Coherence/phase-locking statistics in Julia
19 Stars
Updated Last
1 Year Ago
Started In
July 2013

Analysis of synchronous signals

Build Status

This package implements efficient multitaper and continuous wavelet transforms, along with the following transform statistics most of which operate on pairs of signals:

  • Power spectral density (PowerSpectrum)
  • Power spectral density variance (PowerSpectrumVariance)
  • Cross spectrum (CrossSpectrum)
  • Coherence (Coherence for the absolute value, Coherency for the complex value)
  • Phase locking value, a.k.a. the mean resultant vector length or R̄ (PLV)
  • Pairwise phase consistency, a.k.a. the unbiased estimator of R̄^2 (PPC)
  • Phase lag index (PLI)
  • Unbiased squared phase lang index (PLI2Unbiased)
  • Weighted phase lag index (WPLI)
  • Debiased squared weighted phase lag index (WPLI2Debiased)
  • Jammalamadaka circular correlation coefficient (JCircularCorrelation)
  • Jupp-Mardia squared circular correlation coefficient (JMCircularCorrelation)
  • Hurtado et al. modulation index (phase-amplitude coupling) (HurtadoModulationIndex)

Additionally, the following point-field measures are implemented:

  • Point-field coherence (pfcoherence)
  • Point-field PLV (pfplv)
  • Point-field PPC, variants 0, 1, and 2 (pfppc0, pfppc1, pfppc2)

And the following point-point measures:

  • Point-point cross correlation (pfxcorr)

All measures except for the point-field measures have corresponding unit tests. Documentation is forthcoming.