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Fast Algorithms for Black Box Modelling of Static Hammerstein Nonlinearities

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Emulation of Hammerstein nonlinearities using Volterra series is a popular approach for black box modelling of digital and analog nonlinearities. A simplified nonlinear Volterra model (SNVM) is a method of capturing the behaviour of a static nonlinear system. Emulation of the nonlinearity using SNVM on band–limited signals introduces aliasing. Antiderivative antialiasing (ADAA) when applied to band–limited signals is a novel approach of achieving antialiasing for SNVM, however it is computationally intensive to be practical for real time applications. In this paper, we use different optimization strategies to reduce the complexity of the algorithm and achieve faster than real-time black box modelling of static Hammerstein nonlinearities.

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