Fractional discrete-time linear systems

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....

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Bibliographic Details
Main Author: Ortigueira, M.D.
Format: Conference Proceeding
Language:English
Subjects:
1f noise
Applied sciences
Convolution
Delay effects
Detection, estimation, filtering, equalization, prediction
Difference equations
Exact sciences and technology
Fractals
Frequency response
Hydrology
IIR filters
Information, signal and communications theory
Linear systems
Signal and communications theory
Signal, noise
Telecommunications and information theory
Transfer functions
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Summary: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.
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.1997.599497