Convolution theorems: partitioning the space of integral transforms: II

Details Convolution theorems: partitioning the space of integral transforms: II Convolution theorems: partitioning the space of integral transforms: II

Nov 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999spie.3807..534s&link_type=abstract

Proc. SPIE Vol. 3807, p. 534-545, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, Franklin T. Luk;

Physics

Scientific paper

Investigating a number of different integral transforms uncovers distinct patterns in the type of scale-based convolution theorems afforded by each. It is shown that scaling convolutions behave in quite a similar fashion to translational convolution in the transform domain, such that the many diverse transforms have only a few different forms for convolution theorems. The hypothesis is put forth that the space of integral transforms is partitionable based on these forms.

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