Convolution theorems for linear transforms

Convolution theorems for linear transforms

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...

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Veröffentlicht in:IEEE transactions on signal processing 1998-10, Vol.46 (10), p.2819-2821
1. Verfasser: Stone, H.S.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Constraint theory
Convolution
Data compression
Detection, estimation, filtering, equalization, prediction
Discrete Fourier transforms
Exact sciences and technology
Fast Fourier transforms
Fourier transforms
Image coding
Information, signal and communications theory
Multiresolution analysis
Signal and communications theory
Signal, noise
Software libraries
Telecommunications and information theory
Wavelet transforms
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Beschreibung
Zusammenfassung: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.
ISSN:1053-587X
1941-0476
DOI:10.1109/78.720385