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A#01_Solutions

# A#01_Solutions - Assignment#01 Solutions — p.1...

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Unformatted text preview: Assignment #01 - Solutions — p.1 ECSE—2410 Signals & Systems ~ Fall 2006 Due Fri O9/OE/06 WWWHMHWWWWM Wmmmm Given the signal shown, xtt‘) 1(40). Sketch (a) x2 (I) m x(t -—1). Shiﬁ to right (delay) (1)) x2 (I) m x(-t ~§~ 1) . Fiip and shift to right (deiay) (0) x3 (I) : x(t +1) . Shift to left (advance) (d) me = x(_r 4) . _ Fiip and shift to left (advance) 4 2(20). Express x(t) in the ﬁgure above in terms of step functions, where each shifted step function appears only once. x(l) = 4w) —-u(t M1)]+1[u(t—l)—u(r-2)]+ (44,3114: _2) —u(t 4)] = ru(t)—- (r w1)u(r — 1)— (t — 2)u(r — 2)+ (t w 3);:(1 —3) check. 1 _ Assignment #01 - Solutions — p.2 ECSE—2410 Signaks & Systems — Fail 2006 Due Fri 09/01/06 W W 3(40). Find the running integrei, 51(1) m Jx(r)dr , 0 s: _<_ 4, where 25(1) is the signal above. (3) Sketch (10) v5. 1‘. Labei and scale axes. (b) Express a(t) in terms of step functions. You can express your answer in either form below: am = ﬂ(DECO-110”1)]+f2(r)[u(r“BMW~2)]+ f3(r)[u(t W2) _u(r “3)]+f4(f}u(r — 3). 01' a(:) = g;(t)u(t) +g2(t)u(r m1) +g3(t)u(t W2) + g4(t)u(t —3). FM m%& a (Ma/Ma ”é Q69 2 j {Tum} — (3T4? aC’F-i) w- (ﬁn-2.) eff—Z.) "F Cf—sjbcﬂ‘ﬁﬂdé’?‘ ‘90 t “1‘: t f V .. A {:i‘: "29+ °_ 31% m3 .-.- [3734*] Law —- [ jaw-aydrrluwi) -~ UP 23 T] ‘4 [£ch 3) 2 o i Assignment #01 - Solutions — p.3 ECSEw2410 Signals & Systems « Fail 2006 Due Fri 09/01/06 Graph of (:0) 125‘: using MATLAB. 2-5—W7_"H— : " ; ““““““ : t:[0:.01 :4]; 1.103930; u1=t>\$1; u2=t>:2; u3=t>:3; a020.5*t."2; alﬂ—0.5*(tu1)/‘2; aZﬂ~0.5*(t«2).A2; a3:0.5*(t—3).”‘2; amaO.*u0+a1.*u1+a2.*u2+a3.*u3; p101(t,a); grid; Assignment #01 -— Solutions — {3.4 ECSE-2410 Signals & Systems - Fall 2006 Due Fri 09/01/06 Assignment #01 ., Solutions — p.55 ECSEuZMO Signals & Systems u Fall 2006 Due Fri 09/01/06 Assignment #01 - Solutions — p.6 ECSE-2410 Signais & Systems — F31} 2006 Due Fri 09/01 /06 Assignment #0] - Solutﬁons — p.7 ECSE—2410 Signals & Systems - F311 2006 Due Fri 09/01/06 m9 _. QM w it] WM; 2344 s l>uz4y46i§ufii ...
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A#01_Solutions - Assignment#01 Solutions — p.1...

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