I’m experimenting with building animations to help early-year students visualise the relationships between signals and statistics about signals.
For example, I constructed the following animated
gif to show how the sampled data points from a sine wave, and a randomised sequence of the same sampled data points, results in the same CDF at multiples of the sine wave’s period.
Click on the image above for the full-sized, animated version. The cumulative distribution function (CDF) on the right is updated over time as samples are taken from the signals on the left.
[Added 15feb13] Click on the image above for another version, this time with an actual histogram rather than CDF.
It occurs to me that someone, somewhere, has probably built a library of such animations. My google-fu needs improving….