Identification of double-valued nonlinearities from their harmonic response

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Abstract
A method is presented for determining an equation for a double-valued nonlinearity from a measurement of its response to a sinusoidal input. It is shown that the nonlinearity can be represented as a series in Cheby̅shev polynomials of the first and second kind with argument dependent on the input magnitude. The coefficients of the Cheby̅shev-polynomial terms in the series are the measured in-phase and quadrature output-harmonic magnitudes.

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