Convolution Tutorial

Published: 11 October 2014
on channel: Ilya Mikhelson

10,497

This is a tutorial about convolution in signal processing, which is the method to find the response of a linear, time invariant (LTI) system to an arbitrary input. I first discuss the impulse response of an LTI system. Then, I derive the convolution definition using an example. Finally, I show an example of computing the convolution mathematically. Table of contents below.

00:00 - Introduction
00:24 - Impulse response
02:36 - Decomposing a signal into delta functions
04:49 - System response to shifted, scaled delta functions
07:00 - System response to general input signal
11:28 - Mathematical example of convolution
28:49 - Conclusion

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