Refactor of the ISM method for rectangular room.
Squashed commit of the following: commitf00ca2cbc9Author: zymon <s@zymon.org> Date: Mon Jun 10 16:29:11 2024 +0200 insert_impuse commit9c922f79bfAuthor: zymon <s@zymon.org> Date: Tue Jun 4 16:26:04 2024 +0200 aktu commit88ba6ea0b0Author: zymon <s@zymon.org> Date: Sun Jun 2 23:25:11 2024 +0200 generator of image sources
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1 changed files with 98 additions and 90 deletions
188
src/ISM.jl
188
src/ISM.jl
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@ -51,8 +51,100 @@ function ISM(
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end
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end
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"""
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function image_source_generator(
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tx::TxRx,
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rx::TxRx,
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room::RectangularRoom,
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config::ISMConfig;
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)
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T = Float64
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# Number of samples in impulse response
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Nh = config.N
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# Samples to distance coefficient [m]
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Γ = room.c / config.fs
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# Transform size of the room from meters to samples
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Lₛ = room.L ./ Γ
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# Compute maximal wall reflection
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N = ceil.(Int, Nh ./ (2 .* Lₛ))
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o_min, o_max = config.order
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return (begin
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r = (n, l, m) # Wall reflection indicator
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Rr = 2 .* r .* room.L # Wall lattice
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p = @SVector [q, j, k] # Permutation tuple
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# Order of reflection generated by image source
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o = sum(abs.(2 .* r .- p))
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if o_min <= o && (o <= o_max || o_max == -1)
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# Compute Rp part
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Rp = @. (1 - 2p) * tx.position - rx.position
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# image source position for given permutation
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isp = Rp .+ Rr
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if config.isd > 0.0 && o > 0
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# generate random displacement for the image source
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isp .+= randn(config.lrng) * config.isd
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end
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# Distance between receiver and image source
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d = norm(isp)
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# Propagation time between receiver and image source
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τ = d / room.c
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if τ <= Nh / config.fs # Check if it still in transfer function rangΩ
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# Compute value of reflection coefficients
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b = @. room.β ^ abs((n - q, n, l - j, l, m - k, m))
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# Direction of Arrival of ray incoming from image source to receiver
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rx_DoA = isp ./ d
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# Compute receiver directivity gain
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rx_DG = directivity_pattern(rx_DoA, rx.B, rx.directivity)
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# Direction of Arrival of ray coming out from transmitter to wall
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perm = (abs(n - q) + abs(n), abs(l - j) + abs(l), abs(m - k) + abs(m))
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tx_DoA = @. -rx_DoA * (-1, -1, -1).^perm
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# Compute transmitter directivity gain
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tx_DG = directivity_pattern(tx_DoA, tx.B, tx.directivity)
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# Compute attenuation coefficient
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A = tx_DG * rx_DG * prod(b) / (4π * d)
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(A, τ, isp, o)
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end
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end
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end for n = -N[1]:N[1], l = -N[2]:N[2], m = -N[3]:N[3], q ∈ 0:1, j ∈ 0:1, k ∈ 0:1)
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end
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function insert_impuse!(h, A, τ, impulse_width, fs, Δt, twid, ω, N)
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# Compute range of samples in transfer function
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a = impulse_width / 2
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i_s = max(ceil(Int, (τ - a) * fs) + 1, 1) # start
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i_e = min(floor(Int, (τ + a) * fs) + 1, N) # end
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# Insert yet another impulse into transfer function
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for i ∈ i_s:i_e
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t = (i - 1) * Δt - τ # time signature
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w = fma(cos_fast(ω*t), 0.5, 0.5) # Hann window
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x = twid * t
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sinc = ifelse(iszero(x), 1.0, sin_fast(x)/x)
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@inbounds h[i] += w * A * sinc
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end
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end
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"""
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References:
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[1] J. B. Allen and D. A. Berkley, “Image method for efficiently simulating small‐room acoustics,” The Journal of the Acoustical Society of America, vol. 65, no. 4, Art. no. 4, Apr. 1979, doi: 10.1121/1.382599.
