· 2015. 9. 9. · !"#$#h’@45*#klc#2#d#$#qrs7
TRANSCRIPT
!"#$#%&'#()#)(*+#,&'#-#
!"#$%&'(&')&**&#'!'
!"#$%&'(&'+,&-.*,&/'0'"'
!"#$%&'"(12#'#'
3.*$45&'607'$#
0(&89:;29<8'%#
!'=8(>#29<8*'&8'5<(>#&'&8'
)?'@')+#
"'=8(>#29<8*'&8'5<(>#&'&8'
)?#
#'A1B<8*&'"8(";"&##&#
$'A1B<8*&'B#2$&'&8'5<(>#&'
(28*'#2')?#
%'A1B<8*&'"5B>#*"<88&##&#
&'A&$2%('(&'B,2*&';<8*$28$''
(28*'#&')?'&$'5C5&'2>'(&#D#
''?,2*&'#"812"%&#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################BC#
('3.*$45&'#"812"%&'&$'*$29<882"%&#
!"#$%&'(&'+2>&%'&#
!"#$%&'(&')>E&%F<%$,''#
!"#$#%&'#()#)(*+#,&'#-#
!"#$%&'(&')&**&#'!'
!"#$%&'(&'+,&-.*,&/'0'"'
!"#$%&'"(12#'#'
3.*$45&'607'$#
0(&89:;29<8'%#
!"#$%&'(&'+2>&%'&#
!'=8(>#29<8*'&8'5<(>#&'&8'
)?'@')+#
"'=8(>#29<8*'&8'5<(>#&'&8'
)?#
#'A1B<8*&'"8(";"&##&#
$'A1B<8*&'B#2$&'&8'5<(>#&'
(28*'#2')?#
%'A1B<8*&'"5B>#*"<88&##&#
&'A&$2%('(&'B,2*&';<8*$28$''
(28*'#&')?'&$'5C5&'2>'(&#D#
''?,2*&'#"812"%&#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################BD#
('3.*$45&'#"812"%&'&$'*$29<882"%&#
!"#$%&'(&')>E&%F<%$,''#
!"#$#%&'#()#)(*+#,&'#-#E8/#
!"#$%&'%1&#'!'
+<8/<#>9<8'(28*'#&'
(<52"8&'$&5B<%&#'"'
G"2H%255&'(&')<(&'#'
I8'*"H82#'(&'J%1K>&8;&'LMNO''
$%2/&%*28$'>8'3.*$45&'607'%#
!'?%<(>"$'*"5B#&'(28*'#&'
(<52"8&'J%1K>&89&##
"'I8'*"H82#'(&'J%1K>&8;&'LMNO'
(1B,2*1'&$'(P25B#"$>(&'5<(":1&#
#'?,2*&'"5B2"%&#
$'A1B<8*&'&8'J%1K>&8;&#
%'I8'*"H82#'(&'J%1K>&8;&'QMNO#
&'R<(>#&'B2"%#
''S82#.*&',2%5<8"K>&#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################BF#
TM'()U(&;'$#
('=%(%&'V#
!"#$#%&'#()#)(*+#,&'#-#E8/#
!"#$%&'%1&#'!'
+<8/<#>9<8'(28*'#&'
(<52"8&'$&5B<%&#'"'
G"2H%255&'(&')<(&'#'
I8'*"H82#'(&'J%1K>&8;&'LMNO''
$%2/&%*28$'>8'3.*$45&'607'%#
!'?%<(>"$'*"5B#&'(28*'#&'
(<52"8&'J%1K>&89&##
"'I8'*"H82#'(&'J%1K>&8;&'LMNO'
(1B,2*1'&$'(P25B#"$>(&'5<(":1&#
#'?,2*&'"5B2"%&#
$'A1B<8*&'&8'J%1K>&8;&#
%'I8'*"H82#'(&'J%1K>&8;&'QMNO#
&'R<(>#&'B2"%#
''S82#.*&',2%5<8"K>&#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################BG#
TM'()U(&;'$#
('=%(%&'V#
!"#$#H'@45*3#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################BI#
'?<>%';,2;>8'(&*'$%<"*':#$%&*'K>"'*>"/&8$W'(1$&%5"8&%'H%2B,"K>&5&8$'X'
!!'#&'$.B&'
!!'#2'J%1K>&8;&'(&';<>B>%&'
!!'#P<%(%&'
!!'#&*'J2;$&>%*'(&'*1#&;9/"$1'&$'(&'J<%5&'
G1$&%5"8&%'1H2#&5&8$'#2'%1B<8*&'2BB%<Y"529/&'2>'
*"H82#'*>"/28$'X'
!
