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. 2013 Mar 21;10:31. doi: 10.1186/1743-0003-10-31

Table 1.

Features used for identifying the inertial sensors

    Feature  
Description
a
ω
α
 RMS of the
-magnitude
RMS{ ||a||}
RMS{ ||ω||}
RMS{ ||α||}
-x-component
RMS{ ax}
RMS{ ωx}
RMS{ αx}
-y-component
RMS{ ay}
RMS{ ωy}
RMS{ αy}
 Variance of the
-magnitude
Var{ ||a||}
Var{ ||ω||}
Var{ ||α||}
-x-component
Var{ ax}
Var{ ωx}
Var{ αx}
-y-component
Var{ ay}
Var{ ωy}
Var{ αy}
-z-component
Var{ az}
Var{ ωz}
Var{ αz}
 Sum of cc’s of a sensor with all other sensors of the
-magnitude
Σcc{ ||a||}
Σcc{ ||ω||}
Σcc{ ||α||}
-x-component
Σcc{ ax}
Σcc{ ωx}
Σcc{ αx}
-y-component
Σcc{ ay}
Σcc{ ωy}
Σcc{ αy}
-z-component
Σcc{ az}
Σcc{ ωz}
Σcc{ αz}
 The maximum value of the cc’s of a sensor with all other sensors of the
-magnitude
Max{cc{ ||a||}}
Max{cc{ ||ω||}}
Max{cc{ ||α||}}
-x-component
Max{cc{ ax}}
Max{cc{ ωx}}
Max{cc{ αx}}
-y-component
Max{cc{ ay}}
Max{cc{ ωy}}
Max{cc{ αy}}
-z-component
Max{cc{ az}}
Max{cc{ ωz}}
Max{cc{ αz}}
 The inter-axis cc’s of a sensor between the
-x- and y-axes
cc{ ax,ay}
cc{ ωx,ωy}
cc{ αx,αy}
-x- and z-axes
cc{ ax,az}
cc{ ωx,ωz}
cc{ αx,αz}
-y- and z-axes cc{ ay,az} cc{ ωy,ωz} cc{ αy,αz}

All 57 (19 ·3) features are given as input to the decision tree learner. The C4.5 algorithm automatically chooses the features that split the data most effectively.