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Average signal magnitude
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\(\frac{1}{N}\sum\nolimits _{i=1}^{N}\sqrt{x_i^2 + y_i^2 + z_i^2}\)
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Maximum value
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\({\text {max}}({\mathbf {x}})\)
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Minimum value
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\({\text {min}}({\mathbf {x}})\)
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Mean (\(\bar{x}\))
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\(\frac{1}{N} \sum\nolimits _{i=1}^{N} x_i\)
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Standard deviation (\(\sigma _x\))
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\(\sqrt{ \frac{1}{N} \sum\nolimits _{i=1}^{N}(x_i - \bar{x})^2}\)
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Variance
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\(\sigma^2_x\)
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Skewness
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\(\frac{\frac{1}{N} \sum \nolimits_{i=1}^{N} (x_i - \bar{x})^3}{\sigma^3_x}\)
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Kurtosis
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\(\frac{\frac{1}{N} \sum\nolimits _{i=1}^{N} (x_i - \bar{x})^4}{\sigma^4_x}\)
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Energy
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\(\frac{1}{N} \sum\nolimits _{i=1}^{N} |X_i|^2\)
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Spectral entropy
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\(\sum\nolimits _{i=1}^{N} P(x_i) \log \frac{1}{P(x_i)}\)
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Pairwise correlation between the axes
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\(\frac{{\hbox {cov}}({{\mathbf {x}}}, {{\mathbf {y}}})}{\sigma_x \sigma_y}\)
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