emd.simulate.ar_oscillator

emd.simulate.ar_oscillator(freq, sample_rate, seconds, r=0.95, noise_std=None, random_seed=None)

Create a simulated oscillation using an autoregressive filter.

A simple filter is defined by direct pole placement and applied to white noise to generate a random signal with a defined oscillatory peak frequency that exhibits random variability frequency, amplitude and waveform.

Parameters:

freqfloat

Peak resonant frequency of the simulated filter.

sample_ratefloat

Sampling frequency for the simulation

secondsfloat

Number of seconds of data to simulate

rfloat (0 < r < 1)

Pole magnitude of simulated autoregressive resonance.

noise_stdfloat

Scaling of optional noise to add to simulation. Scaling is relative to standard-deviation of the simulated data.

random_seedint

Optional random seed generation

Returns:

ndarray

A simulated time course.