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add docs for signal processing
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arturgower committed Aug 15, 2024
1 parent 2d48ba6 commit 26fccd4
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13 changes: 13 additions & 0 deletions src/time_simulation.jl
Original file line number Diff line number Diff line change
Expand Up @@ -105,6 +105,12 @@ function firstnonzero(arr::AbstractArray{T}) where T <: AbstractFloat
end

"""
frequency_to_time(field_mat::AbstractArray, ω_vec::AbstractVector,
t_vec::AbstractArray = ω_to_t(ω_vec);
method = :DFT,
impulse::ContinuousImpulse = TimeDiracImpulse(zero(T)),
discrete_impulse::DiscreteImpulse = continuous_to_discrete_impulse(impulse, t_vec, ω_vec))
See also: [`DiscreteImpulse`](@ref), [`ContinuousImpulse`](@ref)
Calculates the time response from the frequency response by approximating an
Expand Down Expand Up @@ -143,6 +149,13 @@ function frequency_to_time(field_mat::AbstractArray{Complex{T}}, ω_vec::Abstrac
end

"""
function time_to_frequency(field_mat::AbstractArray, t_vec::AbstractVector,
ω_vec::AbstractArray = t_to_ω(t_vec);
method = :DFT,
impulse::ContinuousImpulse = TimeDiracImpulse(zero(T)),
discrete_impulse::DiscreteImpulse = continuous_to_discrete_impulse(impulse, t_vec, ω_vec)
)
The inverse of the function frequency_to_time (only an exact inverse when using
:DFT integration). We use the Fourier transform convention:
F(ω) = ∫ f(t)*exp(im*ω*t) dt
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