s(t) = cos(2"60t) + cos(2"100t) + cos(2"500t) + cos(2"1000t) + cos(2"4000t)
!"#$#H'@45*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################BJ#
0#'J2>$'&8'B%&5"&%'#"&>'(<88&%'#P&YB%&**"<8'(>'J2;$&>%'(&'
*1#&;9/"$1'&8'J<8;9<8'(>'H2"8'&8'()'X'
!
d H f( )dB
df=d
df20log H f( )( )[ ]
d H f( )df
=ln 10( )20
H f( )d H f( )
dB
df
Fs = "ln 10( )20
H f( )d H f( )
dB
dff = fc
= "ln 10( )20 2
d H f( )dB
dff = fc
!"!
!"#
!"$
!!#"
!!""
!%"
!&"
!'"
!#"
!$"
()*+,-
.+*(-./0
!"#$#H'@45*#KL#07>&@*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################BB#
!" !# !$ !% !& !' !( !) !* !! #"" #"# #"$ #"% #"& #"' #"( #") #"* #"! ##"!'
!&+'
!&
!%+'
!%
!$+'
!$
!#+'
,-./01
2/.,1234
!"#$#H'@45*#KL#07>&@*#M77=#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################BN#
!
"H fc( )dB
"f#$4.75 +1.5
110 $ 92# $0.18
!"!
!"#
!"$
!%
!&
!'
!(
)*!$
!#
!!
"
+,-./0
12345,-670
!"#$#H'@45*#KL#6O)3*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################NP#
!"#$#H'@45*#KL#/7@&+*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################NK#!
Passe bas "Ordre 4 ("80dB /dec)
fc =100Hz
Fs #1.46 10"2
Ff #300
100= 3
!"#
!"$
!!#"
!!""
!%"
!&"
!'"
!#"
!$"
()*+,-
.+*(-./0
!"#$#H'@45*#CL#07>&@*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################NC#
!"" !#" !$" !%" !&" !'" !(" !)" !*" !!" #""" #"#" #"$" #"%" #"&" #"'" #"(" #")" #"*" #"!"##""!)
!(
!'
!&
!%
!$
!#
+,-./0
1.-+0123
!"#$#H'@45*#CL#07>&@*#M77=#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################ND#
!
"H fc( )dB
"f#$1+ 5.75
1080 $ 900# 2.6 10
$2
!"#
!"$
!%
!&
!'
!#()!*
!+
!,
!()!$
!#
!!
"
-./012
34567./892
!"#$#H'@45*#CL#6O)3*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################NF#
!"#$#H'@45*#CL#/7@&+*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################NG#!
Passe haut "Ordre 6 ("120dB /dec)
fc =1000Hz
Fs # 2.15 10"3
Ff #1000
450= 2.22
!"!
!"#
!"$
!"%
!!#"
!!""
!&"
!'"
!%"
!#"
!$"
()*+,-
.+*(-./0
!"#$#H'@45*#DL#07>&@*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################NI#
!" !# !$ !% !& !' !( !) !* !! #"" #"# #"$ #"% #"& #"' #"( #") #"* #"! ##"!'
!&+'
!&
!%+'
!%
!$+'
!$
!#+'
,-./01
2/.,1234
!"#$#H'@45*#DL#07>&@*#M77=#K#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################NJ#!
"H fc( )dB
"f#$1.75 + 4.375
110 $ 90#13.1 10
$2
!"" !#" !$" !%" !&" !'" !(" !)" !*" !!" #""" #"#" #"$" #"%" #"&" #"'" #"(" #")"#"*"#"!"##""!(
!'+'
!'
!&+'
!&
!%+'
!%
!$+'
!$
!#+'
!#
,-./01
2/.,1234
!"#$#H'@45*#DL#07>&@*#M77=#C#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################NB#
!
"H fc( )dB
"f#
$5 +1
1100 $ 910# $2.1 10
$2
!"#
!"$
!%
!&
!#'(!)
