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Table 1 Extracted features from EEG time-series (X) for tremor prediction

From: Parkinson’s disease tremor prediction using EEG data analysis-A preliminary and feasibility study

Feature name

Category

Description

Entropy(E)

Time-domain

Shannon entropy for wavelet coefficients in each decomposition node of wavelet packet. The final entropy is calculated by the summation of entropy values for all nodes of wavelet packet.

\(E=\sum _{i}E\left({s}_{i}\right)\)

Where si is the vector of wavelet coefficients in i-th node and E is the entropy.

\(E\left({s}_{i}\right)={{s}_{i}}^{2}log{{s}_{i}}^{2}\)

L-moments (L-scale, L-skewness, L-kurtosis)

Time-domain

L-moment are statistics calculated by linear combination of conventional moments [35]. L-moments are more robust against outliers compared with conventional moments.

Form Factor (FF)

Time-domain

The ratio of the mobility of the first derivative of the signal to the mobility of the signal [36], where mobility is the ratio of standard deviation for first derivative of time-series and the time-series itself:

\(FF=\frac{{\sigma }_{{X}^{{\prime }{\prime }}}/{\sigma }_{{X}^{{\prime }}}}{{\sigma }_{{X}^{{\prime }}}/{\sigma }_{X}}\)

Sample Entropy (Sen)

Time-domain

Negative logarithm of conditional probability of the successive segmented time-series samples. It is an indicator of time-series complexity [37]

Root mean square (RMS)

Time-domain

\({X}_{RMS}=\sqrt{\frac{1}{N}\sum _{n=1}^{N}{\left|{X}_{n}\right|}^{2}}\)

Conventional statistics (median, mean, variance, skewness, kurtosis, higher order statistics (5th and 6th momentums)

Time-domain

The mean value, median value, variance, kurtosis, skewness and 5th and 6th order statistics. These statistics are dependent to the distribution of data points of time-series.

Peak frequency (Hz)

Frequency-domain

The frequency in which maximum value of power spectral density was observed.

Band power (Hz)

Frequency-domain

The average power in the input signal.

Power band width (Hz)

frequency-domain

3dB bandwidth (half power bandwidth). Using the peridogram power spectrum estimate by a rectangular window, the frequency difference between points in which the spectrum is at least 3dB lower than the maximum point of spectrum.