Noise Operators

🎲 Stochastic Noise

sim_add_stochastic_noise_operator(ctx, field, opts)

Add coloured noise with selectable calculus law.

• sigma (required, ≥0): intensity.
• tau (≥0): autocorrelation decay (0 = white).
• alpha (0..2.5): spectral exponent (colour).
• seed (int ≥0): RNG seed (0 = auto).
• law (enum): ito or stratonovich.

Examples:

sim.sim_add_stochastic_noise_operator(ctx, field, {
    sigma = 0.15,
    law = "stratonovich"
})

sim.sim_add_stochastic_noise_operator(ctx, field, {
    sigma = 0.05,
    tau = 0.1,
    alpha = 0.7,
    seed = 42
})

🎵 Random Fourier

sim_add_stimulus_operator(ctx, field, opts)

Random Fourier feature field.

• type (required): "stimulus_random_fourier".
• amplitude (required): scale of features.
• k_min, k_max: wavenumber band.
• feature_count (int ≥1): number of features.
• omega (optional): temporal frequency.
• spectral_slope (optional): spectral decay.
• seed (int ≥1) for repeatability.
• scale_by_dt (bool)

Examples:

sim.sim_add_stimulus_operator(ctx, field, {
    type = "stimulus_random_fourier",
    amplitude = 0.5,
    k_min = 0.1,
    k_max = 2.0,
    feature_count = 32,
    seed = 99
})

sim.sim_add_stimulus_operator(ctx, field, {
    type = "stimulus_random_fourier",
    amplitude = 0.2,
    spectral_slope = -1.0
})

❄️ White Noise

sim_add_stimulus_operator(ctx, field, opts)

Gaussian white noise stimulus.

• type (required): "stimulus_white_noise".
• sigma (required): standard deviation.
• mean (default 0): mean offset.
• seed (int ≥1): RNG seed.
• scale_by_dt (bool)

Examples:

sim.sim_add_stimulus_operator(ctx, field, {
    type = "stimulus_white_noise",
    sigma = 0.05,
    seed = 12345
})

sim.sim_add_stimulus_operator(ctx, field, {
    type = "stimulus_white_noise",
    sigma = 0.2,
    mean = 0.1
})

🌫️ Fractional Brownian Motion

sim_add_stimulus_operator(ctx, field, opts)

Fractional Brownian motion noise.

• type (required): "stimulus_fbm".
• amplitude (required): overall scale.
• hurst (default 0.5): Hurst exponent.
• lacunarity (default 2.0): octave frequency multiplier.
• octaves (int 1..16): number of octaves.
• seed (int ≥1): RNG seed.
• scale_by_dt (bool)

Examples:

sim.sim_add_stimulus_operator(ctx, field, {
    type = "stimulus_fbm",
    amplitude = 0.5,
    hurst = 0.7,
    octaves = 6,
    lacunarity = 2.0,
    seed = 123
})

sim.sim_add_stimulus_operator(ctx, field, {
    type = "stimulus_fbm",
    amplitude = 0.25,
    hurst = 0.4
})