This video starts my lecture series on the mathematical concept of convolution. The lecture is part of my course “Inverse Problems 1: Convolution and Deconvolution” that I currently teach at University of Helsinki, Finland. I am a professor of Industrial Mathematics at UH.
I go through the basics of how a linear filter modifies a signal step by step. I illustrate the concepts using a simple measurement of ice water and boiling water using a regular kitchen thermometer.
This is the measured data for exercises: T = [1 1 1 1 1 1 1 0 0 18 18 35 35 50 50 61 61 70 70 76 76 82 82 86 86 89 89 92 92 94 94 95 95 96 96 97 97 98 98 99 99 99 99 100 100 100 100 100 100 100 ];
