Fourier Series Concept Visualization Tools

Chris Long
Chris Long

For many students the concepts associated with Fourier series can be difficult to comprehend. Two of those concepts are the principle of superposition and the relationship between the time and frequency domains. At Purdue South Bend, Professor Gene Harding and undergraduate student Chris Long worked together using MATLAB to create a pair of visualization tools for illustrating these concepts. Chris did a great job developing these tools, which were used for the first time in ECET207 during the fall 2007 semester. They were subsequently adopted by the main campus and a local community college.

Their paper about the tools, "A Graphical Teaching Aid to Illustrate Fourier Harmonics," was published in the fall 2007 edition of the Technology Interface. (From the fall 2007 edition page, scroll down to the paper via the contents on the left.) This article provides more detail about the two tools, why they were started, and how they fit into Purdue's ECET program.

The links for the animations and associated m-files are below. To view them just click on the links. If you want to save a file, right-click on the link, select Save Target As..., and enter a location and filename where you want it to be stored on your computer.

Feedback or questions about the project are welcome. Please direct them to Professor Harding.

Superposition Animation:

Superposition Animation Figure

 

 

 

 

 

 

 

 

Time vs. Frequency Domain Animation:

TimeFrequency