Fractional discrete-time linear systems

Author

Ortigueira, Manuel Duarte

Author_Institution

INESC, Lisbon, Portugal

Volume

3

fYear

1997

fDate

21-24 Apr 1997

Firstpage

2241

Abstract

In this paper, the class of discrete linear systems is enlarged with the inclusion of the discrete-time fractional linear systems. These are systems described by fractional difference equations and fractional frequency responses. It is shown how to compute the impulse response and transfer function. The theory is supported by the Cauchy integrals that perform projections of the frequency response into or outside the unit circle. The presented formalism is similar to that usually followed

Keywords

difference equations; digital filters; discrete time filters; frequency response; integral equations; linear systems; transient response; Cauchy integrals; discrete linear systems; discrete-time fractional linear systems; fractional difference equations; fractional discrete-time linear systems; fractional frequency responses; frequency response; impulse response; projection; transfer function; unit circle; 1f noise; Convolution; Delay effects; Difference equations; Fractals; Frequency response; Hydrology; IIR filters; Linear systems; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on

Conference_Location

Munich

ISSN

1520-6149

Print_ISBN

0-8186-7919-0

Type

conf

DOI

10.1109/ICASSP.1997.599497

Filename

599497