Generalized Time Space Approach and Convolution Arrays

Abstract

This presentation summarizes a generalized time space approach in order to implement linear and nonlinear transformations by means of convolution arrays.

Fourier transforms and its relatives such as Hilbert, Henkel, Mellin and Bessel transformations are handled by such arrays and illustrated throughout the original time space diagrams in combination with Lorenz transforms.

This brief note concludes with multidimensional convolution modes. A special emphasis is given to toroidal convolution as a demonstration of possible topological operations.

A laboratory realization is described.