ELEC 320, Fall 2004
Prof. Rich Kozick

## Homework 17

Date Assigned: Monday, November 29, 2004
Date Due: Monday, December 6, 2004
(Not really - submission of your solutions is optional, but you are responsible for this material for the final exam.)

1. Reading: Please continue to study Chapter 6 on the Laplace transform. Sections 6.1 and 6.2 describe the forward and inverse Laplace transform operations. You should study these sections carefully, focusing on the unilateral Laplace transform. Please note that Sections B.3-2 and B.5 in the Background chapter are useful.

Sections 6.3 and 6.4 describe the application of the Laplace transform to solving differential equations and circuits (ZSR and ZIR!). You should review these sections, but since you have done this in MATH 212 and ELEC 225-226, we will not discuss them in detail in this course. The concept of the transfer function of an LTIC system, H(s), is very important. Please study Section 6.5 on block diagrams, and browse Section 6.6 to understand how higher-order systems are designed. You can skip Sections 6.7, 6.8, and 6.9.

If you have notes on the Laplace transform from previous courses (MATH 212 and ELEC 225-226), you might want to find and review those notes.

We will end the course with the same topic that began the course, analog filters. Sections 7.1 and 7.2 discuss frequency response and Bode plots. We will not consider all of the details in these sections, but you should read them. Skip Section 7.3, and study Section 7.4 on filter design by placing poles and zeros in the s-plane. Study Section 7.5 on the Butterworth filter, and browse the remaining sections in Chapter 7. This will provide an introduction to the design of higher-order analog filters (higher than first-order).

2. Lab Design Project: We will continue to work on your projects on November 29-30, and then you will present your results on Monday, December 6 from 2:00 to 5:00 PM. Please see the labs link on the course web page for more details.

3. Please check out the following demonstrations at the Johns Hopkins demo page,
http://www.jhu.edu/~signals/
• For the sampling theorem, SampleMania
• For Laplace transform applied to LTI systems, Exploring the s-Plane
Nothing needs to be submitted for this item. Just have fun and learn.

4. Please solve the following problems in the Lathi text. We will solve some of these as examples during class on December 1, 3, and 6.
Problems 6.2-1 and 6.2-3 (for practice with the forward and inverse L.T.)
Problems 6.3-1(b) and 6.3-5 (for solving differential equations)
Problems 6.4-3 and 6.4-9 (for L.T. applied to circuit analysis)
Problems 6.5-2 and 6.6-1 (for block diagrams and system realization)
Problem 7.1-1 (for frequency response from H(s))
Problem 7.4-1 (for frequency response from pole-zero locations)
Problem 7.5-1 (for Butterworth filter design, but you can use the tables)

Thank you.