ID | Expression | Description |
---|---|---|
1st family | ||
1. EnvMean/Max | f1 = \(\frac{{\text{mean}} \, \text{(Env)}}{\mathrm{max}({\text{Env}})}\) | Ratio of the mean over the max of the envelope signal |
2. EnvMed/Max | f2 = \(\frac{{\text{median}} \, \text{(Env)}}{\mathrm{max}({\text{Env}})}\) | Ratio of the median over the max of the envelope signal |
3. EnvMax | f3 = \(\mathrm{max}\left({\text{Env}}\right)\) | Maximum envelope amplitude |
4. EnvMaxTime | f4 = arg max(Env) | Time of the maximum envelope amplitude |
5. RawKurt | f5 = \({(\frac{{\mu }_{\text{Raw}}}{{\sigma }_{\text{Raw}}})}^{4}\) | Kurtosis of the raw signal |
6. EnvKurt | f6 = \({(\frac{{\mu }_{\text{Env}}}{{\sigma }_{\text{Env}}})}^{4}\) | Kurtosis of the envelope |
7. RawSkew | f7 = \({(\frac{{\mu }_{\text{Raw}}}{{\sigma }_{\text{Raw}}})}^{3}\) | Skewness of the raw signal |
8. EnvSkew | f8 = \({(\frac{{\mu }_{\text{Env}}}{{\sigma }_{\text{Env}}})}^{3}\) | Skewness of the envelope |
9.\({\text{ACF}}_{1/3}\) | f9 = \({\int }_{1}^{3/T}{\text{C}}(\tau)\text{d}\tau\) | Energy in the first third of the autocorrelation function |
10. \({\text{ACF}}_{2/3}\) | f10 = \({\int }_{\frac{\text{T}}{3}}^{\mathrm{T}}{\text{C}}\left(\tau\right)\text{d}\tau\) | Energy in the remaining part of the autocorrelation function |
11. \({\text{ACF}}_{1/3}\)/\({\text{ACF}}_{2/3}\) | f11 = \(\frac{{f}_{9}}{{f}_{10}}\) | Ratio of the above two |
2nd family | ||
12. Max \({BP}_{2-8 Hz}\) | f12 = max(\({BP}_{2-8 Hz}\)) | Maximum amplitude of the 2–8 Hz filtered signal |
13. NPks \({BP}_{2-8 Hz}\) | f13 = length(findpeaks(\({\text{Env}}_{\text{BP}}\))) | Number of peaks in the envelope filtered by 2–8 Hz |
14. \({ BP}_{0.1-1 Hz}\) | f14 = \({\int }_{0}^{\mathrm{T}}{BP}_{0.1-1 Hz}\left({\text{t}}\right){\text{dt}}\) | Energy of the signal filtered by 0.1–1 Hz |
15. \({BP}_{2-8 Hz}\) | f15 = \({\int }_{0}^{\mathrm{T}}{BP}_{2-8 Hz}\left({\text{t}}\right){\text{dt}}\) | Energy of the signal filtered by 2–8 Hz |
16. \({ BP}_{5-20 Hz}\) | f16 = \({\int }_{0}^{\mathrm{T}}{BP}_{5-20 Hz}\left({\text{t}}\right){\text{dt}}\) | Energy of the signal filtered by 5–20 Hz |
17. Kurt \({BP}_{0.1-1 Hz}\) | f17 = \({(\frac{{\mu }_{\text{BP1}}}{{\sigma}_{\text{BP1}}})}^{4}\) | Kurtosis of the signal filtered by 0.1–1 Hz |
18. Kurt \({BP}_{2-8 Hz}\) | f18 = \({(\frac{{\mu }_{\text{BP2}}}{{\sigma}_{\text{BP2}}})}^{4}\) | Kurtosis of the signal filtered by 2–8 Hz |
19. Kurt \({BP}_{5-20 Hz}\) | f19 = \({(\frac{{\mu }_{\text{BP3}}}{{\sigma}_{\text{BP3}}})}^{4}\) | Kurtosis of the signal filtered by 5–20 Hz |
3rd family | ||
20. KurtDFT | f20 = Kurtosis(\(\underset{t=0\dots T}{\mathrm{max}}[\text{SPEC(}t,f\text{)}]\)) | Kurtosis of the maximum of all DFT as a function of time |
21. DFTmax/mean | f21 = mean(\(\frac{\underset{t=0\dots T}{\mathrm{max}}[\text{SPEC(}t,f\text{)}]}{\underset{t=0\dots T}{\mathrm{mea}n}[\text{SPEC(}t,f\text{)}]}\)) | Mean ratio between the maximum and the mean of all DFT |
22. DFTmax/med | f22 = mean(\(\frac{\underset{t=0\dots T}{\mathrm{max}}[\text{SPEC(}t,f\text{)}]}{\underset{t=0\dots T}{\mathrm{media}n}[\text{SPEC(}t,f\text{)}]}\)) | Mean ratio between the maximum and the median of all DFT |
23. NPks_DFTmax | f23 = length(findpeaks(\(\underset{t=0\dots T}{\mathrm{max}}[\text{SPEC(}t,f\text{)}]\))) | Number of peaks in the curve showing the temporal evolution of the DFT max |
24. NPks_DFTmean | f24 = length(findpeaks(\(\underset{t=0\dots T}{\mathrm{mean}}[\text{SPEC(}t,f\text{)}]\))) | Number of peaks in the curve showing the temporal evolution of the DFT mean |
25. NPks_DFTmed | f25 = length(findpeaks(\(\underset{t=0\dots T}{\mathrm{median}}[\text{SPEC(}t,f\text{)}]\))) | Number of peaks in the curve showing the temporal evolution of the DFT median |
26. NPks_DFTmax/mean | f26 = \(\frac{{f}_{23}}{{f}_{24}}\) | Ratio between #23 and #24 |
27. NPk_DFTmax/med | f27 = \(\frac{{f}_{23}}{{f}_{25}}\) | Ratio between #23 and #25 |
28. Sum \({BP}_{2-8 Hz}\)/\({BP}_{5-20 Hz}\) | f28 = \(\frac{\mathrm{sum}(\underset{2\le f\le 8}{\text{[STFT}}\text{(}t,f\text{)]})}{\mathrm{sum}(\underset{5\le f\le 20}{\text{[STFT}}\text{(}t,f\text{)}])}\) | Ratio between the sum of energy in 2–8 Hz and the sum of energy in 5–20 Hz |
29. Sum \({BP}_{2-8 Hz}\)/\({BP}_{5-50 Hz}\) | f29 = \(\frac{\mathrm{sum}(\underset{5\le f\le 20}{[\mathrm{STFT}}\text{(}t,f\text{)])}}{\mathrm{sum}(\underset{5<f\le 50}{[\mathrm{STFT}}\text{(}t,f\text{)])}}\) | Ratio between the sum of energy in 5–20 Hz and higher than 5 Hz |