Symmetry relations in multidimensional Fourier transform pairs
type: Item
instance of: scholarly article
title: Symmetry relations in multidimensional Fourier transform pairs
zbMATH Open document ID: 0567.42014
DOI: 10.1007/BF01599172
author: M. N. S. Swamy
author: P. Karivaratha Rajan
published in: Circuits, Systems, and Signal Processing
publication date: 1984-01-01T00:00:00Z
review text: An interesting problem of filtering theory is discussed: given some types of symmetries of a signal (or of its Fourier transform (FT)) what are the symmetries induced for its FT (or for its corresponding signal). The symmetry is expressed by a set of parameters entering the signal of its FT. Multidimensional FT are considered. Applications for continuous time and for discrete time signals are given. The results may prove to be very useful in the design of 2-dimensional digital filters.
Mathematics Subject Classification ID: 42C99
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 3905182
zbMATH Keywords: symmetries of a signal
zbMATH Keywords: Fourier transform
zbMATH Keywords: continuous time
zbMATH Keywords: discrete time signals
MaRDI profile type: Publication
cites work: Quadrantal symmetry associated with two-dimensional digital transfer functions
cites work: Symmetry constraints on two-dimensional half-plane digital transfer functions
cites work: K-cyclic symmetries in multidimensional sampled signals
cites work: Design of two-dimensional digital filters on the basis of quadrantal and octagonal symmetry
cites work: Q5528042
cites work: Q3786383
description: scientific article; zbMATH DE number 3905182