DocumentCode
1433562
Title
Convolution theorems for linear transforms
Author
Stone, Harold S.
Author_Institution
NEC Res. Inst., Princeton, NJ, USA
Volume
46
Issue
10
fYear
1998
fDate
10/1/1998 12:00:00 AM
Firstpage
2819
Lastpage
2821
Abstract
This correspondence explores the existence of convolution theorem for linear transformations under a variety of different assumptions. There are eight convolution theorems, all Fourier-related with only N operations in the transform domain and no ordering constraints on the convolution components in the result. They include circular convolutions and correlations
Keywords
Fourier transforms; convolution; correlation methods; matrix algebra; Fourier transforms; circular convolution; circular correlation; convolution theorems; linear transforms; transform domain; Constraint theory; Convolution; Data compression; Discrete Fourier transforms; Fast Fourier transforms; Fourier transforms; Image coding; Multiresolution analysis; Software libraries; Wavelet transforms;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.720385
Filename
720385
Link To Document