Share Email Print
cover

Proceedings Paper

Some generalization of discrete convolution
Author(s): Bohdan S. Butkiewicz
Format Member Price Non-Member Price
PDF $17.00 $21.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

Conventional discrete convolution is defined as sum of product of two components, where one is shifted in time. In the paper the product is replaced by other operations called triangular norms. The algebraic product is a member of this family of operations. Therefore, such convolution is generalization of conventional convolution. This approach leads to nonlinear operations. Thus, such idea represents a concept of nonlinear filtering. It was shown that such filters has identical impulse, step, and frequency responses as conventional one. However, they are nonlinear filters and of course responses to an input signal can be different for conventional and such filters. Some other properties of these filters are investigated and compared.

Paper Details

Date Published: 14 September 2010
PDF: 6 pages
Proc. SPIE 7745, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2010, 77451L (14 September 2010); doi: 10.1117/12.871989
Show Author Affiliations
Bohdan S. Butkiewicz, Warsaw Univ. of Technology (Poland)


Published in SPIE Proceedings Vol. 7745:
Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2010
Ryszard S. Romaniuk, Editor(s)

© SPIE. Terms of Use
Back to Top