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Propagative identification of SIMO systems using the Mean Differential Cepstrum (MDC)

Abstract

An alternative SIMO system identification technique is presented in this paper, requiring only response measurements. The technique is based on the Mean Differential Cepstrum, but in a different format from the original, and has two solution formulations, which are differentiated by the use of a Taylor series approximation. The identification processes give both the magnitude and phase in a propagative manner, solving in the frequency domain from one frequency to the next. Initial values near zero frequency can be taken from the static stiffness properties (for fixed systems) or inertial properties (for free-free systems). The technique has the advantage of not requiring the assumption of minimum-phase properties for the system being identified, which is successfully demonstrated on simulated minimum and non-minimum phase systems. A discussion on the stability of the two solution formulations is given, together with the results from the application to measurements from an experimental test rig. Since the method is limited to transient inputs, the excitations used are both burst random and impulsive forces in each test scenario

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