Article ID Journal Published Year Pages File Type
6420415 Applied Mathematics and Computation 2015 6 Pages PDF
Abstract

•Application of fractional calculus.•Generalization of correlation operator.•New concept in signal processing.

The paper revisits the convolution operator and addresses its generalization in the perspective of fractional calculus. Two examples demonstrate the feasibility of the concept using analytical expressions and the inverse Fourier transform, for real and complex orders. Two approximate calculation schemes in the time domain are also tested.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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