Realization of multidimensional systems in Fornasini-Marchesini state-space model
Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a real...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Cheng, Hua [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2010 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC 2010 |
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| Übergeordnetes Werk: |
Enthalten in: Multidimensional systems and signal processing - Springer US, 1990, 22(2010), 4 vom: 09. Sept., Seite 319-333 |
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| Übergeordnetes Werk: |
volume:22 ; year:2010 ; number:4 ; day:09 ; month:09 ; pages:319-333 |
| Links: |
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| DOI / URN: |
10.1007/s11045-010-0136-x |
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| 520 | |a Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a realization with unnecessarily high order even for a simple rational transfer function, and, by taking into account of the structural characteristic of the given transfer function or transfer matrix, it is possible to construct a realization with much lower order. Nontrivial examples are given to illustrate the basic idea as well as the effectiveness of the proposed approach. | ||
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10.1007/s11045-010-0136-x doi (DE-627)OLC204810570X (DE-He213)s11045-010-0136-x-p DE-627 ger DE-627 rakwb eng 510 VZ Cheng, Hua verfasserin aut Realization of multidimensional systems in Fornasini-Marchesini state-space model 2010 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2010 Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a realization with unnecessarily high order even for a simple rational transfer function, and, by taking into account of the structural characteristic of the given transfer function or transfer matrix, it is possible to construct a realization with much lower order. Nontrivial examples are given to illustrate the basic idea as well as the effectiveness of the proposed approach. Fornasini-Marchesini state-space model -D systems -D digital filters State-space realization Saito, Tatsuya aut Matsushita, Shin-ya aut Xu, Li aut Enthalten in Multidimensional systems and signal processing Springer US, 1990 22(2010), 4 vom: 09. Sept., Seite 319-333 (DE-627)130892076 (DE-600)1041098-3 (DE-576)038686074 0923-6082 nnns volume:22 year:2010 number:4 day:09 month:09 pages:319-333 https://doi.org/10.1007/s11045-010-0136-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 22 2010 4 09 09 319-333 |
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10.1007/s11045-010-0136-x doi (DE-627)OLC204810570X (DE-He213)s11045-010-0136-x-p DE-627 ger DE-627 rakwb eng 510 VZ Cheng, Hua verfasserin aut Realization of multidimensional systems in Fornasini-Marchesini state-space model 2010 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2010 Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a realization with unnecessarily high order even for a simple rational transfer function, and, by taking into account of the structural characteristic of the given transfer function or transfer matrix, it is possible to construct a realization with much lower order. Nontrivial examples are given to illustrate the basic idea as well as the effectiveness of the proposed approach. Fornasini-Marchesini state-space model -D systems -D digital filters State-space realization Saito, Tatsuya aut Matsushita, Shin-ya aut Xu, Li aut Enthalten in Multidimensional systems and signal processing Springer US, 1990 22(2010), 4 vom: 09. Sept., Seite 319-333 (DE-627)130892076 (DE-600)1041098-3 (DE-576)038686074 0923-6082 nnns volume:22 year:2010 number:4 day:09 month:09 pages:319-333 https://doi.org/10.1007/s11045-010-0136-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 22 2010 4 09 09 319-333 |
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10.1007/s11045-010-0136-x doi (DE-627)OLC204810570X (DE-He213)s11045-010-0136-x-p DE-627 ger DE-627 rakwb eng 510 VZ Cheng, Hua verfasserin aut Realization of multidimensional systems in Fornasini-Marchesini state-space model 2010 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2010 Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a realization with unnecessarily high order even for a simple rational transfer function, and, by taking into account of the structural characteristic of the given transfer function or transfer matrix, it is possible to construct a realization with much lower order. Nontrivial examples are given to illustrate the basic idea as well as the effectiveness of the proposed approach. Fornasini-Marchesini state-space model -D systems -D digital filters State-space realization Saito, Tatsuya aut Matsushita, Shin-ya aut Xu, Li aut Enthalten in Multidimensional systems and signal processing Springer US, 1990 22(2010), 4 vom: 09. Sept., Seite 319-333 (DE-627)130892076 (DE-600)1041098-3 (DE-576)038686074 0923-6082 nnns volume:22 year:2010 number:4 day:09 month:09 pages:319-333 https://doi.org/10.1007/s11045-010-0136-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 22 2010 4 09 09 319-333 |
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10.1007/s11045-010-0136-x doi (DE-627)OLC204810570X (DE-He213)s11045-010-0136-x-p DE-627 ger DE-627 rakwb eng 510 VZ Cheng, Hua verfasserin aut Realization of multidimensional systems in Fornasini-Marchesini state-space model 2010 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2010 Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a realization with unnecessarily high order even for a simple rational transfer function, and, by taking into account of the structural characteristic of the given transfer function or transfer matrix, it is possible to construct a realization with much lower order. Nontrivial examples are given to illustrate the basic idea as well as the effectiveness of the proposed approach. Fornasini-Marchesini state-space model -D systems -D digital filters State-space realization Saito, Tatsuya aut Matsushita, Shin-ya aut Xu, Li aut Enthalten in Multidimensional systems and signal processing Springer US, 1990 22(2010), 4 vom: 09. Sept., Seite 319-333 (DE-627)130892076 (DE-600)1041098-3 (DE-576)038686074 0923-6082 nnns volume:22 year:2010 number:4 day:09 month:09 pages:319-333 https://doi.org/10.1007/s11045-010-0136-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 22 2010 4 09 09 319-333 |
