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Antialiasing for Simplified Nonlinear Volterra Models

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Antiderivative antialiasing (ADAA) has emerged as a recent approach to reduce aliases for mathematically defined nonlinearities. In this study, ADAA is applied to simplified nonlinear Volterra modeling, which is a method for blackbox modeling of Hammerstein nonlinearities. Previously reported ADAA approaches contain a variable difference term in the denominator and therefore rely on a continuous piecewise function to prevent very small denominators. However, when applied to simplified Volterra models, this denominator term is eliminated, resulting in a polynomial function. This polynomial ADAA was tested against the standard approach of low-pass filtering the input to prevent aliasing. It was found that these two approaches perform comparably but that by combining them together, superior alias reduction can be achieved.

JAES Volume 70 Issue 9 pp. 690-697; September 2022
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