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. 2018 Feb 7;5(2):171442. doi: 10.1098/rsos.171442

Table 4.

Feature characteristics. Feature characteristics computed for each individual window. Here f represents the signal and fs the sampling frequency.

feature characteristics description/formula
interquartile range difference between the 75th percentile and the 25th percentile value of a window
kurtosis kurtosis calculated from window values
mean mean of all window values
standard deviation standard deviation of all window values
minimum value minimum value of all window values
maximum value maximum value of all window value
number of zero crossings number of zero crossings in a window after subtracting the window mean value from every window sample
spectral entropy power spectral density:
PSD = |X(f)2|
X(f) – DFT of original signal. Discrete Fourier transform (DFT)
normalized PSD:
PSDnorm(f)=PSD(f)ΣPSD(f)
spectral entropy:
SE=ΣnormPSD(f)log(PSDnorm(f))
dominant frequency after applying Fourier transformation, this is the frequency at which the signal has its highest power
signal area signal area:
SA=ΣMag1fs
Mag—acceleration or gyroscope magnitude
fs—sampling frequency
absolute signal area absolute signal area:
ASA=Σ|Mag|1fs