A general discretization scheme for the design of IIR fractional filters

Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Jesus, Isabel S.

http://hdl.handle.net/10400.22/10102

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Authors

Barbosa, Ramiro S.

Machado, J. A. Tenreiro

Jesus, Isabel S.

Abstract(s)

In this paper we present a general discretization scheme for digital fractional-order integrators and differentiators. The proposed scheme yields many of the widely classical s --> z conversion formulas. A least-squares method for the design of IIR fractional filters is proposed. The design of the recursive digital filter only requires the solution of linear equations. an illustrative example is presented showing the effectiveness of the resulting approximations.