Convolution theorems: partitioning the space of integral transforms: II

Bruce W. Suter; Alan R. Lindsey

doi:10.1117/12.367670

2 November 1999 Convolution theorems: partitioning the space of integral transforms: II

Bruce W. Suter, Alan R. Lindsey

Proceedings Volume 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX; (1999) https://doi.org/10.1117/12.367670
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

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.

Citation Download Citation

Bruce W. Suter and Alan R. Lindsey "Convolution theorems: partitioning the space of integral transforms: II", Proc. SPIE 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, (2 November 1999); https://doi.org/10.1117/12.367670

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