!*
!+
!'(!$
!#
!!
,-./01
23456-.781
!"#$#H'@45*#DL#6O)3*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################NN#
!"#$#H'@45*#DL#/7@&+*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KPP#
!
Passe haut "Ordre 3 ("60dB /dec)
fc =100Hz
Fs #1.06 10"2
Ff #100
20= 5
!
Passe bas "Ordre 5 ("100dB /dec)
fc =1000Hz
Fs #1.71 10"3
Ff #2500
1000= 2.5
!"#$#H'@45*#KLC#2#D#$#QRS7<3*#T#3U4V#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KPK#
ZMNO' LMMNO' [MMNO' LMMMNO' VMMMNO'
!"#$%&'L'\2"8']()^' M' _`' _[[' _TM' _LQT'
G1B,2*2H&']%(^' _Lab[' _c' _[ab[' _Z' _Qc'
!"#$%&'Q'\2"8']()^' _LV[' _LQM' _`[' _`' M'
G1B,2*2H&']%(^' _daL' _d' _ba[' _Vab[' _L'
!"#$%&'`'\2"8']()^' _L[' _`' M' _`' _ZM'
G1B,2*2H&']%(^' _`a[' _Qab[' _Q' _V' _b'
A1B<8*&'D'*]$^'
!"#$%&'L'
!"#$%&'Q'
!"#$%&'`'!
cos(2"60t #1.75) +1
2cos(2"100t #" ) +1.810
#3cos(2"500t # 5.75) +10
#4cos(2"1000t # 6) + 4 10
#7cos(2"4000t # 2" )
!
5.610"8cos(2#60t " 9.1) +10
"6cos(2#100t " 9) +1810
"3cos(2#500t " 7.5) +
1
2cos(2#1000t " 4.75) + cos(2#4000t "1)
!
0.18cos(2"60t # 3.5) +1
2cos(2"100t # 2.75) + cos(2"500t # 2) +
1
2cos(2"1000t # 4) +10
#3cos(2"4000t # 7)
!"#$#"'=*<3'7<<*=*<4#>W&<#X@45*#)<;#5*S@'*=*<4##
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KPC#
=8' ;,&%;,&' D' ("5&8*"<88&%' >8' :#$%&' B2**&' -2*' 289' %&B#"&5&8$a'''
7,1<%"K>&5&8$' ;&' :#$%&' 282#<H"K>&' (<"$' 2/<"%' >8' <%(%&' "8:8"' &$' >8&'
J%1K>&8;&' (&' ;<>B>%&' J;' e' !&UQa' +P&*$' -"&8' *f%' B,.*"K>&5&8$'
"%%12#"*2-#&' &$' &8' B%29K>&' <8' ;,<"*"$' !&' e' gJ52YW' g' (' hQa[W[i' B<>%'
1#<"H8&%' #2' J%1K>&8;&'(&'j.K>"*$'(&' #2' J%1K>&8;&'52Y"52#&'(>'*"H82#'
]J52Y^' &$' #2"**&%' #2' B#2;&'B<>%'>8':#$%2H&'B2**&'-2*'(&' J%1K>&8;&'(&'
;<>B>%&'J52Ya'
La! A&B%1*&8$&%'#&'("2H%255&'(&')<(&'%J'D';&':#$%&a''
Qa! G1$&%5"8&%'#2'B&8$&'B'(>':#$%&'&8'()U(&;'&8'J<8;9<8'(&'S'&8'()W'
!&'&$'J52Y'B>"*'&8'J<8;9<8'(&'g']S'1$28$'#P2E18>29<8'&8$%&'J52Y'
&$'!&_J52Y^a'
`a! =8'*<>,2"$&'>9#"*&%'>8':#$%&'B2**&'-2*'(P<%(%&'(&>Y'2/&;'>8&'
2E18>29<8'(&'VM()a'G1$&%5"8&%'#2'J%1K>&8;&'(P1;,289##<882H&a'
+<8;#>%&a'
Va! =8';,<"*"$'!&'e'Qa[J52Ya'k>&#'&*$'#P<%(%&'5"8"5>5'(>':#$%&'B<>%'S'e'
VM()'l'+<8;#>%&a'
[a! '=8';,<"*"$'52"8$&828$'!&'e'[J52Ya'k>&#'&*$'#P<%(%&'5"8"5>5'(>'
:#$%&'B<>%'S'e'VM()'l'+<8;#>%&a'
!"#$#"'=*<3'7<<*=*<4#>W&<#X@45*#)<;#5*S@'*=*<4##
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KPD#
!"#$#"'=*<3'7<<*=*<4#>W&<#X@45*#)<;#5*S@'*=*<4##
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KPF#
!
fc = fmax
!
f
!
