Formulas: common analysis functions and statistical definitions of VSD data ensembles

MIL-STD-810H, Environmental Engineering Considerations and Laboratory Tests

Last Updated 29 Oct 2026

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Formula 1

When computing estimates of these ASD functions, it is desirable to compute the linear average (assuming the number of samples is sufficiently large $\left(n_{d}>30\right)$ ), the standard deviation and the peak, all as a function of frequency, over the length of a test run.

\left(n_{d}>30\right)

Formula 2

G_{a}(f)=\frac{1}{M} \sum_{i=1}^{M} G_{s_{i}}(f)

Formula 3

G_{e}(f)=\left[\frac{1}{M-1} \sum_{i=1}^{M}\left[G_{s_{i}}(f)-G_{a}(f)\right]^{2}\right]^{1 / 2}

Formula 4

G_f(f) = G_a(f) + G_e(f)