A New Method for Determining the Generalised Frequency Response Functions of Nonlinear Systems

The Generalised Frequency Response Functions (GFRFs) are important tools for the analysis of nonlinear systems based on the Volterra series approach. A new algorithm for extracting the GFRFs from a nonlinear difference equation model is proposed in this paper. The advantage of the new method over available techniques is that the new method determines the GFRFs using a numerical procedure based on the solution to Diophantine equations. This allows a considerable reduction of computation efforts.