Lab 3 - Introduction to Complex Exponentials

Throughout your studies of electrical and computer engineering you will find widespread use for complex numbers and complex exponentials. Perhaps one of the most important uses for complex exponentials is the phasor addition property for adding cosine waves. In this lab you will explore in detail the intimate relationship that exists between complex exponentials and sinusoidal signals. If you are not familiar with Euler's formula, look it up now! (Appendix A in the text DSP First - A Multimedia Approach is an excellent place to start.)

Background Reading
Before beginning this laboratory, you should read Appendix A in the text DSP First - A Multimedia Approach. You will likely find most parts of the material to be review - but other parts will be new. So read carefully.

Laboratory Assignment
Documentation for this lab assignment is found in Section C.2 of the text DSP First - A Multimedia Approach. Begin by working through the lab warm-up found in Section C.2.2. Your instructor should initialize your Instructor Verification sheet when you have demonstrated an understanding of each part. You will need to include the initialized sheet with your lab report. You will likely find it difficult to create the m-file
sumcos.m as required in Section C.2.2.2. This template (sumcos_template.m) should be very helpful. Be sure to save the template as sumcos.m. Good luck.

Laboratory Report
Results from each part of the laboratory exercises in Section C.2.3 should be included in your lab report. Be sure that you use the results from the exercises to indicate an understanding of the topics treated in this lab. Your completed report, including the initialized Instructor Verification Sheet, is due at the beginning of your next lab meeting.

Be sure to start early on Lab 4. You will need to do some work before you come to the lab!

Copyright © 2000
Department of Electrical and Computer Engineering
Michigan Technological University
Last updated 9/14/00
Timothy J. Schulz