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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| Language: | English English English |
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American Institute of Mathematical Sciences
2019
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| Online Access: | 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 http://irep.iium.edu.my/72982/18/72982_FREQUENCY%20INTERVAL%20MODEL%20REDUCTION_wos.pdf |
| _version_ | 1848787717861670912 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T17:29:22Z |
| format | Article |
| id | iium-72982 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T17:29:22Z |
| publishDate | 2019 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-729822020-07-20T03:40:51Z 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 application/pdf en http://irep.iium.edu.my/72982/18/72982_FREQUENCY%20INTERVAL%20MODEL%20REDUCTION_wos.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 |
| 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 |
| title | 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_short | Frequency interval model reduction of complex FIR digital filters |
| title_sort | frequency interval model reduction of complex fir digital filters |
| topic | QA297 Numerical Analysis |
| 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 http://irep.iium.edu.my/72982/18/72982_FREQUENCY%20INTERVAL%20MODEL%20REDUCTION_wos.pdf |