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Differentiation of a noninteger order and its optical implementation

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Abstract

This paper gives the definition and examples of an arbitrary order differentiation based on some properties of the Fourier transform. To physically implement the generalized differentiation a coherent processing system with binary synthetic filter was used. The experimental part of the paper shows models of the 1-D and 2-D binary filters and results of the filtering process.

© 1982 Optical Society of America

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