reducing the dimensionality of space in correlation and convolution
A. U. Grishentcev
Saint Petersburg National Research University of
Information Technologies, Mechanics and Optics
The paper is received on January 21, 2015
Abstract. In this
paper we formulate and prove theorems about reducing the space dimension and
the correlation with the convolution of n-dimensional sequences. As an
illustration, we consider some examples. These theorems can be widely used in the
problems of digital signal processing, broadband radio, studies solitary waves
(solitons) and other applied and theoretical natural science fields.
correlation, convolution, multi-dimensional signals, the optimization of
computing, digital, broadband signals.