Generalized convolution

J.A. Tenreiro Machado

Applied Mathematics and Computation, 2015, vol. 257, issue C, 34-39

Abstract: 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.

Keywords: Convolution; Fractional calculus; Signal processing (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:34-39

DOI: 10.1016/j.amc.2014.09.082

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