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A#06_Solutions - Assignment#06 Solutions — p.1...

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Unformatted text preview: Assignment #06 - Solutions — p.1 ECSE—2410 Signals & Systems ~ Spring 2009 Due Tue 02/03/09 1(20). Find the step response (in closed form) of y[n]— % y[n ~11: 2x[n] using classical techniques (i.e, homogeneous and particular solutions.) MMwog $4): £5} mm: A?" QWLS, Agfi~ 1.742. 4:20 42,“ (afiéflw 2? “3‘2; $4155}: AG) ELMR‘CWQM 94": 29M 39% k 9J5 l<--'—Sl<=Z :7 K=~5 @“VW 901” 3w12AC3j12-l‘3 r2730 ..l a/M—é—J +3 >~=> e- lgajaig~<fln “5'3 ( Assignment #06 - Solutions -— p.2 ECSE-2410 Signals & Systems — Spring 2009 2(30). Solve y[n]—% y[n — 1] = §[n]+ u[n], zero initial conditions, by means of (a) Table of iterations, as done in class. (Find terms y[n], n = 0,1,2,3,4.) V1 85; us} M 3-11 EMA 'L 6—13+SG3+LLE‘HJ Qtz1=§€2l+c +1 :1; Jada Ewen;- 2. m3} (b) Classical techniques (express solution in closed form here.) @Fmd 9k? wsggmb 313233 —- ~21 ark-‘3': Lam Due Tue 02/03/09 :4 i, i... 3 LLUU—Ltmail) +62.) - Mal 4r zmurzl] 2< E”: M+%Ukll+lw‘fl U\ " -- -— 5:3 °- ZSJ’Q‘JV‘QW e6?) MUM) 3" //€ nut}: pf; ‘ M Assignment #06 -— Solutions — p.3 ECSE-2410 Signals & Systems — Spring 2009 Due Tue 02/03/09 2(30). (b) Continued. Solve y[n]— % y[n -1] = 5[n]+ u[n], zero initial conditions, by means of classical techniques. M‘iQOA grfii": . gag wail-fl ame— £33-11; um:— ua~n+ am 2 2 Uta] m Uta" i] éim flue?) ~.—: [LE-)3 Lita} (gee Frem‘wufi gait-J w .— 0“) ..... gm 2.: zflzé-fijuaj -—- LZ~ (fi) NW“ :44 : (4f- um». Zufi-il) —~- 2 (gnaw +623 MUN} ’ n -i __ __ a 2cm]: Jr mas—zuzwl 423—) [XL-é) M- Weill “(M 2.80:3 WK“ S35»: Assignment #06 — Solutions — p.4 ECSE~2410 Signals & Systems - Spring 2009 Due Tue 02/03/09 3(20). For the circuit shown, C =1 (a) Find the differential equation + i + Assignment #06 —- Solutions — p.5 ECSE-2410 Signals & Systems - Spring 2009 Due Tue 02/03/09 4(30). Find the impulse response of y[n]—— % y[n -— 1] '2 x[n]+ x[n — 1] by means of (a) Table of iterations, as done in class. (Find terms, y[n], n = 0,1,2,3,4.) (9 the) :21 £0) for: I? W 46"“; :43t‘5r cal ”We 15% fail“ +0 616333;:(G’G'2’Xafix’cfi—ij {5 $233+ sci-:32: ESGJ+SU~11 Ba SWFagl‘hovx/W Otdptftts Raizmw; Rail-Alan} .: (“£th “\‘(jLJWLCVIJ @L’ if“ ...
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