Frequency interval model reduction of complex FIR digital filters

In this paper, a model reduction method for FIR filters with complex coefficients based on frequency interval impulse response Gramians is developed. The advantage of the proposed method is that only one Lyapunov equation needs to be solved in order to obtain the information regarding the frequency...

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Main Authors:	Jazlan, Ahmad, Zulfiqar, Umair, Sreeram, Victoria, Kumar, Deepak, Togneri, Roberto, Mohd Zaki, Hasan Firdaus
Format:	Article
Language:	English English
Published:	American Institute of Mathematical Sciences 2019
Subjects:	QA297 Numerical Analysis
Online Access:	http://irep.iium.edu.my/72982/ http://irep.iium.edu.my/72982/ http://irep.iium.edu.my/72982/ http://irep.iium.edu.my/72982/7/72982%20FREQUENCY%20INTERVAL%20MODEL%20REDUCTION.pdf http://irep.iium.edu.my/72982/13/72982_FREQUENCY%20INTERVAL%20MODEL%20REDUCTION%20OF%20COMPLEX%20FIR%20DIGITAL%20FILTERS_Scopus.pdf

id	iium-72982
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spelling	iium-729822020-02-18T07:56:00Z http://irep.iium.edu.my/72982/ Frequency interval model reduction of complex FIR digital filters Jazlan, Ahmad Zulfiqar, Umair Sreeram, Victoria Kumar, Deepak Togneri, Roberto Mohd Zaki, Hasan Firdaus QA297 Numerical Analysis In this paper, a model reduction method for FIR filters with complex coefficients based on frequency interval impulse response Gramians is developed. The advantage of the proposed method is that only one Lyapunov equation needs to be solved in order to obtain the information regarding the frequency interval controllability and observability of the system. In addition this method overcomes the limitations of using cross Gramians which are not applicable for filters with complex coefficients. The effectiveness of the proposed method is demonstrated by a numerical example. American Institute of Mathematical Sciences 2019-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/72982/7/72982%20FREQUENCY%20INTERVAL%20MODEL%20REDUCTION.pdf application/pdf en http://irep.iium.edu.my/72982/13/72982_FREQUENCY%20INTERVAL%20MODEL%20REDUCTION%20OF%20COMPLEX%20FIR%20DIGITAL%20FILTERS_Scopus.pdf Jazlan, Ahmad and Zulfiqar, Umair and Sreeram, Victoria and Kumar, Deepak and Togneri, Roberto and Mohd Zaki, Hasan Firdaus (2019) Frequency interval model reduction of complex FIR digital filters. Numerical Algebra, Control & Optimization, 9 (3). pp. 319-329. ISSN 2155-3289 E-ISSN 2155-3297 https://www.aimsciences.org/article/doi/10.3934/naco.2019021 10.3934/naco.2019021
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA297 Numerical Analysis
spellingShingle	QA297 Numerical Analysis Jazlan, Ahmad Zulfiqar, Umair Sreeram, Victoria Kumar, Deepak Togneri, Roberto Mohd Zaki, Hasan Firdaus Frequency interval model reduction of complex FIR digital filters
description	In this paper, a model reduction method for FIR filters with complex coefficients based on frequency interval impulse response Gramians is developed. The advantage of the proposed method is that only one Lyapunov equation needs to be solved in order to obtain the information regarding the frequency interval controllability and observability of the system. In addition this method overcomes the limitations of using cross Gramians which are not applicable for filters with complex coefficients. The effectiveness of the proposed method is demonstrated by a numerical example.
format	Article
author	Jazlan, Ahmad Zulfiqar, Umair Sreeram, Victoria Kumar, Deepak Togneri, Roberto Mohd Zaki, Hasan Firdaus
author_facet	Jazlan, Ahmad Zulfiqar, Umair Sreeram, Victoria Kumar, Deepak Togneri, Roberto Mohd Zaki, Hasan Firdaus
author_sort	Jazlan, Ahmad
title	Frequency interval model reduction of complex FIR digital filters
title_short	Frequency interval model reduction of complex FIR digital filters
title_full	Frequency interval model reduction of complex FIR digital filters
title_fullStr	Frequency interval model reduction of complex FIR digital filters
title_full_unstemmed	Frequency interval model reduction of complex FIR digital filters
title_sort	frequency interval model reduction of complex fir digital filters
publisher	American Institute of Mathematical Sciences
publishDate	2019
url	http://irep.iium.edu.my/72982/ http://irep.iium.edu.my/72982/ http://irep.iium.edu.my/72982/ http://irep.iium.edu.my/72982/7/72982%20FREQUENCY%20INTERVAL%20MODEL%20REDUCTION.pdf http://irep.iium.edu.my/72982/13/72982_FREQUENCY%20INTERVAL%20MODEL%20REDUCTION%20OF%20COMPLEX%20FIR%20DIGITAL%20FILTERS_Scopus.pdf
first_indexed	2023-09-18T21:43:29Z
last_indexed	2023-09-18T21:43:29Z
_version_	1777413295556263936

Frequency interval model reduction of complex FIR digital filters

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