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. 2019 Sep 17;19(18):4008. doi: 10.3390/s19184008

Table A1.

Inclination signature (IS) feature set.

Feature
ID
Feature
Symbol
Feature Definition Description
1 θ* max(θj) Maximum inclination angle during drink event
2 D length(θj) Duration of drinking event
3–11 Aθk count(θj<T(k)), k=1
count(T(k1)θj<T(k))
k{2,7}
count(θjT(k)), k=8
T(k){20°, , 90°}
Number of samples for which inclination angle satisfies specified amplitude range criteria
12–20 ARPk count(θjθ*<P(k)), k=1
count(P(k1)θjθ*<P(k)), 
k{2,7}
count(θjθ*P(k)), k=8
P(k){20%, , 90%}
Number of samples for which normalized inclination angle satisfies relative amplitude criteria
21 Qθ θ*D Ratio of maximum inclination value to duration
22 θ¯ mean(θj) Mean inclination angle
23 DθR argmax(θj)Dargmax(θj) Ratio of time for which inclination angle is increasing relative to decreasing
24–25 Sθ, SθT Tm=1Uθmj Riemann sum approximation to integral of inclination curve over entire duration (U=D) or inclination interval (U=argmax(θj))
26 REθ θ*θ1argmax(θj)1 Slope of line intersecting inclination trajectory start of trajectory time of maximum value
27 FEθ θDθ*Dargmax(θj) Slope of line intersecting inclination trajectory at time of maximum value and end of trajectory
28/29 θT*/
θA*
max(θ(1:argmax(θj))j)/
max(θ(argmax(θj):D)j)
Maximum rate of inclination/declination, where θj is a numerical estimate of the derivative of θj
30/31 θ¯T/
θ¯A
mean(θ(1:argmax(θj))j)/
mean(θ(argmax(θj):D)j)
Mean rate of inclination/declination
32/33 sθT/
sθA
std(θ(1:argmax(θj))j)/
std(θ(argmax(θj):D)j)
Standard deviation of inclination/declination rate