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A#01_solns - Assignment#01 Solutions p.1 ECSE—2410...

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Unformatted text preview: Assignment #01 - Solutions - p.1 ECSE—2410 Signals & Systems - Spring 2009 Due Fri 01/16/09 x(t) 1(25). Given the signal, gr :I , sketch z -1 0 1 (a)(10) v(t) = x(~—t —1) ,3 my «513+ NR =9 ’X‘C‘E'fi} .7 " é (25> g 2— ?(zw; fine) —... 9((4: «3) J Gk,»- (b)(15) w(t) = x(-— 2t +1). Use shift, flip & scale. Show intermediate graphs. K159) Assignment #01 — Solutions - p.2 ECSE—2410 Signals & Systems — Spring 2009 Due Fri 01/16/09 2( 15). Find the change of independent variable, 2‘ = 7(t), so that w(t) = x(z‘(t)) , where x( 1 ) WU) /T=T(t)\ l Assignment #01 —- Solutions - 13.3 ECSE-2410 Signals & Systems — Spring 2009 Due Fri 01/16/09 sketch w(t) = dx(t) . dt 3(10). Given Assignment #01 - Solutions - p.4 ECSE—2410 Signals & Systems « Spring 2009 Due Fri 01/16/09 4(a). Continued. i 4 —{~_ Z. L (b Sketch a(t). 4:599 :44. Fwfi‘i‘ta) Assignment #01 — Solutions - p.5 Due Fri 01/16/09 ECSE—2410 Signals & Systems - Spring 2009 sketch even part of x(t). n e V .1 G \W O 1 ( 5 Assignment #01 — Solutions - p.6 ECSE—2410 Signals & Systems - Spring 2009 Due Fri 01/16/09 6(10). Express in terms of shifted and magnitude—scaled step and ramp functions. > 33-) z: ‘E‘ (00+) ~ MHz—:3) + (4t +00:ij m “Hazy ;: t 14.15%“ («23C+(1)Lt{f“£3 u(—t+12>LLL~E*-Z) ““4 4-H 3 J; L403 -— (Zia—z) oLL-E-l) - utt-z)+ (1%) “5.5.2; + “Le-2.} We 3 m7) ... ert~Q —~ We" 13+ “t"z) "F “5“} I ...
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