Formulas: Frequency Domain Transfer Function Relationship

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

Last Updated 29 Oct 2026

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Formula 1

\underset{n \times 1}{\mathbf{Y}}=\underset{n \times m}{\mathbf{H}_{x y}^{\prime}} \underset{m \times 1}{\mathbf{X}}

Formula 2

Recall from above that $\underset{\mathrm{n} \times 1}{\mathbf{Y}}=\underset{\mathrm{n} \times \mathrm{m}}{\mathbf{H}_{\mathrm{xy}}} \underset{\mathrm{m} \times 1}{\mathbf{X}}$ , from which the following is derived:

\underset{\mathrm{n} \times 1}{\mathbf{Y}}=\underset{\mathrm{n} \times \mathrm{m}}{\mathbf{H}_{\mathrm{xy}}} \underset{\mathrm{m} \times 1}{\mathbf{X}}