nalytic) bandpass in the vicinity of frequency  `$\omega_o$`.

Thus the real part of the wavelet transform at a particular frequency
`\[\hat x(t) = \Re\left\{w(t,s_o)\right\}\]`
is a bandpassed version of the signal at frequency  `$\omega_o$`.  Increasing `$\beta$` makes this bandpass more narrow in the frequency domain.

To remove an isolated peak, (i) take the wavelet transform for only *one* choice of frequency, then (ii) take the spectrum of the residual `$x(t)-\hat x(t)$`.  Adjust the choice of `$\beta