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[2] P. M. Peterson, “Simulating the response of multiple microphones to a single acoustic source in a reverberant room,” The Journal of the Acoustical Society of America, vol. 80, no. 5, Art. no. 5, Nov. 1986, doi: 10.1121/1.394357.
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@ -67,99 +159,15 @@ function ISM!(
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config::ISMConfig;
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) where {T<:AbstractFloat}
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# Number of samples in impulse response
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Nh = length(h)
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# Samples to distance coefficient [m]
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Γ = room.c / config.fs
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# Transform size of the room from meters to samples
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Lₛ = room.L ./ Γ
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# Impulse parameters
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Δt = 1 / config.fs
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ω = 2π / config.Wd
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twid = π * config.fs
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# Compute maximal wall reflection
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N = ceil.(Int, Nh ./ (2 .* Lₛ))
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o_min, o_max = config.order
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# Allocate memory
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rd = @MVector zeros(T, 3) # Container for random displacement
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isp = @MVector zeros(T, 3) # Container for relative image source position
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b = @MVector zeros(T, 6) # Container for effective reflection coefficient
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rx_DoA = @MVector zeros(T, 3) # Container for direction of incoming ray to receiver
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tx_DoA = @MVector zeros(T, 3) # Container for direction of ray coming out from transmitter
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Rp = @MVector zeros(T, 3) #
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# Main loop
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for n = -N[1]:N[1], l = -N[2]:N[2], m = -N[3]:N[3]
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r = (n, l, m) # Wall reflection indicator
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Rr = 2 .* r .* room.L # Wall lattice
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for q ∈ 0:1, j ∈ 0:1, k ∈ 0:1
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p = @SVector [q, j, k] # Permutation tuple
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# Order of reflection generated by image source
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o = sum(abs.(2 .* r .- p))
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if o_min <= o && (o <= o_max || o_max == -1)
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# Compute Rp part
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for i = 1:3
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Rp[i] = (1 .- 2 * p[i]) * tx.position[i] - rx.position[i]
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end
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# image source position for given permutation
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isp .= Rp .+ Rr
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if config.isd > 0.0 && o > 0
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# generate random displacement for the image source
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randn!(config.lrng, rd)
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isp .+= rd .* config.isd
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end
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# Distance between receiver and image source
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d = norm(isp)
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# Propagation time between receiver and image source
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τ = d / room.c
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if τ <= Nh / config.fs # Check if it still in transfer function rangΩ
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# Compute value of reflection coefficients
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b .= room.β .^ abs.((n - q, n, l - j, l, m - k, m))
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# Direction of Arrival of ray incoming from image source to receiver
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rx_DoA .= isp ./ d
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# Compute receiver directivity gain
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rx_DG = directivity_pattern(SVector{3}(rx_DoA), rx.B, rx.directivity)
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# Direction of Arrival of ray coming out from transmitter to wall
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perm = (abs(n - q) + abs(n), abs(l - j) + abs(l), abs(m - k) + abs(m))
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tx_DoA .= -rx_DoA .* (-1, -1, -1).^perm
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# Compute transmitter directivity gain
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tx_DG = directivity_pattern(SVector{3}(tx_DoA), tx.B, tx.directivity)
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# Compute attenuation coefficient
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A = tx_DG * rx_DG * prod(b) / (4π * d)
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# Compute range of samples in transfer function
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i_s = max(ceil(Int, (τ - config.Wd / 2) * config.fs) + 1, 1) # start
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i_e = min(floor(Int, (τ + config.Wd / 2) * config.fs) + 1, Nh) # end
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# Insert yet another impulse into transfer function
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for i ∈ i_s:i_e
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t = (i - 1) * Δt - τ # time signature
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w = fma(cos_fast(ω*t), 0.5, 0.5) # Hann window
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x = twid * t
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sinc = ifelse(iszero(x), 1.0, sin_fast(x)/x)
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@inbounds h[i] += w * A * sinc
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end
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end
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end
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end
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for image_source ∈ image_source_generator(tx, rx, room, config)
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image_source |> isnothing && continue
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A, τ, _, _ = image_source
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insert_impuse!(h, A, τ, config.Wd, config.fs, Δt, twid, ω, config.N)
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end
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end
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