ELEC 320, Fall 2004
Prof. Rich Kozick

## Homework 12

Date Assigned: Friday, October 22, 2004
Date Due: Friday, October 29, 2004 ** Changed to Monday, November 1 **

1. Reading: Please continue to study Chapter 3 in the Lathi text on Fourier series, Sections 3.5-3.9.

2. Lab Design Project: Please read and browse Lab 6 on the web. For November 1 and 2, please list some potential project ideas, and identify your lab partners for the project.

3. 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.

4. 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.

5. 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 sqrfilt.m 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.

Thank you, and have a great Fall break!