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In this article a method for the measurement of the linear frequency response of weakly non-linear systems is described. A frequency domain estimator is developed by analyzing the output spectra for single- and multitone excitations of several types of system models with the most complex system one being a parallel-cascade Wiener-Hammerstein-type model which is able to represent a wide range of weakly...
In this article the family of polynomial estimators for the estimation of the linear system response of weakly non-linear systems is examined regarding estimation errors and applicability. The Hp3 estimator is introduced as an extension for measurement setups having both input and output noise and it is shown how the results obtained with the polynomial estimators are related to the parameters of...
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