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• W2096056457 abstract "Hypercomplex Fourier transforms are increasingly used in signal processing for the analysis of higher-dimensional signals such as color images. A main stumbling block for further applications, in particular concerning filter design in the Fourier domain, is the lack of a proper convolution theorem. The present paper develops and studies two conceptually new ways to define convolution products for such transforms. As a by-product, convolution theorems are obtained that will enable the development and fast implementation of new filters for quaternionic signals and systems, as well as for their higher dimensional counterparts." @default.
• W2096056457 created "2016-06-24" @default.
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• W2096056457 date "2013-03-08" @default.
• W2096056457 modified "2023-09-27" @default.
• W2096056457 title "Convolution Products for Hypercomplex Fourier Transforms" @default.
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• W2096056457 doi "https://doi.org/10.1007/s10851-013-0430-y" @default.
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