Transforming convolution and correlation

Leon Cohen; Alan R. Lindsey; Bruce W. Suter

doi:10.1117/12.449703

5 December 2001 Transforming convolution and correlation

Leon Cohen, Alan R. Lindsey, Bruce W. Suter

Proceedings Volume 4478, Wavelets: Applications in Signal and Image Processing IX; (2001) https://doi.org/10.1117/12.449703
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

We give an explicit expression for the transform of a signal in an arbitrary representation which has first been filtered in another representation. Using this formula we connect the work of Cohen for obtaining convolution and correlation theorems in arbitrary representations with the work of Lindsey and Suter for partitioning the space of integral transforms.

Citation Download Citation

Leon Cohen, Alan R. Lindsey, and Bruce W. Suter "Transforming convolution and correlation", Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); https://doi.org/10.1117/12.449703

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