knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#>"
)

title: "Feature Definitions" author: "Thanneer Malai Perumal" date: "Mon Jun 26 17:46:41 2017" output: html_document


Tapping

| Feature Name | Definition | | ----------------- | ------------------------------------------------------------------------------------------------- | | meanTapInter | mean tapping interval | | medianTapInter | median tapping interval | | iqrTapInter | interquartile range tapping interval | | minTapInter | minimum tapping interval | | maxTapInter | maximum tapping interval | | skewTapInter | skewness tapping interval | | kurTapInter | kurtosis tapping interval | | sdTapInter | standard deviation tapping interval | | madTapInter | mean absolute deviation tapping interval | | cvTapInter | coefficient of variation tapping interval | | rangeTapInter | range tapping interval | | tkeoTapInter | teager-kaiser energy operator tapping interval | | ar1TapInter | autocorrelation (lag = 1) tapping interval | | ar2TapInter | autocorrelation (lag = 2) tapping interval | | fatigue10TapInter | difference in mean tapping interval between the first and last 10% of the tapping interval series | | fatigue25TapInter | difference in mean tapping interval between the first and last 25% of the tapping interval series | | fatigue50TapInter | difference in mean tapping interval between the first and last 50% of the tapping interval series | | meanDriftLeft | mean drift in the left button | | medianDriftLeft | median drift in the left button | | iqrDriftLeft | interquartile range of drift in the left button | | minDriftLeft | minimum of drift in the left button | | maxDriftLeft | maximum of drift in the left button | | skewDriftLeft | skewness of drift in the left button | | kurDriftLeft | kurtosis of drift in the left button | | sdDriftLeft | standard deviation of drift in the left button | | madDriftLeft | mean absolute deviation of drift in the left button | | cvDriftLeft | coefficient of variation of drift in the left button | | rangeDriftLeft | range of drift in the left button | | meanDriftRight | mean drift in the right button | | medianDriftRight | median drift in the right button | | iqrDriftRight | interquartile range of drift in the right button | | minDriftRight | minimum of drift in the right button | | maxDriftRight | maximum of drift in the right button | | skewDriftRight | skewness of drift in the right button | | kurDriftRight | kurtosis of drift in the right button | | sdDriftRight | standard deviation of drift in the right button | | madDriftRight | mean absolute deviation of drift in the right button | | cvDriftRight | coefficient of variation of drift in the right button | | rangeDriftRight | range of drift in the right button | | numberTap | number of taps | | buttonNoneFreq | frequency where neither the left or right buttons were hit | | corXY | correlation between the X and Y coordinates of the hits |

Acceleromter and Gyroscope

(Walking, Tremor, Rest etc.,)

| Feature Name
(.tm =time
.fr=frequency) | Description | | ----------------- | ------------------------------------------------------------------------------------------------- | | complexity.tm | Complexity of a time series $$ \sqrt{\frac{Var(f_s^2\frac{d^2 x}{dt^2 })}{(Var(f_s \frac{dx}{dt})}} $$ Where $Var$ means variance | | dfa.tm | Scaling exponent estimated after performing detrended fluctuation analysis(DFA) | | energy.tm | Total energy | | IQR.tm | Interquartile Range (Q25 - Q75) | | Kurtosis.tm | $$E\left[\left(\frac{X-μ}{σ}\right)^4\right]$$ Where $X$ is the signal, $μ$ is the mean and $σ$ is the standard deviation; and $E[.]$ is the expectation | | mean.tm | Mean $$E[X]$$ Where $X$ is the signal and $E[.]$ is the expectation | | median.tm | Median
Middle value of the measurements, i.e the 50th Quartile | | mn.tm | Minimum $$x_{min},x_{min}≤x,∀x$$ | | mobility.tm | Mobility of a time series $$\sqrt{\frac{Var(f_s* \frac{dx}{dt})}{Var(x)}}$$ Where $Var$ means variance | | mode.tm | Mode, Most occuring measure $$x_{mode}, #x_{mode} ≥ #x,∀x$$ | | mtkeo.tm | Mean of the Teager-Kaiser energy operator | | mx.tm | Max $$x_{max}, x_{max} ≥x,∀x$$ | | Q25.tm | $25th$ Quartile | | Q75.tm | $75th$ Quartile | | range.tm | Range: Max - Min $$x_{max} - x_{min}$$ | | rmsmag.tm | Root Mean Square Magnitude | | rough.tm | Roughness or Total Curvature of the time series | | rugo.tm | Rugosity of the time series | | sd.tm | Standard Deviation $$E[(X-μ)^2]$$ Where $X$ is the signal, $μ$ is the mean and $E[.]$ is the expectation | | skewness.tm | $$E\left[\left(\frac{X-μ}{σ}\right)^3\right]$$ Where $X$ is the signal, $μ$ is the mean and $σ$ is the standard deviation; and $E[.]$ is the expectation | | cent.fr | Centroid of the frequency spectrum, i.e the weighted mean of all frequencies present in the Fourier Spectrum $$Centroid = \frac{Σf.H(f)}{ΣH(f)}$$ Where $f$ is the frequency, and $H(f)$ is the spectral magnitude at that frequency | | ewt.permEnt.fr | Permutation entropy of the probability mass function(PMF) obtained from the energies of the modes obtained from Empirical Wavelet Transform(EWT) | | ewt.renyiEnt.fr | Renyi entropy of the PMF calculated using the modes obtained from EWT | | ewt.shannonEnt.fr| Shannon entropy of the PMF calculated using the modes obtained from EWT | | ewt.simpsonEnt.fr| Simpson entropy of the PMF calculated using the modes obtained from EWT | | ewt.tsallisEnt.fr| Tsallis entropy of the PMF calculated using the modes obtained from EWT | | IQR.fr | Interquartile range (Q75-Q25) | | kurt.fr | Kurtosis of the frequency probability distribution | | md.fr | Median frequency | | mn.fr | Mean frequency | | mod.fr | Frequency with the maximum amplitude in the frequency spectrum, i.e mode frequency | | mx.fr | Maximum amplitude of the frequency probability distribution | | Q25.fr | 25th Quartile of the frequency spectrum | | Q75.fr | 75th Quartile of the frequency spectrum | | sd.fr | Standard deviation of the frequency spectrum | | sem.fr | Mean standard deviation, i.e $$\frac{sd}{\sqrt{n}}$$ | | sfm.fr | Spectral Flatness Measure of the frequency probability distribution | | sh.fr | Shannon Entropy of the frequency probability distribution | | skew.fr | Skewness of the frequency probability distribution | | EnergyInBandk | Energy present in k-(k+1) Hz band of the frequency spectrum |



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