Parameter decoupling for transfer function identification during quasi-harmonic operation

Using a frequency domain model arising from Fourier moment functionals of the Shinbrot type (1957), it is shown how a particular decoupling can be exploited in estimating parameters that characterize the numerator and denominator transfer function polynomials when sinusoidal probing signals are used during an otherwise transient or nonstationary state of operation. Potential applications include frequency analyses of lightly damped systems for which establishing steady state or stationary operation may require unreasonably long settling times