Getting started


from Github

To clone and install from github:

$ git clone
$ python install

This installs the latest development version of allantools. Cloning the repository gives you examples, tests, test-data, and iPython notebooks also.

from PyPi

To install the latest released version of allantools from PyPi:

$ pip install allantools

No examples, tests, or test-data is installed from the PyPi package.

Basic usage

For a general description see the API.

Minimal example, phase data

We can call allantools with only one parameter - an array of phase data. This is suitable for time-interval measurements at 1 Hz, for example from a time-interval-counter measuring the 1PPS output of two clocks.

>>> import allantools
>>> import pylab as plt
>>> x = allantools.noise.white(10000)        # Generate some phase data, in seconds.
>>> (taus, adevs, errors, ns) = allantools.oadev(x)

when only one input parameter is given, phase data in seconds is assummed when no rate parameter is given, rate=1.0 is the default when no taus parameter is given, taus=’octave’ is the default

Frequency data example

Note that allantools assumes nondimensional frequency data input. Normalization, by e.g. dividing all datapoints with the average frequency, is left to the user.

>>> import allantools
>>> import pylab as plt
>>> import numpy as np
>>> t = np.logspace(0, 3, 50)  # tau values from 1 to 1000
>>> y = allantools.noise.white(10000)  # Generate some frequency data
>>> r = 12.3  # sample rate in Hz of the input data
>>> (t2, ad, ade, adn) = allantools.oadev(y, rate=r, data_type="freq", taus=t)  # Compute the overlapping ADEV
>>> fig = plt.loglog(t2, ad) # Plot the results
>>> #

variations on taus parameter

The taus parameter can be given in a number of ways:

>>> (t, d, e, n) = allantools.adev(x) # omitted, defaults to taus='octave'
>>> (t, d, e, n) = allantools.adev(x, taus=[]) # empty list, defaults to taus='octave'
>>> (t, d, e, n) = allantools.adev(x, taus='all') # 1, 2, 3, 4, 5, 6, 7, ...
>>> (t, d, e, n) = allantools.adev(x, taus='octave') # 1, 2, 4, 8, 16, ...
>>> (t, d, e, n) = allantools.adev(x, taus='decade') # 1, 2, 4, 10, 20, 40, 100, ...
>>> my_taus=[1,5,15,28]
>>> (t, d, e, n) = allantools.adev(x, taus=my_taus) # python list
>>> (t, d, e, n) = allantools.adev(x, taus=np.array(my_taus)) # numpy array

Further examples are given in the examples directory of the package. For more exciting API musings you can read the API.