The Role of Group Representation Theory in Signal Processing

Asked Nov 06 '18 at 09:45

Active Nov 06 '18 at 09:45

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I am curious to know what are the clear impact of group representation theory in signal processing.

For instance, there is Fourier transform on finite groups. What are the applications of this form of Fourier transform?
Are there other specific applications of group representation theory in signal processing?

Please include some details in your answers. Thanks.

asked Nov 06 '18 at 09:45

Amin

2

I could try and elaborate on some of the points I brought up in this answer or possible this answer. I'm not sure where to draw the line. If I go unchecked we will quickly enter $\color{#d00}{\rm TL; DR; alert - red}$. – Jyrki Lahtonen Nov 06 '18 at 10:22
2

@JyrkiLahtonen I would love to see some elaborations on some of that, especially the Coxeter group stuff (did it scale?). – Tobias Kildetoft Nov 06 '18 at 10:30
@JyrkiLahtonen: I am still waiting for your guidance and elaboration. – Amin Nov 07 '18 at 06:50
@JyrkiLahtonen i'm down for a wall of text. – Alexander Gruber Nov 14 '18 at 05:29

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