Fe
2
!
Fe " fmax
!
Fe
:>E#
!"#$#"'=*<3'7<<*=*<4#>W&<#X@45*#)<;#5*S@'*=*<4##
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KPG#!
p = "AdB
log Fe " fmax( ) " log fmax( )= "
AdB
logFe
fmax"1
#
$ %
&
' (
= "AdB
log ) "1( )
"40 = "40
log ) "1( )*) =11et Fe =11 fmax
p = "40
log(1.5)+ "227dB* Ordre12!
p = "40
log 4( )+ "66dB* Ordre 4
!"#$#"'=*<3'7<<*=*<4#>W&<#X@45*#>*#5*3;4&;7<#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KPI#
62'%&*9$>9<8'B2%'-#<K>&>%';<%%&*B<8('D'#P1;,289##<882H&'%1H>#"&%'<>'
-#<K>&>%'(28*'#&';2*'B2%9;>#"&%'<m'#2'(>%1&'''''(&'#P"5B>#*"<8'&*$'1H2#&'
D' 7Ha' 6P&n&$' (&' ("*$<%*"<8' B2%' #&' *"8>*;2%("82#' 8P&*$' 2#<%*' B2*'
81H#"H&2-#&a' +&E&' (1J<%529<8' &*$' (P2>$28$' B#>*' "5B<%$28$&' K>&' #&'
B%<(>"$'7HaJ52Y'&*$'B#>*'H%28(a'
!
"
J52Y'
!"#$#"'=*<3'7<<*=*<4#>W&<#X@45*#>*#5*3;4&;7<#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KPJ#
6&' $2-#&2>' ;"_(&**<>*' 5<8$%&' #P2E18>29<8' &8' ()' &8' J<8;9<8' (>'
B%<(>"$'7HaJ52Ya'
?%<(>"$'7HaJ52Y'\2"8'X'
3"8;]7HaJ52Y^'
SE18>29<8'&8'()X'
_QM#<Hh*"8;]7HaJ52Y^i'
MaL' MadT`Z' MaLV'
MaQ' Mad`[[' Ma[T'
Ma`' MaT[TV' La``'
MaV' Mab[ZT' QaVQ'
Ma[']J52Ye!HUQ^' MaZ`ZZ' `adQ'
!"#$#"'=*<3'7<<*=*<4#>W&<#X@45*#>*#5*3;4&;7<#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KPB#
La! G1$&%5"8&%'!H5"8'B<>%'K>&'#P&%%&>%'*<"$'"8J1%"&>%&'D'Loa'+<8;#>%&a'
Qa! pY"*$&_$_"#'(P2>$%&*'5<.&8*'B<>%'K>&';&E&'&%%&>%'(&'%&*9$>9<8'*<"$'
K>2*"5&8$';<5B&8*1&'l''
`a! G28*' #&' *>"$&' <8' 2;;&B$&' #2' ("*$<%*"<8' (&' %&*9$>9<8' &$' <8' /2''
("5&8*"<88&%'#&':#$%&'&8';<8*1K>&8;&a'A&B%1*&8$&%'#&'("2H%255&'
(&')<(&'%J'D';&'(&%8"&%']&8'B%&828$'J;qJ52Y^a''
Va! G1$&%5"8&%' #2'B&8$&'B'(>':#$%&'&8'()U(&;'&8' J<8;9<8'(&'SW'!H'&$'
J52Y'B>"*'&8'J<8;9<8'(&'g']S'1$28$'#P2E18>29<8'&8$%&'J52Y'&$'!&_
J52Y'&$''!HegJ52Y^a'
[a! =8'*&':Y&'!HeVJ52Y'&$'<8'*<>,2"$&'>8&'2E18>29<8'$<$2#&'(&'L()'
52Y"5>5'D'J52Y'&$'(P2>'5<"8*'VT()'D'!H_J52Ya'G1$&%5"8&%'#P<%(%&'
(>':#$%&a'
Za! k>&#' 2>%2"$' 1$1' #P<%(%&' (&' ;&' :#$%&' *"' #2' ("*$<%*"<8' (&' H181%29<8'
8P2/2"$'B2*'1$1'B%"*&'&8';<5B$&'l'
!
sinc (.078) " 0.99# Tg fmax = 0.078$ Fgmin =12.82 fmax !
