Calculate phase-amplitude coupling in Python (and Matlab).
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Build Status Project Status: Inactive – The project has reached a stable, usable state but is no longer being actively developed; support/maintenance will be provided as time allows.

A module to calculate phase-amplitude coupling in Python.

Note: pactools

Pacpy is no longer actively supported, but it is in a stable state. For an actively maintained package, we recommend pactools. Note that these two packages may give different results when using the default filter parameters.


A Binder demo, complete with simulated data, can be found here.


pip install pacpy

Tested on Linux (Ubuntu 4.10), OS X (10.10.4), and Windows 9.


  • numpy
  • scipy
  • pytest (optional)

That is , we assume Anaconda is installed.


The wrapper for MATLAB can be found at,


An example of calculating PAC from two simulated voltage signals using the phase-locking value (PLV) method:

import numpy as np
from scipy.signal import hilbert
from pacpy.pac import plv

t = np.arange(0, 10, .001) # Define time array
lo = np.sin(t * 2 * np.pi * 6) # Create low frequency carrier
hi = np.sin(t * 2 * np.pi * 100) # Create modulated oscillation
hi[np.angle(hilbert(lo)) > -np.pi*.5] = 0 # Clip to 1/4 of cycle

plv(lo, hi, (4,8), (80,150)) # Calculate PAC