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Commit 6400d03

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dsweber2
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paul=Cauchy, remove last printlns
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src/ContinuousWavelets.jl

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@@ -42,7 +42,7 @@ are:
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``\\psi\\hat(\\omega) \\propto \\textrm{e}^{-\\frac{\\mu^2}{2}}\\big(\\textrm{e}^{-(\\mu - \\omega)^2} -\\textrm{e}^{\\frac{\\omega^2-\\mu^2}{2}}\\big)``
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- `Paul{N}`: A complex analytic wavelet. `pauln` for n in `1:20` e.g. `paul5`
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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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- `Dog{N}`: Derivative of a Gaussian, where N is the number of

src/apply.jl

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@@ -298,7 +298,6 @@ function icwt(res::AbstractArray, cWav::CWT, inverseStyle::PenroseDelta)
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= computeWavelets(size(res,1), cWav)[1]
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β = computeDualWeights(Ŵ, cWav)
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testDualCoverage(β, Ŵ)
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println(size(res),size(β))
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compXRecon = sum(res .* β, dims=2)
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imagXRecon = irfft(im*rfft(imag.(compXRecon),1), size(compXRecon,1)) # turns out the dual frame for the imaginary part is rather gross in the time domain
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return imagXRecon + real.(compXRecon)

src/utils.jl

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@@ -276,7 +276,6 @@ compute the weight given to each wavelet so that in the Fourier domain, the sum
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"""
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function computeDualWeights(Ŵ, wav)
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@views lastReasonableFreq = computeLastFreq(Ŵ[:,end], wav)
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println(size(Ŵ))
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Wdag = pinv(Ŵ[1:lastReasonableFreq,:])
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β = conj.(Wdag * ones(size(Wdag,2)))'
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return β

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