Convolutions in Electrical Engineering

by Robert Farkas, Jr.

Submitted : Fall 2008

For this Calculus project, I chose a convolution problem in the electrical engineering field. I researched the idea of convolution through the internet and various books. Convolution is the mathematical explanation which tells us how an input signal is passed through a system containing an impulse response, and then it creates an output. This idea of convolution can be applied to anything with electronics, including an internet phone. When a person speaks into the phone, they are creating an input. The input passes through a system and is then convolved with the impulse response. This creates an output that is sent to the person on the other end who can hear the speaker in a clear, realistic timing fashion. The objective of this project is to show that there is a time delay in some instances; however, these delays can be bypassed with the use of convolution mathematics. The project mainly shows that no matter how you set up the equation, the output will be consistent with the switching of the input and the impulse response.

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