The Living Thing / Notebooks :

Signal processing

That which you study for 4 years in order to design trippy music visualisers

Signal processing is a discipline dedicated to the engineering end of stochastic process inference and prediction, especially linear time series

There are various translation difficulties for statisticians; “Testing”=“Detection”, “Linear Filter”=“ARIMA model”, estimation of parameters is system identification, estimation of hidden states is filtering and so on.

This is a very general note to mention that the field exists. Most useful information is under sub-fields, e.g. machine listening, for some signal processing tricks for audio, or feedback systems, for some models particularly appropriate to systems that accept their own output as input etc.

See also orthogonal decompositions. There are close connections to optimal control.

Anyway, I don’t need to explain that here; there are so many software engineers involved with it. the internet is full of interactive diagrammy textbooks to fill that niche.

But here are some notes on some nuggets of interest that I wasn’t sure where else to file.

Signal processing on graphs

Nothing to say here yet but I feel I should raid the literature of the EPFL Signal processing lab 2 who make a specialty of it.

Stochastic decomposition

Model for decomposing harmonic sound into pure tones plus other stuff (aside: why not other periodic functions?) This is just some kind of parametric state or system inference, right?

Sine + Noise + Transients

Sampling

Signal sampling is the art of turning continuous signals into discrete ones and back again.

Resources

See also the slightly more specialised and overlapping list of filter design resources

Refs