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Then, PDA algorithm can be obtained using a similar derivation as in decorrelated model discussed in Section 3.1.1.
Using a similar derivation, it is straightforward to find that if the serial-side impedance is modulated by a supplementary signal, for example, ∆X2 = KX∆δ, then the resonant frequency is given by: omega_{text{n}} = sqrt {frac{{omega_{0} }}{{T_{text{J}} }}left( {K_{text{X}} frac{{partial P_{text{e}} }}{{partial X_{2} }} + frac{{partial P_{text{e}} }}{partial delta }} right)} (24).
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Specifically, combining Eqs. 4 and 5 and using a similar baseline reparameterization as in the derivation leading to Eq. 7 gives the following continuous end point analog: where R1 t) satisfies Eq. 8, and BSV may be placed on more parameters in addition to baseline b.
A similar derivation using the same thought experiment but appealing to the Doppler effect was given by Langevin (1913) (see the discussion of the inertia of energy in Fox (1965, p. 8)).
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