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Merge pull request #68 from JaredW40/patch-10
Update ContinuousWavelets.jl
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src/ContinuousWavelets.jl

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@@ -62,6 +62,15 @@ are:
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- `Paul{N}`: A complex analytic wavelet, also known as Cauchy wavelets. `pauln` for n in `1:20` e.g. `paul5`
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``\\psi\\hat(\\omega) \\propto \\chi_{\\omega \\geq 0} \\omega^N\\textrm{e}^{-\\omega}``
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- `Morse`: A family of exactly analytic wavelets.
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`Morse(ga::T,be::T,cf::T) where T <: Float64`. `ga` characterizes the
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symmetry of the Morse wavelet, `be` can be viewed as the decay or
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compactness parameter, and `cf` is a parameter that determines the
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frequency at which the magnitude of the wavelet is maximized.
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``\\psi\\hat(\\omega) \\propto \\chi_{\\omega \\geq 0}(\\omega) \\omega^\\textrm{be}\\textrm{e}^{-(2\\pi\\omega)^{\\textrm{ga}}}\\textrm{, } be, ga \\geq 0``
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- `Dog{N}`: Derivative of a Gaussian, where N is the number of
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derivatives. `dogn` for `n` in `0:6`. The Sombrero/mexican hat/Marr wavelet
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is `n=2`.

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