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

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Unformatted text preview: Assignment #01 — Solutions —p.1 ECSE-ZMO Signals & Systems — Spring 200';T Due Fri 01/1 9/07 x(t') 1(40) Given the sigma} shown, 1 “““““““ sketch the signals (a) x10) = x(r W1) Simple delay. -> (b) x2 (I) = x(—r +1) Two operations. Let’s do shifi and then flip. Let 1421(1) = x(t +1) 9 Then define 1412(1): w1(—t) = x(—r +1) = x20) 9 (C) x3(t) = x(t +1). Simple advance. '9' ((1) x4 (I) = x(mr m 1) Two operations. This time, 1et’s flip first and then shift. x3 (1‘) Assignment #01 — Solutions —p.2 ECSE~2410 Signals & Systems - Spring 2007 Due Fri 01/19/07 , sketch WU) = dx(r) . 2(10). Given the signal, dt ae 4: t ‘ Z. CifiB-v—J XG‘H‘J‘JN?‘ 2 2-K = 4;: éé‘iréfl r “w {2)} 9 2 (4% used) t ,1 ‘E Z 1 ("If“); Jc FOTIS’Q’ Maya/MT: SwmgM-t—Qd’? 3%“ W2. wwwwwmfiww- ,w o a : a a: Mac Mama) i 2. it ’ 05"?“ 3 VEGHZM , “Jum- Médr): 2. 29; (b) Sketchar vs‘r,OStS . 5 61(1) Assignment #01 - Solutions —p.3 ECSE-2410 Signals & Systems — Spring 2007 Due Fri 01/19/07 3 (continued) Plot of 52(1) mt using MATLAB. Running Integral of Triangular Waveform fime tn[0:0,01:3}; u0=t>=0; ul=t>=l; u2=t>22; g1=uO—ul; meuE—uZ; g3=u2; alm(0.5*t.‘2).*gl; a2=(1—o.5*(—t+2).*2).*g2; a3=l*g3; amal+a2+a3; Qiot{t,a) grid axis([0,3,0,§.12) title('Running Integxal of Triangular Waveform'); Xlabel('time'); ylabel(‘a(t)'); Assignment #01 — Solutions —p.4 RISE-2410 Signais & Systems ~ Spring 2007 Due Fri 01/19/07 4(20). Sketch the even and odd parts of the sigma}, x6), where x(t) xw (I) = W ...
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