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.
Convergence Frequency Domain Nonlinear oscillator Volterra Series
Liangmin Li Stephen A Billings
Department of Automatic Control and Systems Engineering University of Sheffield Mappin Street, Sheffield S1 3JD, UK
国际会议
2010 IEEE 10th International Conference on Signal Processing(第十届信号处理国际会议 ICSP 2010)
北京
英文
155-158
2010-08-24(万方平台首次上网日期,不代表论文的发表时间)