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#That's Pretty Much It

So the wavelet transform is simply a stack of one-sided bandpasses.

This means the magnitude-squared of the wavelets transform, `$|w(t,s)|^2$`, describes the variability in the vicinity of a certain time `$t$` and also a certain period of oscillation, set by the scale `$s$`.

It is convenient to convert the scale `$s$` into an equivalent frequency, the *scale frequency*, which ends up being proportional to `$1/s$`.

The wavelet can be thought of as a *defini