t) z(\tau) d\tau=\frac{1}{2\pi} \int_{-\infty}^\infty  \Psi^*(s\omega) Z(\omega) e^{i\omega t} d\omega\]`

for the frequency-domain form of the wavelet transform.

Thus, if `$\Psi(\omega)$` is localized around a particular frequency, then `$\Psi(s\omega)$` is localized around a *different frequency*.

For this reason we can think of the wavelet transform as a set of bandpasses.  For each `$s$` value, the wavelet transform `$w(t,s)$` will be localized around a different frequency.


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