Detection of Change Points in Time Series with Moving Average Filters and Wavelet Transform: Application to EEG Signals

Abstract

We investigated change point detection (CPD) in time series composed of harmonic functions driven by Gaussian noise (in EEGs, in particular) and proposed a method of moving average filters in conjunction with wavelet transform. Numerical simulations showed that CPD runs over 90% within the frequency band <40 Hz. This means that detection of structural change points is almost guaranteed in the respective cases. The mean absolute error (MAE) as a measure of performance of the method was below 5%. The method is rather robust against noise. It has been demonstrated that CPD is possible at the noise amplitude exceeding 25% of the amplitude of harmonic functions. In application of the proposed method on the signals, CPD appeared in 74% of the analyzed EEGs.