sim_phase_shifted: Simulate oscillating trajectory

In majpark21/TSexploreR: Explorative Tools for Time Series

Description

Set of functions to simulate different types of oscillating trajectories. To generate data with different noise levels, use multi_sim.

Usage

sim_phase_shifted(n, noise, freq = 0.2, end = 50)

sim_phase_shifted_damped(n, noise, damp_params, freq = 0.2, end = 50)

sim_phase_shifted_with_fixed_trend(n, noise, slope, freq = 0.2,
  end = 50)

sim_noisy_amplitude(n, noise, freq = 0.2, end = 50)

sim_noisy_amplitude_damped(n, noise, damp_params, freq = 0.2, end = 50)

sim_expodecay_lagged_stim(n, noise, interval.stim = 5, lambda = 0.2,
  freq = 0.2, end = 50)

Arguments

n	numeric, number of simulated trajectories
noise	numeric, noise level, see ?multi_sims for details
freq	numeric, spacing between 2 time points.
end	numeric, end time of simulations.
damp_params	numeric vector of 2, for dampening parameters of the form c(initial amplitude, decay rate). Used in sim_phase_shifted_damped and sim_noisy_amplitude_damped. See details.
slope	numeric, slope of linear trend, i.e. change of mean value per unit of time.
interval.stim	Time interval between stimulations. Used in sim_expodecay_lagged_stim only.
lambda	Desintegration rate. Used in sim_expodecay_lagged_stim only. See details.

Details

Damping sinusoids are generated with the equation: y(t)=A . exp(-L.t) . sin(t). Where A represents the initial envelope amplitude and lambda the decay constant. damp_params is of the form: c(A,L)

sim_expodecay_lagged_stim simulates trajectories that arise from a "stimulation" (i.e. taking the trajectory to a fixed high-level). Relaxation after stimulation is an exponential decay following equation: y(t) = A0 . exp(-t/T). Where A0 represents the initial level of the trajectory and T the desintegration rate.

Value

a data.table containing the trajectories in long format in 3 columns. "variable" indicates the ID of the trajectory.

Functions

• sim_phase_shifted: Phase-Shifted sinusoids

• sim_phase_shifted_damped: Damped Phase-Shifted sinusoids (chirp).

• sim_phase_shifted_with_fixed_trend: Phase-Shifted sinusoids with linear trend.

• sim_noisy_amplitude: Sinusoids with Gaussian white noise in amplitude.

• sim_noisy_amplitude_damped: Damped sinusoids with Gaussian white noise in amplitude.

• sim_expodecay_lagged_stim: Lagged Exponential Decays.

See Also

multi_sim

majpark21/TSexploreR documentation built on Oct. 16, 2019, 2:46 p.m.