Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing Approach

A novel algorithm is developed based on fractional signal processing approach for parameter estimation of input nonlinear control autoregressive (INCAR) models. The design scheme consists of parameterization of INCAR systems to obtain linear-in-parameter models and to use fractional least mean squar...

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Main Authors: Naveed Ishtiaq Chaudhary, Muhammad Asif Zahoor Raja, Junaid Ali Khan, Muhammad Saeed Aslam
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/467276
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author Naveed Ishtiaq Chaudhary
Muhammad Asif Zahoor Raja
Junaid Ali Khan
Muhammad Saeed Aslam
author_facet Naveed Ishtiaq Chaudhary
Muhammad Asif Zahoor Raja
Junaid Ali Khan
Muhammad Saeed Aslam
author_sort Naveed Ishtiaq Chaudhary
collection DOAJ
description A novel algorithm is developed based on fractional signal processing approach for parameter estimation of input nonlinear control autoregressive (INCAR) models. The design scheme consists of parameterization of INCAR systems to obtain linear-in-parameter models and to use fractional least mean square algorithm (FLMS) for adaptation of unknown parameter vectors. The performance analyses of the proposed scheme are carried out with third-order Volterra least mean square (VLMS) and kernel least mean square (KLMS) algorithms based on convergence to the true values of INCAR systems. It is found that the proposed FLMS algorithm provides most accurate and convergent results than those of VLMS and KLMS under different scenarios and by taking the low-to-high signal-to-noise ratio.
format Article
id doaj-art-e74d88ff1abf48f6b1f0b43f7dd58357
institution Kabale University
issn 1537-744X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-e74d88ff1abf48f6b1f0b43f7dd583572025-02-03T01:31:16ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/467276467276Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing ApproachNaveed Ishtiaq Chaudhary0Muhammad Asif Zahoor Raja1Junaid Ali Khan2Muhammad Saeed Aslam3Department of Electronic Engineering, International Islamic University, Islamabad 44000, PakistanDepartment of Electrical Engineering, COMSATS Institute of Information Technology, Attock Campus, Attock 43600, PakistanDepartment of Electrical Engineering, COMSATS Institute of Information Technology, Attock Campus, Attock 43600, PakistanPakistan Institute of Engineering and Applied Sciences, Nilore, Islamabad 45650, PakistanA novel algorithm is developed based on fractional signal processing approach for parameter estimation of input nonlinear control autoregressive (INCAR) models. The design scheme consists of parameterization of INCAR systems to obtain linear-in-parameter models and to use fractional least mean square algorithm (FLMS) for adaptation of unknown parameter vectors. The performance analyses of the proposed scheme are carried out with third-order Volterra least mean square (VLMS) and kernel least mean square (KLMS) algorithms based on convergence to the true values of INCAR systems. It is found that the proposed FLMS algorithm provides most accurate and convergent results than those of VLMS and KLMS under different scenarios and by taking the low-to-high signal-to-noise ratio.http://dx.doi.org/10.1155/2013/467276
spellingShingle Naveed Ishtiaq Chaudhary
Muhammad Asif Zahoor Raja
Junaid Ali Khan
Muhammad Saeed Aslam
Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing Approach
The Scientific World Journal
title Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing Approach
title_full Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing Approach
title_fullStr Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing Approach
title_full_unstemmed Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing Approach
title_short Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing Approach
title_sort identification of input nonlinear control autoregressive systems using fractional signal processing approach
url http://dx.doi.org/10.1155/2013/467276
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