ELEC 320, Fall 1998
Prof. Rich Kozick
Date Assigned: Monday, November 30, 1998
Date Due: Friday, December 4, 1998
Quiz 5 is take-home and is due on
Wednesday, December 2 at 9:00 AM.
All students will present and/or demonstrate their
lab projects on Tuesday, December 8, from 8:00 AM to
More details about the presentations and lab reports are available
on the Web at
Please read Chapter 7 on the Laplace transform.
Sections 7.1 - 7.3 describe the forward and inverse Laplace transform
operations. Section 7.4 describes the application of the Laplace
transform to solving differential equations.
Since you have done this in MATH 212, we will mention it only briefly
in this course.
The concept of the transfer function in Section 7.5 is
If you have notes on the Laplace transform from previous
courses (MATH 212 and/or ELEC 220), you might want to find and
review those notes.
If we have time, we will show how the Laplace transform is
an important tool for designing higher-order analog filters.
Sections 8.4 and 8.5 discuss frequency response and Bode plots.
Section 8.6 discusses analog filters from the point of
view of the "s-plane".
Please submit solutions to the following inverse Laplace
transform problems on December 4.
Problem 7.9, parts a, b, c, d, f, and g.
For each problem, perform the partial fraction expansion analytically,
and then check your results using MATLAB.
Click here for notes on using MATLAB
for partial fraction expansion.
*** REVISION: USE MATLAB ONLY,
AND YOU DO NOT HAVE TO SUBMIT SOLUTIONS. ***
- Check out the "Exploring the s-Plane" demonstration at
Notice how the locations of the transfer function
of a linear, time-invariant system affect how the system responds
to a unit step input signal.
Your observations should agree with our discussion in class
about the relation between the s-plane and time signals.
Nothing needs to be handed in for this exercise.