " "4 " " !& (
"! 1".# ! ! ."# "2 " ." 3!" "# " ! +! "!# ! . , 0" "! !!" "" ." "%! " . "
"" ()* !"3!"! ." -". "$.1" 1".& /" !"3!" ." 0" .
4!! *$.1 + (1". *(# 1.5& '" 4 !"" ." "" 4!
"$.1 " + 1".# . " !1" ". ()* . ". $ "0!" ! "!."&
/4". . ()* !$ 4.4! . " %" ! " "!" . ". "!" " ""
3". , !"3! . 3!" 1". " "$.1 & *! 2 .# " -". " !
",!" *( % 4!!." " 1". % 3.!"" "!" ."! 1!" " !# !2 $ "# ".3 "! !" 3! " !5# ."! !"# & (1 # ." 3!" ! 4." " !"45 " 4! 1". + "$.1" (* &
/2 . !" ". " ()* ,
-& /."! . ." ." " &
. & (1!"! 0" ! $ ."!" $1 !1" ! . , "1 5 &
/ & 3!"! 4!" .53 .."! "!" "! !4" "&
0 & *"."! " "!" !"! 4" !!4" !.&
/ + .# ()* "." 5! % !4& "" 4 , ..1" "# 5 !
.. "# " % "$ !"3!" " ! " 3!." .2 "& ( ,
! !"."! .. ." 4. " . 4& ( " "" ()* !""2 "! !".# "!" % ! " 3!" " ." 4 , !!& ( 4!!
"$.1 + 1". ",!! ." 3!" . 3 1 "!" ""! "
." 3. " !.4" ." -".& ) . *( % . !!$ 3!" & /. ()*
" 5 !""2 "! !$ "!" !! 3!" , . ..1" . *( % "$
.! . " " ! " ." -".& *! 2 .# " ! "2 "
0"" .1 20 &# ! . " . ()* !$ ! "" ! "! ".!! . "!
.. !" ! 1& !!" -".# ". !" ! "5. . ! . 31"0! ! . , !,! ! " "%! 4. "&
'" 3!" ."3 "! . ()* % ". " " !"45 !"1 $ & /. !"1
$ 2 +!# ,- " 1!"# , ! ! " .
! " ". " & *! 2 .# "!" !!"! " 3!" " !" " -".
"! ."! "! ! !"1 +! "!" "2 "! 4".! "%! % !& /.
()* ! "" "2 "! . +! 1!" " ." !"3!" "$.1" + 1".
!" . $. . .. " # "# 4 0" -".& ) "" "2 "! . !"1 +! !!!$ 44!3.54 4!3.54# . ". ! !$ !!! . $. .& (" "" " . ! "! " 3 " 0 " . +! "." % . "!5 " , 32 3."& ' ! "! /. " 0 " "%! , .0 # . ". " 4 !"1 "%! , -6 & ()* 3." !"1 "%! , 32 & "" ! "! ". "!" !"1 "! ."! ". " & ( ()* -6 ". "!"
" 4 ". .53 %" , .. !""2 " ! 0 !"1 3! " "& ( )! "." 3." !,! *( -6 % ! "! .0 32 & ( -6 . 4!! ! "!"! . !"1 ." -". " % . .0 .
! "! ! !"! " . 1!" 4".! !." ." !" .
"& /. *! " $1# 1!$3 /+ ( % ." 3 " " !"1
$ 0 "%! % ! . " !,! ! "! 3." /. % *(
.0 &
! "
# " $ ! # " !" " # $ %& ! ' ( ) * +# " + ,* # & '
$
- . * % / $ " . . * $ % ( ) " & $
! ( ) "
$
# ! # %& $ # " % %& . %% $" " % &'
) ( 0 12 ( 3
4 5 6 (
( 4 74 89:
% # ,% < , = $ ;
. % = $ ! .= . % +# " ! # "
$ ' > , , . +
? " @&A - ! ;
"
/ B " B% < '
& %+ %+ ' . + + & " . %+ ? '
) , # + % & %+ $
"
'
* # & ' . % * & ! ;<" % = ' (, = - C 25* ;C'DDD %< ! CD 25*'
> * , # * 4 ' $ % 4 $ ' " #&
" # . % %& * ,$ & # , ' "
*! ! % #' . . , . * % # ! ! .= .
," $ & $ '
4
% % $
$
* - '
#$%
#Q%
#u%
#r%
#t%
#R%
#s%
!"
&' (' )*+*,*- &' .' /*,01- &' 2' 345 *01- (' 6478770- &' 9' 98:;<- =>*1*?@A8,4+ )*;1B41: C*, 0 D)E)) FG 90B4*E241HI- J*,H?A*@ *1
?@,80B ?@8+K,;L K8+A14M;8? C*, J4,8B 01B J4,878?? ?N?K8L?- (O)PEQRQ' STUVWXTY TZ WYU[\] WY[^_U`aW _[^XZbc`[Wd TU SbU[] \Z]
SbU[e[WW WfW_[aWg h*i8,Lj8, $kkk- l0,+87*10'
&' (' )*+*,m- &' 2' 345 *01- &' .' /*,01- G' P0,,8?- nh 8o ,8+84i8,? C*, D)E)) 41 K4L8Ei0,401K L;7K4@0KA +A01187? j0?8B *1 KA8 3h
074:1L81K +*1+8@K n- 3,*+88B41:? *C >1K8,10K4*107 )NL@*?4;L *C )@,80B )@8+K,;L P8+A14M;8? 01B .@@74+0K4*1? >)))P.pQqqq- @@ '
RrsERt$- h 8o &8,?8N- )8@K ' Qqqq'
G*,* 98:4*107 B8 P8+1*7*:v0? B8 70 >1C*,L0+4m1- w;0105 ;0K*- Qqqu'
P' )A87B*L- xZ^ef ^TY[]b\ Td y[_zTUVbZ{ \Z] |[e[^Taa`Zb^\_bTZW ' /+' w,0o F477- } ' ~' .'- Qqq$'
F;8,K0- 9'- `UWT ][ €UT^[W\ab[Z_T b{b_\e ][ ‚[ƒ\e[Wg ~14i8,?4B0B P<+14+0 G8B8,4+* )01K0 /0,v0- Qqqu'
ooo 'K4'+*L- @„:410 B8 P8…0? >1?K,;L81K?'
h ' (NP- =/4+,* *?+470B*,8? @0,0 L4140K;,4†0, K87<C*1*? Lmi478?-I xe[^_UTZb^TW TZ ebZ[- w;0B0705 0,0- Qqq$'
Documentos relacionados
Descargar