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Unformatted text preview: Assignment #2
ECSE—2410 Signals & Systems w Spring 2007 Tue 01/23/07 1(24) Use MATLAB to plot x(r)m(sin 275t+£sin 67n+£~sin Marina) 4Sr$4 3 5 Use points every 0.01 seconds for your plot. Label the axes. x(r) represents the first three terms in a
Fourier series and they should closely approximate a square wave. See the example below. Example: Plot the function x0) = g" sin 2 I for OS t S 3 in intervals of .01 seconds. First, MATLAB will be used to generate 301 points in time. Then 6" will be evaluated at each of these points in time to form a I by 301 array. The same will happen for sin2t. Next, 350‘) will be formed by
doing an entry by entry multiplication of the two arrays. This is shown below, >>t=(0:0.01:3); >>x:exp(~t).*sin(2*t); >>plot{t,x) >>title(‘Continuous—tiine Damped Sinusoid‘)
>>xlabel('Time (seconds)') >>ylabel('x(t)') 2(10). Given the signal x[n] as shown,
sketch the running sum, ﬁn} = ZxUt], versus :1, for all kz—oc values of n in the range, w 3 S n g 6. 3(16). Given the discretetime signal shown, sketch (a) y[rz] 2 exp—n +1],
(b) ﬁn} m .xEZn]. Label and scale all axes. 4(20). The signal x0) is transformed in the manner shown below into the signal y(t):kx(at+b).
Find the values k,a,b. x0) 5(10). Evaluate the integral Je”c5'(t+1)dt. 6(20). Sketch the derivative of the following signals. (Write .x(r) in terms of step functions, and then take
the derivative.) Include an analytic expression for the derivative along with your sketch. (a) W) 0)) J60) ix) ...
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 Spring '07
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