Features in Signals
Copyright 2026 James B. Wilson, Colorado State University
US Geological Survey Data May 26, 2002
What makes Earthquake signals distinct? (Describe some features)
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CC-SA Pittigrilli, WikiCommons, 2014
Earth quake
Other signals
Geologist observe earth quakes start small (P-wave) then get a bigger wave (S-Wave)
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Think of accumulating all the little changes to make an integral that would explain the start of a P-wave, then an S-wave
Adapting you measure
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Using choices of \(\kappa\) what might you learn?
Let \(\sigma(t)\) be the signal at time \(t\)
You choose a window and a function \(\kappa\) where this is a big number when the signal starts.
\[\nu(s):=\int_{start}^{stop} |\sigma(t) \kappa(s,t)| dt\]
Features in Signals
By James Wilson
Features in Signals
Social network posts are a great demonstration of creating inductive types. When it comes to recording the results for transmission one of the most versatile formats is JSON, another inductive type.
