Multidimensional discrete convolution

Known as: Multidimensional Convolution

In signal processing, multidimensional discrete convolution refers to the mathematical operation between two functions f and g on an n-dimensional…

Papers overview

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2016

Fast multidimensional convolution can be performed naively in quadratic time and can often be performed more efficiently via the…

2012

Volterra series based model, which is comprised of uniand multi-convolutions in terms of various inputs, could provide an…

2000

An ef®cient implementation of the Volterra ®lter is presented which uses a frequency domain representation to reduce the number…

2000

This paper presents a novel recursive algorithm for generating higher-order multidimensional (or m-D for short) convolution by…

1996

The objective of this paper is to present a fast algorithm to compute the time-domain output of a third-order Volterra filter…

1992

The relationship between block size and computational efficiency is investigated when a linear convolution is implemented by a…

1991

It is shown that multidimensional convolution need not be associative. Further, for any positive integer k, it is shown that the…

1982

After evaluating Shannon’s sampling theorem for functions of several variables, the aliasing error is estimated in dependence…

1980

We develop the theory of generalized discrete Fourier transforms (GDFTs) from the point of view of the Chinese Remainder Theorem…

1966

Abstract : The systems considered are those that can be characterized by a finite set of Volterra kernels. The approach is to…