Convolution Interactive Visualization

By Erik Cheever & M. B. Ghaznavi-Ghoushchi.

This page can be used as part of a tutorial on the convolution of two signals. It lets the user visualize and calculate how the convolution of two functions is determined.

The basic convolution integral is according to:

$$ y(t)=\int_{-\infty}^{+\infty}{h(t-\lambda)\cdot f(\lambda)\cdot d\lambda}=\int_{0^-}^t{h(t-\lambda)\cdot f(\lambda)\cdot d\lambda} $$

This is often referred to as graphical convolution. It comes with some features we demonstrated in Interactive Help and Guide tab of the tool. Please first look at the help and guide tab.

Run-Online

Go to the following link and use the online version hosted on github.io. Online: Convolution Interactive Visualization

Run-Offline

Convolution Interactive Visualization tool suite is a facilitated to be all-included and needs no external library or online CDN. Therefore, it is portable and could be run without need to net access in workflow according the following steps and use the tool offline.

1. Download or clone the code

caduser@ubuntu:~$ git clone https://github.com/yarpose/YARPOSE.Convolution.Interactive.Visualization
caduser@ubuntu:~$ cd YARPOSE.Convolution.Interactive.Visualization
caduser@ubuntu:~$ python -m http.server

2. Start a local just-in-place web server via python 3.x built-in http.server module

caduser@ubuntu:~$ python -m http.server

This command opens a web server on port :8000 by default. Then open a browser and point to: http://localhost:8000/ in address bar and use the tool normally.

Note: If you would like to add your interested functions to this tool, please feel free to write me. We are also working on a new version with user defined and 3rd party simulation outputs be used with this tool.

Credits:

The original version (c)2005-2022 of this tool was developed by Erik Cheever. This (c)2024 is a recap with ease of usage and interactive help. It is developed by M. B. Ghaznavi-Ghoushchi with written permission from Prof. Cheever.

Related Projects

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YARPOSE - A Dejavu project in EDA
M. B. Ghaznavi-Ghoushchi   ghoushchi