Two dimensional Volterra parameter estimation using a zero tolerance optimisation formulation

This paper forms a part of a series of previous studies we have undertaken, where the problem of nonlinear textured image modeling is examined. We assume that the observed “output” image is derived from a Volterra filter that is driven by a Gaussian input. Both the filter parameters and the input signal are unknown and therefore the problem can be classified as blind or unsupervised in nature. In the statistical approach to the solution of the above problem we seek for equations that relate the unknown parameters of the Volterra model with the statistical parameters of the “output” image to be modeled. These equations are highly nonlinear and their solution is achieved through a novel constrained optimisation formulation