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Unformatted text preview: Assignment #02 —— Solutions — {1.1 130832410 Signals & Systems — Fall 2006 Due Tue (BIOS/06 1(20). Given x(t) m :4: +1) + W) m w m 1) w “(I m 2), sketch (a) By Mn} and (b) Od{x(1)}. 960) Answer Answer Assignment #02 — Solutions ~+ p.2
ECSE—2410 Signais & Systems  Fail 2006 Due Tue 09/05/06 2(21). Given the sigma} shown, A x(I) (21) Express x(r) in terms of step functions. (Any form is ﬁne. Be carefuﬁ) d2?) in terms of step and delta functions. (13) Find the equation for Mr) 2
(0) Sketch w(t) .
(a) :60) = r[u(t) m u(r w 2)]+1[u(t — 2)  u(t — 3)]— (z m 4)[u(t m 3) _ “(t e 4)] Or
x(t) m ru(t) — (I — 2)u(r w 2) ~ u(t m 2) — (I — 3)u(t ~ 3) + (t w 4)u(r w 4) (b)
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muU)—u(r——2)w~§(tm2)—u(I—3)+u(t—4) (e) mm 5
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E Assignment #02 — Solutions  p.3 ECSE~24E O Signals & Systems “ Pal} 2006 Due Tue 09/05/06 4(10). Find the value (a number) of the integral}, If u(r)u(—r + 2)dr . M a. ﬁfm 3 a. i
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5(18). Evaluate (a) §[k] (b) 6ch (Some may be constants, others sequences of n.)
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K "in. HQ) F2: “up FL; “W 6(21).Eva1uate (a) je‘r§(r~1)dr (b) je"u(r)dr (e) Te‘fukyz’r (Some may be constants, others functions of t.) ‘t t t “I
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 Spring '07
 WOZNY
 Emoticon, TUE, Step function, Delta Functions, ECSE~24E O Signals, e‘j SMM

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