
doi: 10.1109/78.720385
Summary: This correspondence explores the existence of convolution theorems 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.
Convolution as an integral transform, convolution theorems, wavelet packets, Convolution, factorization for one variable harmonic analysis, Fourier transform, Image processing (compression, reconstruction, etc.) in information and communication theory, linear transformations, Numerical methods for discrete and fast Fourier transforms, data compression, image searching, multiresolution analysis
Convolution as an integral transform, convolution theorems, wavelet packets, Convolution, factorization for one variable harmonic analysis, Fourier transform, Image processing (compression, reconstruction, etc.) in information and communication theory, linear transformations, Numerical methods for discrete and fast Fourier transforms, data compression, image searching, multiresolution analysis
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