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9 changes: 9 additions & 0 deletions src/ContinuousWavelets.jl
Original file line number Diff line number Diff line change
Expand Up @@ -62,6 +62,15 @@ are:
- `Paul{N}`: A complex analytic wavelet, also known as Cauchy wavelets. `pauln` for n in `1:20` e.g. `paul5`

``\\psi\\hat(\\omega) \\propto \\chi_{\\omega \\geq 0} \\omega^N\\textrm{e}^{-\\omega}``

- `Morse`: A family of exactly analytic wavelets.
`Morse(ga::T,be::T,cf::T) where T <: Float64`. `ga` characterizes the
symmetry of the Morse wavelet, `be` can be viewed as the decay or
compactness parameter, and `cf` is a parameter that determines the
frequency at which the magnitude of the wavelet is maximized.

``\\psi\\hat(\\omega) \\propto \\chi_{\\omega \\geq 0}(\\omega) \\omega^\\textrm{be}\\textrm{e}^{-(2\\pi\\omega)^{\\textrm{ga}}}\\textrm{, } be, ga \\geq 0``

- `Dog{N}`: Derivative of a Gaussian, where N is the number of
derivatives. `dogn` for `n` in `0:6`. The Sombrero/mexican hat/Marr wavelet
is `n=2`.
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