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Unformatted text preview: Assignment #01 — Solutions —p.1 ECSEZMO 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
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(b) Sketchar vs‘r,OStS . 5 61(1) Assignment #01  Solutions —p.3
ECSE2410 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 RISE2410 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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