Modeling arbitrary polynomial bispectra using systems with multiplicity in one- and two-dimensions

Abstract

Introduces a new class of systems, called systems with multiplicity (SWM), to model arbitrary polynomial bispectra. It is shown that an arbitrary polynomial bispectrum of a one-dimensional (1-D) process can always be modeled using an SWM with FIR components. Experimental results for the identification of SWM based on their output bispectra using a proposed method are then presented. In two-dimensions (2-D), it is shown that an arbitrary polynomial bispectrum cannot always be modeled using an SWM with 2-D FIR components, although a given SWM with 2-D FIR components can be identified using the bispectrum of its output.<>