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
t = numpy.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(freqyency=y, rate=r, taus=t)    # Compute the overlapping ADEV
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(my_phase) # omitted, defaults to taus='octave'
(t, d, e, n) = allantools.adev(my_phase, taus=[]) # empty list, defaults to taus='octave'
(t, d, e, n) = allantools.adev(my_phase, taus='all') # 1, 2, 3, 4, 5, 6, 7, ...
(t, d, e, n) = allantools.adev(my_phase, taus='octave') # 1, 2, 4, 8, 16, ...
(t, d, e, n) = allantools.adev(my_phase, taus='decade') # 1, 2, 4, 10, 20, 40, 100, ...
(t, d, e, n) = allantools.adev(my_phase, taus=my_taus) # python list
(t, d, e, n) = allantools.adev(my_phase, taus=numpy.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.