Fuzzy approach to Fourier transform

Bohdan S. Butkiewicz

doi:10.1117/12.674957

26 April 2006 Fuzzy approach to Fourier transform

Bohdan S. Butkiewicz

Proceedings Volume 6159, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments IV; 615947 (2006) https://doi.org/10.1117/12.674957
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments IV, 2005, Wilga, Poland

Abstract

The paper presents a new approach to description of Fourier transform taking in consideration uncertainty of transformed function. Conventional approach to uncertainty use probabilistic description. Here, fuzzy logic theory is applied to describe this uncertainty. A new definition, called later Fuzzy Fourier Transform is proposed. Some examples of application are shown.

Citation Download Citation

Bohdan S. Butkiewicz "Fuzzy approach to Fourier transform", Proc. SPIE 6159, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments IV, 615947 (26 April 2006); https://doi.org/10.1117/12.674957

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