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Measuring Volterra kernels of systems with nonlinearities of analytical and piecewise in the form of a deadband

Abstract

Measuring Volterra kernels of systems with nonlinearities of analytical and piecewise in the form of a deadband

Kislovskiy E.Yu.

Incoming article date: 14.01.2026

This paper concerns the problems of identification of systems with mixed-type nonlinearities. An improved method of frequency identification using a system of correlators, which allows recording a bilinear frequency response is shown. An approach is proposed that provides a more accurate measurement frequency response of Volterra kernels, which consists of output correction. The efficiency of the proposed approach is demonstrated using the example of a nonlinear system including a deadband block. Based on known analytical values, the errors of the methods are calculated.

Keywords: Volterra series, system identification, nonlinear systems, piecewise nonlinearities, frequency responses, Riccati equation