hw16 - Assignment #16 -#16 Solutions Assignment Solutions -...

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Unformatted text preview: Assignment #16 -#16 Solutions Assignment Solutions - page 1 ECSE-2410 Fall 2005 ECSE~2410 Signals & Systems - Fa112003 Tuesday 11/16/05 Fri 11/7/03 1. Ca.) ~ IX.t) =-0 ~J Kt:s,+2.) ~ . \<LS+z) L J2f,) ~ ~L~ - - SLSi-I) - -.:y /<:.[5>+2..) SL~)-1 l+ Jc.l~+2.l SL~~') \ + \ 52.+ ~(, -+1<-) '2.K \ ~ (1) Ftn..~U) =-0 .DC~) 0 -, + -i kls.+-z.) s.Ls.+l) l-.!. ~ ~+ ~(S ) -' Dc,) YlS) ~~2 .1<;.~+ I) --' . 3<)) :::. l ~) l~ tt $( -!-I ) 1< LS+Z) - -) I \ S't sLt+N+2./<.. (c) ~.~ ~ dt~/~~-R f4 rloi)~~ ~LI-I-I9+2.~~O \ JaJ feet"!; Cd) Fin ~i,\ ~ COlt< dtl~f'\~ ) r -= =- 1 2- ed cru1v. ~ ~~k =+-Z!u..\~+ tuij =-0 ~'C- -ro (~ s [~<e..~'. "2 e.r ~~+2.l.tL ~ ) EBr~<k. ~ l'~ f lVl\ l+ J<:- -:::.tV; f ;::;.7 :z r-- =- 1/ w( I . ;z. trt. J<"-- roiC. ( ::. 0 + :=::-> ' r::::.3,:!::. 2 J:'L =- r 5 ;~ '3. (9,~1 l - L Assignment #16 #17 p 1 Assignment Solutions ECSE-2410 Fall 2005 ECSE-2410 Signals & Systems - Fall 2004 Tuesday 11/16/05 Fri 11/12/04 ECSE-2410 Fall 2005 ECSE-2410 Signals & Systems - Fall 2004 Assignment #16 Solutions Assignment #17 p 2 Tuesday 11/16/05 Fri 11/12/04 Assignment #16 Solutions Assignment #17 - Solutions - page 1 ECSE-2410 Fall 2005 ECSE-2410 Signals & Systems - Fall 2003 Tuesday 11/16/05 Fri 11/11/03 L T~+ (~) Cb) 1I,z.t. Fit. ~~ o->Ja' }::.:;>o &!)~):. $+1 I ' - >- rl~ -I ~ - fJtlj = (.S- V(~t 3) ., -3 , ---( ..- --- \ I 'P6C::: Z [;I"'~AA"'-kqu~ 141<.G~~ =0 A-L==-\I j<:.::: ~1Ji) = - 's.~+2~-3 -' v .u.J::=.- z,s.f-~ i. - 0 = 7 oS=--l -'. r!?~ -~t- ~$; -!l - ds. f cs'l.+2J.-3)1 - cd Ga) J.jlt)= \ S ~-t- C; + I =- I 1 r z.. t~ f;,.,..L ,\2.+-1. l:- 4.,J -4- \ Cd) 1 P!%=-L .'. Z~t} AA,,:lqo~ At'" -'-Y~ ~ 1 ~)~) PlS- " ~I &~ ../ .',J- ~I'J ~::.- -L ::. (b; 0 I ~~ s+ l S. '- . . dt: . <? G s,+l)(Z$)-S~l) (St~Y'-. Z -~=o -= d =. 2" W~~ z.. .5 +2.> \. -'. \1SJ:POl <:: c 'Kt~f>'J tit t ~ s= -2/ )Jole. ~ ~e.:t ~ ~L is 4 Cl'fJe. CkTNd 5=-1. Assignment #16 Solutions Assignment #17 - Solutions - page 2 ECSE-2410 Fall 2005 ECSE-2410 Signals & Systems - Fa112003 1. UT1\t UJ) {(M.t -=7> Tuesday 11/16/05 Fri 11/11/03 I+ ~6~tJW 0 ::. su.1s ~ c. G"' tJw f+jwJ2:r ~1-Ll<t-1e rt,J) l+ ~ C>tlJ ,2- ..::: 0 -=- ( ~2.+ l'-.st l'- =-0 /<.( Q"'t1~)+~:.0 F't. ([2.. -LlJ'" t '~d r~ t J J::,.cr+f<-=0 ~> . ~A~A.~~ f . ~11-. t.~> 2.a-~-1:-I<~=-O , 1<=-Zr" u-l.- u.f=-+ {-z.<r)cr""'C-2..a-} =- -q-'"=D ~~- '2..~:'O kt . '. f12. ~:. ~ t W::(j-- 'X2..+()2..+-Z'X. -0 +\ -l ('X.+ 1)2. +{ l =- ~ c .- ( L f.R .I (e) \ Q~)~) -= C?+lj~ '3 S . Pf,s-l/ .' . .i- M~f dil-1&J' I - s3 ~- - (?+t) Z. J t- =- ~t ~z..(3f)-i3 (*tlL(t)) ='0 - 7 s.-ts.::.O ~ I L>-t t) \--1 l '* . . n . ..r ~.u.iYdJ()1>dJ'~-~~ !r>'iA. ~..(" "'-!- ."