DSpace UNL

RUN >
Faculdade de Ciências e Tecnologia (FCT) >
FCT Departamentos >
FCT: Departamento de Engenharia Electrotécnica >
FCT: DEE - Artigos em revista internacional com arbitragem científica >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10362/2587

Título: A new least-squares approach to differintegration modeling
Autor: Ortigueira, M.D.
Serralheiro, António J.
Palavras-chave: Discrete-time fractional differintegrator
Pseudo-fractional ARMA
Gru¨ nwald–Letnikov derivative
Tustin bilinear transformation
Issue Date: Oct-2006
Editora: Elsevier B.V.
Resumo: In this paper a new least-squares (LS) approach is used to model the discrete-time fractional differintegrator. This approach is based on a mismatch error between the required response and the one obtained by the difference equation defining the auto-regressive, moving-average (ARMA) model. In minimizing the error power we obtain a set of suitable normal equations that allow us to obtain the ARMA parameters. This new LS is then applied to the same examples as in [R.S. Barbosa, J.A. Tenreiro Machado, I.M. Ferreira, Least-squares design of digital fractional-order operators, FDA’2004 First IFAC Workshop on Fractional Differentiation and Its Applications, Bordeaux, France, July 19–21, 2004, P. Ostalczyk, Fundamental properties of the fractional-order discrete-time integrator, Signal Processing 83 (2003) 2367–2376] so performance comparisons can be drawn. Simulation results show that both magnitude frequency responses are essentially identical. Concerning the modeling stability, both algorithms present similar limitations, although for different ARMA model orders.
Descrição: Signal Processing, Vol. 86, nº 10
URI: http://hdl.handle.net/10362/2587
ISSN: 0165-1684
Appears in Collections:FCT: DEE - Artigos em revista internacional com arbitragem científica

Files in This Item:

File Description SizeFormat
Ortigueira_2006.pdf688,58 kBAdobe PDFView/Open
Statistics
FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpaceOrkut
Formato BibTex mendeley Endnote Logotipo do DeGóis 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Universidade Nova de Lisboa  - Feedback
Estamos no RCAAP Governo Português separator Ministério da Educação e Ciência   Fundação para a Ciência e a Tecnologia

Financiado por:

POS_C UE