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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… 
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Papers overview

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2016
2016
Fast multidimensional convolution can be performed naively in quadratic time and can often be performed more efficiently via the… 
2004
2004
  • Scott C. Douglas
  • 2004
  • Corpus ID: 14561977
This paper presents algorithms and techniques for designing adaptive finite impulse response (FIR) filters that maintain nearly… 
2000
2000
An ef®cient implementation of the Volterra ®lter is presented which uses a frequency domain representation to reduce the number… 
1999
1999
This paper presents a novel recursive algorithm for generating higher order m-dimensional (m-D) convolution by combining the… 
1992
1992
The relationship between block size and computational efficiency is investigated when a linear convolution is implemented by a… 
1991
1991
It is shown that multidimensional convolution need not be associative. Further, for any positive integer k, it is shown that the… 
1987
1987
Bidimensional acyclic convolution arises naturally by considering polynomials whose elements are themselves polynomials… 
1982
1982
After evaluating Shannon’s sampling theorem for functions of several variables, the aliasing error is estimated in dependence… 
1966
1966
Abstract : The systems considered are those that can be characterized by a finite set of Volterra kernels. The approach is to…