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20 changes: 15 additions & 5 deletions src/outcome_spaces/power_spectrum.jl
Original file line number Diff line number Diff line change
Expand Up @@ -2,10 +2,11 @@ export PowerSpectrum
import FFTW

"""
PowerSpectrum() <: OutcomeSpace
PowerSpectrum(δ = 0.0) <: OutcomeSpace

An [`OutcomeSpace`](@ref) based on the power spectrum of a timeseries (amplitude square of
its Fourier transform).
its Fourier transform). There is an optional threshold, δ, that can be used to set amplitude
square of the timeseries' Fourier transform below δ's value to zero.

If used with [`probabilities`](@ref), then the spectrum normalized to sum = 1
is returned as probabilities.
Expand All @@ -22,14 +23,23 @@ The outcome space `Ω` for `PowerSpectrum` is the set of frequencies in Fourier
should be multiplied with the sampling rate of the signal, which is assumed to be `1`.
Input `x` is needed for a well-defined [`outcome_space`](@ref).
"""
struct PowerSpectrum <: OutcomeSpace end
struct PowerSpectrum{T<:Real} <: OutcomeSpace
δ::T

function probabilities_and_outcomes(::PowerSpectrum, x)
function PowerSpectrum(δ::T = 0.0) where {T}
new{T}(δ)
end
end

function probabilities_and_outcomes(P::PowerSpectrum, x)
if !(x isa AbstractVector{<:Real})
throw(ArgumentError("`PowerSpectrum` only works for timeseries input!"))
end
δ = getfield.(Ref(P), (:δ))
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Suggested change
δ = getfield.(Ref(P), (:δ))

f = FFTW.rfft(x)
probs = Probabilities(abs2.(f))
amp_squared = abs2.(f)
amp_squared[0.0 .< amp_squared .< δ] .= 0.0
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Suggested change
amp_squared[0.0 .< amp_squared .< δ] .= 0.0
if P.δ > 0
amp_squared[amp_squared .< P.δ] .= 0.0
end

probs = Probabilities(amp_squared)
outs = FFTW.rfftfreq(length(x))
p = Probabilities(probs, outs)
return p, outcomes(p)
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