2 Weeks
A non-periodic signal x(t)
is described by the following expressions:
Plot this signal
for t between 0 and 3 seconds, using enough data points to get a smooth
curve.
Determine the
Fourier Transform for this signal. Using the linspace command, create a
frequency vector, and plot the double sided magnitude and phase spectra for the
signal. The range of frequencies should be -50 rad/sec to +50 rad/sec.
The following code
can be used to create time and signal vectors for this part of the experiment:
t = linspace(0,3,1201);
x = [ones(1,400) exp(-2*(t(401:1201)-1))];
Plot x vs. t using these commands to be sure that they correctly plot the original x(t). Using the lsim function, compute the output signals from 3 different systems with x(t) as the input. The syntax for this function with the 3 systems is:
System 1: y1 = lsim(0.2, [1 0.2], x, t);
System 2: y2 = lsim(2, [1 2], x, t);
System 3: y3 = lsim(20, [1 20], x, t);
Plot the 3 output
signals on the same graph as the input signal x(t). Compare how
closely the each of the output signals matches the input signal.
Document your work in a typed report. Discuss the
significance of the particular magnitude and phase plots that were obtained.
Discuss your results from passing the input signal through the 3 different
systems and how those results are related to the magnitude spectrum for the
input signal.
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Latest revision on
Friday, May 19, 2006 10:55 AM