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Multipurpose Library for Synthetic Time Series

Please cite as:
J. R. Maat, A. Malali, and P. Protopapas, “TimeSynth: A Multipurpose Library for Synthetic Time Series in Python,” 2017. [Online]. Available:

TimeSynth is an open source library for generating synthetic time series for model testing. The library can generate regular and irregular time series. The architecture allows the user to match different signals with different architectures allowing a vast array of signals to be generated. The available signals and noise types are listed below.

N.B. We only support Python 3.6+ at this time.

Signal Types

  • Harmonic functions(sin, cos or custom functions)
  • Gaussian processes with different kernels
    • Constant
    • Squared exponential
    • Exponential
    • Rational quadratic
    • Linear
    • Matern
    • Periodic
  • Pseudoperiodic signals
  • Autoregressive(p) process
  • Continuous autoregressive process (CAR)
  • Nonlinear Autoregressive Moving Average model (NARMA)

Noise Types

  • White noise
  • Red noise


To install the package via github,

git clone
cd TimeSynth
python install

Using TimeSynth

$ python

The code snippet demonstrates creating a irregular sinusoidal signal with white noise.

>>> import timesynth as ts
>>> # Initializing TimeSampler
>>> time_sampler = ts.TimeSampler(stop_time=20)
>>> # Sampling irregular time samples
>>> irregular_time_samples = time_sampler.sample_irregular_time(num_points=500, keep_percentage=50)
>>> # Initializing Sinusoidal signal
>>> sinusoid = ts.signals.Sinusoidal(frequency=0.25)
>>> # Initializing Gaussian noise
>>> white_noise = ts.noise.GaussianNoise(std=0.3)
>>> # Initializing TimeSeries class with the signal and noise objects
>>> timeseries = ts.TimeSeries(sinusoid, noise_generator=white_noise)
>>> # Sampling using the irregular time samples
>>> samples, signals, errors = timeseries.sample(irregular_time_samples)

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