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10.1007/s11045-010-0136-x doi (DE-627)OLC204810570X (DE-He213)s11045-010-0136-x-p DE-627 ger DE-627 rakwb eng 510 VZ Cheng, Hua verfasserin aut Realization of multidimensional systems in Fornasini-Marchesini state-space model 2010 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2010 Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a realization with unnecessarily high order even for a simple rational transfer function, and, by taking into account of the structural characteristic of the given transfer function or transfer matrix, it is possible to construct a realization with much lower order. Nontrivial examples are given to illustrate the basic idea as well as the effectiveness of the proposed approach. Fornasini-Marchesini state-space model -D systems -D digital filters State-space realization Saito, Tatsuya aut Matsushita, Shin-ya aut Xu, Li aut Enthalten in Multidimensional systems and signal processing Springer US, 1990 22(2010), 4 vom: 09. Sept., Seite 319-333 (DE-627)130892076 (DE-600)1041098-3 (DE-576)038686074 0923-6082 nnns volume:22 year:2010 number:4 day:09 month:09 pages:319-333 https://doi.org/10.1007/s11045-010-0136-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 22 2010 4 09 09 319-333 |
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Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a realization with unnecessarily high order even for a simple rational transfer function, and, by taking into account of the structural characteristic of the given transfer function or transfer matrix, it is possible to construct a realization with much lower order. Nontrivial examples are given to illustrate the basic idea as well as the effectiveness of the proposed approach. © Springer Science+Business Media, LLC 2010 |
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Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a realization with unnecessarily high order even for a simple rational transfer function, and, by taking into account of the structural characteristic of the given transfer function or transfer matrix, it is possible to construct a realization with much lower order. Nontrivial examples are given to illustrate the basic idea as well as the effectiveness of the proposed approach. © Springer Science+Business Media, LLC 2010 |
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Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a realization with unnecessarily high order even for a simple rational transfer function, and, by taking into account of the structural characteristic of the given transfer function or transfer matrix, it is possible to construct a realization with much lower order. Nontrivial examples are given to illustrate the basic idea as well as the effectiveness of the proposed approach. © Springer Science+Business Media, LLC 2010 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC204810570X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503194535.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2010 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11045-010-0136-x</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC204810570X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11045-010-0136-x-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cheng, Hua</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Realization of multidimensional systems in Fornasini-Marchesini state-space model</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2010</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC 2010</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper presents a constructive procedure that can generate a Fornasini-Marchesini (local) state-space model realization for a given n-D system with lower order than the existing procedure given by Alpay and Dubi. It is clarified that the method of Alpay and Dubi usually generates a realization with unnecessarily high order even for a simple rational transfer function, and, by taking into account of the structural characteristic of the given transfer function or transfer matrix, it is possible to construct a realization with much lower order. Nontrivial examples are given to illustrate the basic idea as well as the effectiveness of the proposed approach.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fornasini-Marchesini state-space model</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-D systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-D digital filters</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">State-space realization</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Saito, Tatsuya</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Matsushita, Shin-ya</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Xu, Li</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Multidimensional systems and signal processing</subfield><subfield code="d">Springer US, 1990</subfield><subfield code="g">22(2010), 4 vom: 09. Sept., Seite 319-333</subfield><subfield code="w">(DE-627)130892076</subfield><subfield code="w">(DE-600)1041098-3</subfield><subfield code="w">(DE-576)038686074</subfield><subfield code="x">0923-6082</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:22</subfield><subfield code="g">year:2010</subfield><subfield code="g">number:4</subfield><subfield code="g">day:09</subfield><subfield code="g">month:09</subfield><subfield code="g">pages:319-333</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11045-010-0136-x</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">22</subfield><subfield code="j">2010</subfield><subfield code="e">4</subfield><subfield code="b">09</subfield><subfield code="c">09</subfield><subfield code="h">319-333</subfield></datafield></record></collection>
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