On the convergence of the Volterra series response of quadratically nonlinear systems using a frequency domain analysis

The Volterra series is associated with so-called weakly nonlinear systems, which can be well described by the first few kernels with the higher order kernels falling off rapidly. This paper is concerned with the convergence analysis of the Volterra series model of a quadratically nonlinear system driven by harmonic inputs and a simple criterion is proposed to provide an estimation of the upper limit of the magnitude of the harmonic inputs to ensure convergence.