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exam1soln

exam1soln - EEE 203 Exam 1 February 19,2009 This is a...

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Unformatted text preview: EEE 203: Exam 1 February 19,2009 This is a closed book, closed notes exam. You are allowed one cheat—sheet. Good Luck 1 1. For \$05) shown below, plot the following functions (a) Q>(t) = w(-t + 2) (b) 13(13): 32(t/2 + 1) (C) C(15) : \$(t)[U(f) — ”(t - 1)] ‘ 27L 6%) 2. Consider a. discrete—time system with input signal-ﬁn] and correspending output signal \g W y[n] = sn[—n] + 2. Determine whether the system is h (a) Memoryless (315" 5) (b) Linear (c) Time-invariant In each case, justify your answer. (a) Net Wtﬂmﬂ- DLPWA} 0m, pm We Gtm we 7 am On W WEN/0t ((0%. was. ‘ ‘ @) Tgwifm] + MAN} .1“: aTg'x‘EmeT \$291} a LHsaOOle—nj + b EEC—n] + ’2, (2143—9 QC‘X‘E—M] "’r 21> + b ngihh'lH- '1 > : DOUGH} + b'IQE—m] + 21+ Qb. " \Q}... LH\$ :1: \$2143 :7 Net W L H p: ‘7" 5 LJ .i- [o HEP-ts QWE- 3. Consider the following interconnection of LTI systems. Here h1[n] m u[n] — u[n — 2} and fight] = §[n] — 6[n — 1]. What is the output y['n,] When the input is cc[n] = a”u[n], 0 < a < 1. Give an algebraic expression. ' >c Blew ‘59] W his] him]: his??? “2911 ' —; 02¢sz vim—’23) * (\$93- \$941). : (gym-3+ 93m) % (gm—SUN) :2 ginj+7gisif1 - Sibrﬂj “ ‘3[“’2] : SM} 9:943 A; l \éim—l : 9C Em] 9< him] own as (am — mm 4. The impulse response of an LTI system is given by h(t)— — 8"“2tu (15). What is the output y(t) when the input is :1:(t)- — u (t)— 1105— 2).? M ’2'.) \QP’E‘; ~Q’t —t..r2_ t'l I —‘2t -QCt—"2,) : ”ER -9 ‘— eﬂt [34—4] M ‘._ (:3 I t0 '1:- v G /\ ruf— /\ [Q 36) ...
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exam1soln - EEE 203 Exam 1 February 19,2009 This is a...

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