Direct estimation of ARMA model orders using output cumulants
In this paper, the problem of order estimation of ARMA models is treated using third order cumulants of the observed system output only. It is shown that the rank conditions of certain third order cumulants matrices are directly related to the model orders (p, q). These matrices go from being of ful...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
1996
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://eprints.kfupm.edu.sa/id/eprint/14185/1/14185_1.pdf https://eprints.kfupm.edu.sa/id/eprint/14185/2/14185_2.doc |
| الوسوم: |
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| _version_ | 1864513393392615424 |
|---|---|
| author | Emara-Shabaik, O.E. |
| author2 | unknown |
| author2_role | author |
| author_facet | Emara-Shabaik, O.E. unknown |
| author_role | author |
| dc.creator.none.fl_str_mv | Emara-Shabaik, O.E. unknown |
| dc.date.none.fl_str_mv | 1996-09 2020 |
| dc.format.none.fl_str_mv | application/pdf application/msword |
| dc.identifier.none.fl_str_mv | https://eprints.kfupm.edu.sa/id/eprint/14185/1/14185_1.pdf https://eprints.kfupm.edu.sa/id/eprint/14185/2/14185_2.doc (1996) Direct estimation of ARMA model orders using output cumulants. Control '96, UKACC International conference (Conf. Publ. No. 427), 1. |
| dc.language.none.fl_str_mv | en en |
| dc.publisher.none.fl_str_mv | IEEE |
| dc.relation.none.fl_str_mv | https://eprints.kfupm.edu.sa/id/eprint/14185/ |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Computer |
| dc.title.none.fl_str_mv | Direct estimation of ARMA model orders using output cumulants |
| dc.type.none.fl_str_mv | Article PeerReviewed info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this paper, the problem of order estimation of ARMA models is treated using third order cumulants of the observed system output only. It is shown that the rank conditions of certain third order cumulants matrices are directly related to the model orders (p, q). These matrices go from being of full rank to being rank deficient as some of their indices cross the correct model orders. This transition in the rank condition is effectively used to estimate the model orders. This method of order estimation does not relay on the knowledge of the model parameters values which is required in many published methods of order estimation. Moreover, the developed technique is immune against contaminating observations noise effects which usually result in over estimation of model orders. Several numerical examples are provided. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | KFUPM_fdd65b83923db4c43d8ff86624ab27e6 |
| identifier_str_mv | (1996) Direct estimation of ARMA model orders using output cumulants. Control '96, UKACC International conference (Conf. Publ. No. 427), 1. |
| language_invalid_str_mv | en |
| network_acronym_str | KFUPM |
| network_name_str | King Fahd University of Petroleum and Minerals |
| oai_identifier_str | oai::14185 |
| publishDate | 1996 |
| publisher.none.fl_str_mv | IEEE |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Direct estimation of ARMA model orders using output cumulantsEmara-Shabaik, O.E.unknownComputerIn this paper, the problem of order estimation of ARMA models is treated using third order cumulants of the observed system output only. It is shown that the rank conditions of certain third order cumulants matrices are directly related to the model orders (p, q). These matrices go from being of full rank to being rank deficient as some of their indices cross the correct model orders. This transition in the rank condition is effectively used to estimate the model orders. This method of order estimation does not relay on the knowledge of the model parameters values which is required in many published methods of order estimation. Moreover, the developed technique is immune against contaminating observations noise effects which usually result in over estimation of model orders. Several numerical examples are provided.IEEE1996-092020ArticlePeerReviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfapplication/mswordhttps://eprints.kfupm.edu.sa/id/eprint/14185/1/14185_1.pdfhttps://eprints.kfupm.edu.sa/id/eprint/14185/2/14185_2.doc (1996) Direct estimation of ARMA model orders using output cumulants. Control '96, UKACC International conference (Conf. Publ. No. 427), 1. enenhttps://eprints.kfupm.edu.sa/id/eprint/14185/info:eu-repo/semantics/openAccessoai::141852019-11-01T14:04:38Z |
| spellingShingle | Direct estimation of ARMA model orders using output cumulants Emara-Shabaik, O.E. Computer |
| status_str | publishedVersion |
| title | Direct estimation of ARMA model orders using output cumulants |
| title_full | Direct estimation of ARMA model orders using output cumulants |
| title_fullStr | Direct estimation of ARMA model orders using output cumulants |
| title_full_unstemmed | Direct estimation of ARMA model orders using output cumulants |
| title_short | Direct estimation of ARMA model orders using output cumulants |
| title_sort | Direct estimation of ARMA model orders using output cumulants |
| topic | Computer |
| url | https://eprints.kfupm.edu.sa/id/eprint/14185/1/14185_1.pdf https://eprints.kfupm.edu.sa/id/eprint/14185/2/14185_2.doc |