Canonical State-Space Realization of 3-D Separable Denominator Discrete Systems
In this paper, the state-space realization of 3-D discrete systems having transfer functions with separable denominators is considered. The proposed state-space model has a canonical form and can be derived directly from the transfer function coefficients. Using the fact that the denominator is sepa...
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| Format: | Article |
| Language: | English |
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IEEE
2025-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/11037409/ |
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| author | Apostolos Kanellakis Ayman Tawfik Panajotis Agathoklis |
| author_facet | Apostolos Kanellakis Ayman Tawfik Panajotis Agathoklis |
| author_sort | Apostolos Kanellakis |
| collection | DOAJ |
| description | In this paper, the state-space realization of 3-D discrete systems having transfer functions with separable denominators is considered. The proposed state-space model has a canonical form and can be derived directly from the transfer function coefficients. Using the fact that the denominator is separable, the dimensionality of the proposed model is lower than that in the non-separable case. In addition, block diagrams for the transfer function are proposed. The proposed realization is useful for the implementation of these systems. Three examples are presented to illustrate the results of the paper. |
| format | Article |
| id | doaj-art-a7bd973c20ec47ab832dad4204f4a8f2 |
| institution | Matheson Library |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-a7bd973c20ec47ab832dad4204f4a8f22025-06-24T23:00:44ZengIEEEIEEE Access2169-35362025-01-011310488810489810.1109/ACCESS.2025.358016111037409Canonical State-Space Realization of 3-D Separable Denominator Discrete SystemsApostolos Kanellakis0https://orcid.org/0000-0001-8122-3924Ayman Tawfik1https://orcid.org/0000-0003-1438-6541Panajotis Agathoklis2https://orcid.org/0000-0002-2897-0549School of Electrical and Computer Engineering, National Technical University of Athens, Athens, GreeceDepartment of the Electrical and Computer Engineering, College of Engineering and Information Technology, Ajman University, Ajman, United Arab EmiratesDepartment of Electrical and Computer Engineering, University of Victoria, Victoria, BC, CanadaIn this paper, the state-space realization of 3-D discrete systems having transfer functions with separable denominators is considered. The proposed state-space model has a canonical form and can be derived directly from the transfer function coefficients. Using the fact that the denominator is separable, the dimensionality of the proposed model is lower than that in the non-separable case. In addition, block diagrams for the transfer function are proposed. The proposed realization is useful for the implementation of these systems. Three examples are presented to illustrate the results of the paper.https://ieeexplore.ieee.org/document/11037409/3-D discrete systemstransfer functionseparable denominatorstate-spacecanonical realization |
| spellingShingle | Apostolos Kanellakis Ayman Tawfik Panajotis Agathoklis Canonical State-Space Realization of 3-D Separable Denominator Discrete Systems IEEE Access 3-D discrete systems transfer function separable denominator state-space canonical realization |
| title | Canonical State-Space Realization of 3-D Separable Denominator Discrete Systems |
| title_full | Canonical State-Space Realization of 3-D Separable Denominator Discrete Systems |
| title_fullStr | Canonical State-Space Realization of 3-D Separable Denominator Discrete Systems |
| title_full_unstemmed | Canonical State-Space Realization of 3-D Separable Denominator Discrete Systems |
| title_short | Canonical State-Space Realization of 3-D Separable Denominator Discrete Systems |
| title_sort | canonical state space realization of 3 d separable denominator discrete systems |
| topic | 3-D discrete systems transfer function separable denominator state-space canonical realization |
| url | https://ieeexplore.ieee.org/document/11037409/ |
| work_keys_str_mv | AT apostoloskanellakis canonicalstatespacerealizationof3dseparabledenominatordiscretesystems AT aymantawfik canonicalstatespacerealizationof3dseparabledenominatordiscretesystems AT panajotisagathoklis canonicalstatespacerealizationof3dseparabledenominatordiscretesystems |