!"#$#"'=*<3'7<<*=*<4#>W&<#X@45*#>*#5*3;4&;7<#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KPN#
!"#$%&'(&'%&*9$>9<8'r'"(12#'s'<>';<5B&8*29<8'&8'8>51%"K>&'2/28$'+jS'
!
fc " fmax
!
f
!
Fg
2
!
Fg " fmax
!
Fg
:>E#
!"#$#"'=*<3'7<<*=*<4#>W&<#X@45*#>*#5*3;4&;7<#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KKP#
!
p = "AdB
log Fg " fmax( ) " log fmax( )= "
AdB
logFg
fmax"1
#
$ %
&
' (
= "AdB
log ) "1( )
\2"8'2BB<%$1&'B2%'#2'H181%29<8'D'J52Y'X'
!
sinc1
4
"
# $ %
& ' ( 0.9 ( )0.9dB
\2"8'2BB<%$1&'B2%'#2'H181%29<8'D'!H_J52Y'X'
!
sinc3
4
"
# $ %
& ' ( 0.3 ( )10.5dB
G<8;'#&':#$%&'(&'%&*9$>9<8'(<"$'2BB<%$&%'>8'2n2"-#"**&5&8$'
(P2>'B#>*'MaL()'D'J52Y'&$'(P2>'5<"8*'`ba[()'D'!&_J52Y'X'
!
p = "37.4
log(3)# "78.4B$ Ordre 4
!
p = "47
log(3)# "98.5dB$ Ordre 5
!"#$#YO7'Z#>W&<#3[34\=*#>W)+,&'3';7<##
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KKK#
=8';<8*"(4%&'>8&'2BB#";29<8'D'"8*$%>5&8$&%''
;2%2;$1%"*1&'B2%'*&*'&8$%1&*'*<%9&*'
G&>Y'2;9<88&>%*'$<>$'<>'%"&8W'$&5B*'(&'%1B<8*&'QM5*'
I8'2;9<88&>%'D';<5528(&'282#<H"K>&'X'
•!'!%1K>&8;&'52Y"52#&'(&'H181%29<8'`tNO'
•!'7&8*"<8'(&';<5528(&'&8$%&'_['&$'['/<#$'
•!'?%1;"*"<8'(&'#2';<5528(&'[5u'
I8'B%&5"&%';2B$&>%'
•!'!%1K>&8;&'52Y"52#&'(P2;K>"*"9<8'LMMNO'
•!'u2%"29<8'(&'$&8*"<8'(&'M'D'LM5u'
•!'?%1;"*"<8'(&'5&*>%&'LMvu'
I8'(&>Y"45&';2B$&>%'
•!'!%1K>&8;&'52Y"52#&'(P2;K>"*"9<8'LMtNO'
•!'u2%"29<8'(&'$&8*"<8'(&'M'D'Lu'
•!'?%1;"*"<8'(&'5&*>%&'[5u'
!"#$#YO7'Z#>W&<#3[34\=*#>W)+,&'3';7<##
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KKC#
S' )' +' G' p'
!"#$%&'()")*+,-./&'(
]7=^5*# KI# B# B# F# B#
H*# BG_1`# FC_1`# KPP_1`# GG_1`# IP_1`#
]7=^5*#>*#^'43# KI# KC# B# KC# KC#
!*<3'7<#Ua7@4V# bPLKPc# bPLKPc# bPLKPc2b9GLGc# bPLKPc# bPLKPc2b9GLGc#
d)'<3# KLKPLKPeLKPf# KLKPLKPeLKPf# KLKPLKPeLKPf# CLGLKPeLKPf# KLKPLKPeLKPf#
0+$1&'()")*+,-./&'(
]7=^5*# KI# B# B# F# B#
]7=^5*#>*#^'43# KI# KC# B# KC# KC#
!*<3'7<# bPLKPc2b9GLGc# bPLKPc2b9GLGc# b9GLGc# b9GLGc# bPLKPc#
