ELEC 320, Fall 2006
Prof. Rich Kozick

## Homework 6

Date Assigned: Monday, September 18, 2006
Date Due: Wednesday, September 20 and Friday, September 22, 2006

1. Reading: Please continue to study Chapter 1 in the Lathi text. We will begin studying Chapter 2 next week, so please begin reading Sections 2.1 through 2.4. The key concepts in these sections are impulse response and convolution.

2. Exam 1 will be on Monday, September 25. The exam will cover the topics that we used in Lab 1 (frequency response, Bode plots, etc.) and Chapter 1 in the Lathi text.

3. Reports for Lab 1 will be due at 10 AM on Friday, September 22. Your reports are to be done individually, and you should present your filter designs, analyze the frequency response (including the derivation of the cutoff frequency), and present your measured data on Bode plots. Your report should discuss how well you achieved each filter specification. That is, you should compare the measured gains and cutoff frequencies with the specified values.

4. Please solve the following problems in Chapter 1 of the Lathi text, and submit your solutions on Wednesday, September 20. (These problems were listed on Homework 5.)
Problems 1.3-1, 1.3-2, 1.3-3, 1.4-1, 1.4-4, 1.4-5, 1.4-7.

5. Please solve the following problems in Chapter 1 of the Lathi text, and submit your solutions on Friday, September 22.
Problems 1.7-1, 1.7-2, and 1.8-1.

6. For Friday, September 22, please do the following.

The URL http://www.jhu.edu/~signals/ contains several interesting Java applets that illustrate signals and systems concepts. Please visit this web page, and check out the System Properties link. Focus on the Continuous-time systems for now. The objective is to classify whether systems are linear, time-invariant, causal, etc. by applying various input signals and observing the system output signals.

Try as many of the systems as you would like. At minimum, classify systems A and F, and submit your solution on Friday, September 22. Do not worry about classifying the systems as stable, since we have not discussed stability. Make a note if you discover any interesting systems other than A and F, so we can look at them in class.

The experiments will work fine if you apply only one input signal at a time. Some useful signals to apply might be a unit step u(t), a delayed step u(t-1), a scaled step 2*u(t), and a sine wave sin(t). You can try others also, but these should get you started.

Thank you.