Signal Processing in Higher Dimensions

Abstract

Suppose the signal is u(t). Two examples of representations in artifical and/or higher dimensions are the autocorrelation: and the (auto-)triple correlation: Isn't it masochistic to deal with these indirect representations of the signal instead of with the signal u(t) itself? The triple correlation is an example of artificial increase of dimensionality. The signal u(t) is ID, the triple correlation u3(t1,t2) is 2D.