Hilbert Transform for Brain Wave Analysis

Author: Kimberly Stachenfeld
Email: kim.stachenfeld@gmail.com

##Purpose Analyze EEG or LFP data via Hilbert Transform

##Data Preprocessing

##Contents

• run_analysis Example on how to call hilbert_stats
• ex_KI2.mat Example dataset
• hilbert_stats Returns ITC, ERSP, and phase angle correlation and relevant bootstrap statistics and plots from hilbert transform data bandpassed at frequency intervals.
• bootstrap_analysis Calculates bootstrap and p-value by resampling for ITC and ERSP
• phase_angle_correlation Calculates average correlation among phase angles for different trials
• plot_results plot raw data, ERSP, ITC, phase angle correlation, and bootstrap results

##Dependencies ###circstat toolbox
Philipp Behrens. A Matlab Toolbox for Circular Statistics. Journal of Statistical Software, 2009, 31(10). ####Required from circStat package:

• circ_r Resultant vector length
• circ_mean Mean direction of a sample of circular data
• circ_confmean Confidence intervals for mean direction
• circ_corrcc Circular-circular correlation coefficient

###EEGLAB package Arnaud Delorme, Scott Makeig. EEGLAB: an open source toolbox for analysis of single-trial EEG dynamics. Journal of Neuroscience Methods, 2004, 134:9-21. ####Required from eeglab package:

• eegfilt Low/High pass filter data