#### Oscillation Frequency

From Fig.F.33, we can see that the impedance of the parallel combination of the mass and spring is given by

(using the product-over-sum rule for combining impedances in parallel). The poles of this impedance are given by the roots of the denominator polynomial in :

The resonance frequency of the mass-spring oscillator is therefore

Since the poles are on the axis, there is no damping, as we expect.

We can now write reflection coefficient (see Fig.F.35) as

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DC Analysis of the WD Mass-Spring Oscillator

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Checking the WDF against the Analog Equivalent Circuit