ELEC 320, Fall 1998
Prof. Rich Kozick
Date Assigned: Monday, October 19, 1998
Date Due: Friday, October 23, 1998
** CHANGED TO MONDAY,
OCTOBER 26, 1998 **
- Please solve Problem 4.2 for the signal shown in
Use MATLAB for part (iii).
The example MATLAB program that
we showed in class for plotting a truncated Fourier series
is available at
- Please solve problem 4.6.
Note that the "overbar" on the function refers to complex conjugate.
The complex conjugate of exp(j w t) is exp(-j w t).
Suppose that the square wave x(t) shown on page 3 of the class
notes is applied to a low-pass RC circuit with RC = 1
and frequency response H(w) = 1 / (1 + j w).
Obtain an expression for the Fourier series of the output signal y(t).
(Hint: Use linearity and the definition of frequency response!)
Try running the MATLAB program
(available on the Web page for this assignment)
to see a plot of the output y(t).
Can you relate the fact that y(t) is nearly a triangle wave
to the results that you obtained in item 1 of this assignment?
(Do your best on this -- the connection may not be obvious!)