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Fall 2008

# Fall 2008 - E SE 3 37 Icfw_ame Exarn I V ID n o Fall 2 008...

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ESE 337 Exarn IV Fall, 2008 ID no. FIR filter of order 2 to LS match the ideal highpass filter -J' with I{ame 1. Design a type I Ha(r) - D(u)e 0 f o r 0 < L r S 1 1 f o r l . 5 S ' . , 1 r (25 points) Solve the set (simpler) or the inversion 1 | - d - b l - a d - c d l - c a J of two equations formula . 4 rni = /', f'7 d/"J - I i/'J " 4r' 7= z Af"J d ftJ: c,6zc\6 d t / l : " c ' s ' 7 * / /' fl 7' ,,,6>tt6 ( D(,r) - t at u : 0,0.8, 1.5,2.2, and zr. using the elimination method l a b l l c d ) l/tS,l =4rrl , trzli-'n 4t,t l/f u"") - 4r,'!) 6-'*)'ttt 4ltrr; = ,lf,:'J r ,///1 61,r /d fr uz( 1 f , l ' , ' ( 4 P ' { - l y r r ' t l l , I r ,./o/,i llantl'l / l'":,:;J l: l -4 rtl - , t r t j 1 - i / t / tt" Lt tlfl /,(// /1 (/tJ flr;;ll'fl i l i t r / / / 1 l , , 1 , l, F,ti) {,o.J/ -t,rtf, J! / c./'/) jl | | :,'ll, I L / - t J I f r,t/r 'i !'drtl 1 i ..J 1 fr ,tv )-''r r{ Jin u} J-- [- r's tt ) tir1' otft't/^= -*tt'7/ ; dizT iliJ ) i *t,p:f V/ "+ r,6z ai i-'- ,,,XIt jl--

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(-'onsit'ler .1/1-'r) = Find a stable G(..) ro t[at j(Jt7o,)ir - different one (5 points) - 5 ' + l , ' o ' b t l -111*'2). (20 poirrts) C'an vorr fintl a - r l s n - r ) ( s - r ) r"'{ (*s') : 5 e ' , I '-s'6 r t t lP t:n ) = e i 4 prr)/6 e 5 / ; - t A = t ' t l . t ' L / ' t fr/t : € s't -- t +'-) *, .?
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