-3 /<SD1/l.V - . ~{jl-f: 0' I+ <.1- =-0 -=-1 + 14 l< ~+V: 7 $ ~+ /'&L + 2,l::HK:o. s2t- f... 0 0 3 &~ l j(. ~ j ~? K.pr ~ ~ K:.O "'"7 ~. ~: ~:~. ~ r.uJWgW ,', ~,.t~ \ ~=~:lJ Assignment #16 Solutions Assignment #17 - Solutions - page 3 ECSE-2410 Fall 2005 ECSE-2410 Signals & Systems - Fa112003 1. Cote, i (-1 ) Tuesday 11/16/05 Fri 11/11/03 . s~Zs.J:1.. :.l &,/.}.-I) S2-f>-L) J G.j) ::; HlS) ..i.~ St if+ I \ ~s.~ " ::::. - ~ ~-.s.2.. "' ~ L+2..t -tl.. ~ "'- ( ~ (~"'+~~+2.)(~"-~-(~-S'Xls...t) ( S~Z$H.)" +'i:$'I } :..o ' !~ do.\ A.~..DJI t:J ne. -biA do. = s{ 5$+ i's. ~ ) Q ::. 0 t "uti tUA~ Jde. d -to eM cr . : t'",dts, c.:."" So =- . "- ~ ,', -2,!. i"J1.2- ~ juJ ~4>!-11 li\ot<;)~: 1 ~. $'\ )BAP a.~ = t1.s'l \ + l::.. &~zs:tz.. -::=.0 S'l.$.-I) " =? S ~-r (1<-0$,,+z.Il..> '2."=-0 + ~~ ~2... ~u.~ s", l I z.~ 7.1<.~'I~~" C~-I).s2..r'Z.\<-=o ==r I\) -Iv 8"'-,,'. 2j(. 'I.-'tt- t:...\ S \'t:o..o :;::. 0 ,'. ~ -i:::,iz- J SI &-!J{~-~ } I'-\ 0 ~ ~+ to ~ ~7 ;::. ~Q 2..~ 1'-;::.2Clt-:Q I~ ir~lI'\\trf ~e... ) Assignment #17#16 Solutions page 4 Assignment - Solutions ECSE-2410 Fall 2005 ECSE-2410 Signals & Systems - Fa112003 Tuesday 11/16/05 . Fri 11/11/03 1.~+. ( ) 6 6W a /-IIi) '" $. 50 ( "+ 2.>-1-2..) - + !)(.~ - I) ('501'1>'4.[ ~R6-= I~ ~<Pt'~ .4A---l~ . j eo'"' ~ ~1v; k -=. - E>~z;.+zJ l>+-(~-I ) i. ~ (.b1."")[~<-i-~ - (S~+zJl.rl~ q., ~ : - { . ( ,~-i) ... ) ".0 =7 0; - 5.t -'ts-z' =-U r~~ c.~~ NAiU\B)4.VL 2, '" I f ." t~t . \ ,~t.. '=--1.iS I,.. I 2 -I,li8:CJ. ,Sz.. -as - (~) 6~= 'JA..~""'=.\ <>. '- f-$ .:: - ~ So-l ~S I2.L Pt r.uJ ~ [<;t$+3) ~.A W~ V"' ~~ oS: 2.+ '" ~~~ ;-1 , 1/:. +b 'i ($-1> ( zs, +s) -{; 1- -1\1-. 2.r~+iJb),.. :. 0 =-? b~ :zs. -1/ :. 0 r". ~ S", - 2,l.f" q.H ~~~ JW~ W s..1 ~~ '{-.Oft. I?k~ ~St ~J.1",3) ft>;~"f~ crl So" -Z.'t~ I T, ?," ~ "~.dt(.'~ ct \. ~~ . ~IJ . /-t. "'" 6-&) -=0 ~) 14-~ ",t- -7 $\ Sls-\<)+Cr:.+i')=ti (:e. ~., ~ -')\33'-\ S ~"111~~) ~ ll-::.S '\ O:>.)I r;2..+ ({e.~ . dui4R\ \ $= ~\ JiI Assignment Solutions - page 3 Assignment #16 - #16 Solutions ECSE-2410 Fall 2005 ECSE-2410 Signals & Systems - Fa112003 3. Tuesday 11/16/05 Fri 11/7/03 I#+lit) tl.Liq ~~) ..::=. G~ s+~ [ r~c. j:'-1'1 = Wl?) "" ~ c! ['Ie. Cb)~) = ~.G I -..,. ~ "- (Ul- '1") = k l ~ T.u.f. 6,5,1 ..... 0: ) H-'+=- -1+ tL G~ L(1 \ --L- 3c!& JI'~~1 &- ~~ a.!.s~"*) =7tu , , \I?~ ~ \. \ CL \ ~ ' - 1+Gi- It'-'dB) [d) :rJ~)~-1}RI~) l - ~ \K :~,-? 0..0 to "'" ) l: . ~U-t~) <U ::'l1SJ ",. . $~:' - ~ t: =t ~ ( U = I+~ - ) bC <:14~" ~ "TC-=- (r-ertuurt) S-t"~ ~~ \ U...I:AJIi.IL J) ~ ce) & lSLU c.L.== 2- &toOl- :=. ~ 6+ \<6 aUHC-,) &~s;rtlA'd '. ~ 2..0.. =7\ TC 1 rlJ ~ W ) I~ = -;J/+t6) :=. _G ~ <J bc.,'l\'V\ ++..6 Aj~R. ~C- ~'~ - ~-~ 8"" 1\ )- CBLU) ==- (~~ ( rvJckLtd..U -Ie F4)) =6 It l~ (c~ Coot.l~"t) ~~~~L! (uJkJ.. ~) 1<-) ...
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