THE K-FILTER - A NEW ARCHITECTURE TO MODEL AND DESIGN NONLINEAR-SYSTEMS FROM KOLMOGOROVS THEOREM

A new architecture to model and design non-linear transfer functions i s presented using a new formulation for non-linear systems. This appro ach follows the guidelines of the mapping theorem due to A. Kolmogorov and it is based on the direct Fourier transform of the transfer funct ion. The resulting scheme is formed by two stages; the first stage con tains phase modulators, which, based on random sampling concepts repor ted by I. Bilinskis, are duplicated with a small perturbation in the m odulation factor. This stage depends on the number of diversity data a nd it is independent of the function. The second step reduces to Volte rra systems and a direct combiner of the new diversity kernels. The re ported architecture and design seem to be able to cope with both linea r and non-linear filtering problems, which can be considered as a form al framework for generalised signal processing.