A composite signal model that simultaneously realizes arbitrary polynomial bispectra and rational power spectra

A novel signal representation, called a system with multiplicity K (SWM-K) is reviewed for exact modeling of a given polynomial bispectrum. An extension of this model is presented such that the extended model can simultaneously realize an arbitrary polynomial bispectrum and a rational power spectrum. In order to simultaneously realize arbitrary polynomial bispectra and rational power spectra, another linear shift-invariant system which is driven by a Gaussian input independent of the other K inputs is added to the SWM-K. Conditions for the existence of this composite model are stated. Simulation results are provided for an image processing example