A#02_Solutions - Assignment#02 Solutions p.1 ECSE—2410...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Assignment #02- Solutions - p.1 ECSE—2410 Signals & Systems — Spring 2009 Due Tue 01/20/09 1(32) Evaluate: «i (a) je “6(1- 1)dz' mjé‘étmléfi‘ - é‘SSC’t'DA? 7*" 3 WM) ~Q‘} , 15 't (b) [(35947 1:. S 4% :3 "6:1: -{giq z. Cg~é£)fi&) “°° 2 {2 E? 35179 *3?c; m ‘1 — ‘2 ,. (die 5(7 2)dT a: a §C¢q13$§03£2£ «2344?: “0C: “a: ’l (d) e u(’r)u(— —.r+1)dz' —.... v/Mx —oa (21) Express x(t ) in terms of step and ramp functions “‘33 “WC“? “LN-l): (tau ‘31s) (vim-n ow") tiara) :2 wiuLfi+um [beta-z) “flouti- 2)...w L-‘wtKifléafi-lei‘f: a)u&$2fi)+u€£— 2,) ma: 4% 3+aieg.z)+;t+~a + [fie ‘3 ~z + also. i] 9 mt} == we} {~ng + balsa) +29%?) (C) Sketch w(t) Assignment #02- Solutions - p.2 ECSE-2410 Signals & Systems — Spring 2009 Due Tue 01/20/09 3(16). Using the basic definitions of linearity and/or time-invariance, verify that ~ 2 ~ . (a) system y(t)— t -x(t—1) is linear. 6? I Q 37f} .- {fir‘é’fl‘é’l} «QQ+ gag/“9‘3 tzfifi‘i) J 32%) assists-s) New tam xgazaaesssgak EMA) "TEE/pt 2. z. ' £3 a f z. 3ng e sigvgz’) —..— t [new £19.43] a a. «eggs-4)) 4-}; if: gages) 2‘ QgrxLfi't‘b‘sz—J 3 Fag . ism. (b) system y(t) = x20: - 2) is time—invariant. 62W 311:9 I 3%) :: Kztfi- 2:) 122+ gm == icing—z) Aim +51“ x7e): QC (:e— fa‘) Ttmx 323.}: 24 :&~2)- ”(Li Hegel; 2T3”: $12/5£~a)~£>xé[email protected]“iv) LTI 012’ x(t) Use superpositipn to graph the output of this system when the input is 1 596%. X”. M} 9-} Mali): "’24; [35%) t AL: “fit TM 53 saFufosfima tit-a =Pt~fi>~ 9;; as) :7 3603M; «a, (£4) Assignment #02- Solutions — p.3 ECSE—2410 Signals & Systems — Spring 2009 Due Tue 01/20/09 5(14). In this problem you will find the approximate system response to a pulse input, p(t), as a means of understanding the derivation of the basic convolution equation. Let the impulse response of this system be: x(t)=6(t) y(t)=h(t) 1 LT] Thus, the approximate input is p(t)z 5(t)+~};5(t—%)+%5(t—%)+fi§(t—~Z~). +%h(t-%)+%h(t-%) a S 2 s a succession of straight lines at every —};increment of t: L 4 t , else iuwwuh-~uukwn-w WM ”M Mu: Nam“? 42-h)”. row “MW“ ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern