Approximate Realization of Fractional-Order 2-D IIR Frequency-Planar Filters

Autor:	Arjuna Madanayake, Jay L. Adams, Len T. Bruton
Rok vydání:	2013
Předmět:	Discrete system Integer Band-pass filter Control theory 2D Filters Electrical and Electronic Engineering BIBO stability Topology Realization (systems) Transfer function Infinite impulse response Mathematics
Zdroj:	IEEE Journal on Emerging and Selected Topics in Circuits and Systems. 3:338-345
ISSN:	2156-3365 2156-3357
DOI:	10.1109/jetcas.2013.2265799
Popis:	Starting with the established concepts of multi-dimensional network resonance, practical-bounded-input-bounded-output (BIBO) stability of multi-dimensional discrete systems, and the integer order approximation of fractional order filters, a new method for the realization of integer-order approximations of 2-D fractional-order systems having frequency-planar beam shaped passbands is proposed. The method results in 2-D infinite impulse response (IIR) filters having nonseparable denominators in their transfer-functions while having guaranteed practical-BIBO stability for zero initial conditions in the corresponding discrete system. The resulting integer-order filters are shown to approximate 2-D fractional order frequency-planar beam shapes in both magnitude and phase leading to a new theoretical tool for use in the emerging area of multi-dimensional fractional-order circuits and systems. Although examples are provided for frequency-planar filters in two dimensions, the proposed methods are equally applicable to other types of transfer-functions having prototypes based on resistively-terminated passive networks defined over any integer number of dimensions.
Databáze:	OpenAIRE
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