S-transform in digital signal processing of fractional dynamics of continuous systems

O. V. Vasyliev, V. V. Vasylyev, L. A. Simak

Abstract


Application of approximating – operational method of S-transform based on the local and global versions of Legendre polynomials for estimation of average values of signals, average values of derivatives of the first and second orders, and also an estimation of Riemann-Liouville and Caputo fractional derivatives of various orders is considered. Illustrative examples of method’s application in programming environment of system “Mathematica®” are given

Keywords


fractional calculus; approximation and processing of signals; operational calculus; S-transform; dynamic system; fractional Caputo derivative; integral of Riemann-Liouville

References


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