ELEC 320, Fall 2006
Prof. Rich Kozick
Date Assigned: Friday, November 3, 2006
Date Due: Friday, November 10, 2006
Please continue to study Chapter 3 in the Lathi text on Fourier series,
For our classes on November 10 and the week of November 13,
please begin studying Chapter 4 in the Lathi text on the Fourier
transform, Sections 4.1 and 4.2.
- Exam 3 will be on Friday, November 17.
(This date was tentatively listed on the course syllabus,
but it is now confirmed.)
Please solve the following
problems in Chapter 3 of the Lathi text.
Problems 3.5-1 (parts d and e only), 3.5-2, 3.5-3.
Note: The answer in the back of the book for Problem 3.5-1(e) is
incorrect. The Dn formula must be multiplied by
(1/2) to make it correct.
Develop a Matlab program to plot the time signals
using the truncated exponential Fourier series
using your results from problems 3.5-1 (parts d and e).
The program fstrun_exp.m
that we used in class may be a useful template for your program.
- Suppose that the signal f(t) in Figure P3.4-3(e)
in the Lathi text is applied to a low-pass RC circuit with
RC = 0.5 and frequency response H(w) = 1 / (1 + j (w/2)).
- Find an expression for the exponential
Fourier series of the output signal, y(t).
Use your result from Problem 3.5-1(e) and the frequency response, H(w).
- Develop a Matlab program to plot y(t) using a
truncated exponential Fourier series.
You may want to refer to the Matlab program
that we used in class
to find the output of a low-pass RC circuit with frequency response
H(w) = 1 / (1 + j (w/wc)) to a square wave.
This program uses the compact trigonometric Fourier series.
Please solve the following problem in the Lathi text.
Problem 3.5-5 (review Parseval's Theorem in Section 3.5-2).