2"3+/#("/4%$-./&'(
]7=^5*# P# B# F# KI# C#
G1$&%5"8&%'B2%5"'#&*';2%$&*'SW')W'+W'G'&$'p'#2'B#>*'2BB%<B%"1&'
!"#$#YO7'Z#>W&<#3[34\=*#>W)+,&'3';7<#$#/7@&+*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KKD#
561+""&/$'(#+/#(+/($-&"((
Q'*<%9&*'8>51%"K>&*'
561+""&/$(7(6+44)"8&(6+"1"/((
QtNOW'B2*'(&'B%<-#45&'B<>%'#&*'+jS'7;'w'LMv*'
_['D'['/<#$*'
?%1;"*"<8'(&'[5u'ex'+jS'LL'-"$*'5"8"5>5']LMUQyLL^'
9):#&/$(;((
LMMNO']QMMNO^W'B2*'(&'B%<-#45&'
?2**&%'(&'M_LM5u'D'M_LMu'ex'H2"8'(&'LMMM'
?%1;"*"<8'(&'LMvu'ex'LM5u'2/&;'H2"8'(&'LMMM'ex'+Sj'LM'-"$*'5"8"5>5'
9):#&/$(<((
LMtNO']QMtNO^W'B#>*'B%<-#1529K>&'52"*'J2"*2-#&'
?2**&%'(&'M_Lu'D'M_LMu'ex'H2"8'(&'LM'
?%1;"*"<8'(&'[5u'ex'[M5u'2/&;'H2"8'(&'LM'ex'+Sj'T'-"$*'5"8"5>5'
!"#$#YO7'Z#>W&<#3[34\=*#>W)+,&'3';7<##
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KKF#
S' )' +' G' p'
!"#$%&'()")*+,-./&'(
]7=^5*# KI# B# B# F# B#
H*# BG_1`# FC_1`# KPP_1`# GG_1`# IP_1`#
]7=^5*#>*#^'43# KI# KC# B# KC# KC#
!*<3'7<#Ua7@4V# bPLKPc# bPLKPc# bPLKPc2b9GLGc# bPLKPc# bPLKPc2b9GLGc#
d)'<3# KLKPLKPeLKPf# KLKPLKPeLKPf# KLKPLKPeLKPf# CLGLKPLKPe# KLKPLKPeLKPf#
0+$1&'()")*+,-./&'(
]7=^5*# KI# B# B# F# B#
]7=^5*#>*#^'43# KI# KC# B# KC# KC#
!*<3'7<# bPLKPc2b9GLGc# bPLKPc2b9GLGc# b9GLGc# b9GLGc# bPLKPc#
2"3+/#("/4%$-./&'(
]7=^5*# P# B# F# KI# C#
?2*'(&'H2"8'LMM' +jS'>8"B<#2"%&'?%1;"*"<8'"8*>z*28$&'?2*'*<%9&*'
8>51%"K>&*'
!"#$#0743#+57'3R3#g#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KKG#
upA70+S6pRpj7'
)'!"#$%&'D'%&$2%('(&'B,2*&';<8*$28$'
*'A1H"'B2%'(&*'1K>29<8*'("n1%&89&##&*'
+'k>"'8&';,28H&'B2*'
,'A1B<8*&'J%1K>&89&##&'(P>8'*.*$45&'
-'R>#9B#&*'&8$%1&*U*<%9&*'
N=A0{=j7S6pRpj7'
.'!"#$%&'&##"B9K>&'
/'?&8$&'(P>8':#$%&'
0'p8$%1&U*<%9&'>8"K>&'
1'3.*$45&'*28*'("*$<%*"<8'(&'J%1K>&8;&'
2'I8'("2H%255&'B<%$&'*<8'8<5'
3'A1B<8*&'D'#P1;,&#<8'(&'N&2/"*"(&'
!"#$#0743#+57'3R3#g#/7@&+*#
."/01#2#0)34*5#657#8.01#9#8/0# :+,&'3';7<#*4#45)'4*=*<4#>&#/'?<)@#$#A<*#'<457>&+;7<######################KKI#