Modeling of widely-linear quaternion valued systems using hypercomplex algorithms
The data-driven optimal modeling and identification of widely-linear quaternion-valued synthetic systems is achieved by using a quaternion-valued gradient based algorithms. To account rigorously for the second-order statistics of the quaternion system, the quaternion least mean square (QLMS) and wid...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/69330/ http://psasir.upm.edu.my/id/eprint/69330/1/Modeling%20of%20widely-linear%20quaternion%20valued%20systems%20using%20hypercomplex%20algorithms.pdf |
| _version_ | 1848856376460181504 |
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| author | Mohammed, Haydar Imad Hashim, Fazirulhisyam Che Ujang, Che Ahmad Bukhari |
| author_facet | Mohammed, Haydar Imad Hashim, Fazirulhisyam Che Ujang, Che Ahmad Bukhari |
| author_sort | Mohammed, Haydar Imad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The data-driven optimal modeling and identification of widely-linear quaternion-valued synthetic systems is achieved by using a quaternion-valued gradient based algorithms. To account rigorously for the second-order statistics of the quaternion system, the quaternion least mean square (QLMS) and widely linear quaternion least mean square (WL-QLMS) were selected. The QLMS is shown to successfully model the quaternion-valued systems and the WL-QLMS is able to model both quaternion and widely-linear quaternion valued systems taking into account the full second-order statistics of the system. Analysis has proven that both algorithms are able to adapt to non-stationary nature of the systems. This approach is supported by simulations of various synthetic systems. |
| first_indexed | 2025-11-15T11:40:40Z |
| format | Conference or Workshop Item |
| id | upm-69330 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:40:40Z |
| publishDate | 2015 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-693302019-07-02T07:59:22Z http://psasir.upm.edu.my/id/eprint/69330/ Modeling of widely-linear quaternion valued systems using hypercomplex algorithms Mohammed, Haydar Imad Hashim, Fazirulhisyam Che Ujang, Che Ahmad Bukhari The data-driven optimal modeling and identification of widely-linear quaternion-valued synthetic systems is achieved by using a quaternion-valued gradient based algorithms. To account rigorously for the second-order statistics of the quaternion system, the quaternion least mean square (QLMS) and widely linear quaternion least mean square (WL-QLMS) were selected. The QLMS is shown to successfully model the quaternion-valued systems and the WL-QLMS is able to model both quaternion and widely-linear quaternion valued systems taking into account the full second-order statistics of the system. Analysis has proven that both algorithms are able to adapt to non-stationary nature of the systems. This approach is supported by simulations of various synthetic systems. IEEE 2015 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/69330/1/Modeling%20of%20widely-linear%20quaternion%20valued%20systems%20using%20hypercomplex%20algorithms.pdf Mohammed, Haydar Imad and Hashim, Fazirulhisyam and Che Ujang, Che Ahmad Bukhari (2015) Modeling of widely-linear quaternion valued systems using hypercomplex algorithms. In: 10th Asian Control Conference (ASCC 2015), 31 May-3 June 2015, Kota Kinabalu, Sabah. . 10.1109/ASCC.2015.7244595 |
| spellingShingle | Mohammed, Haydar Imad Hashim, Fazirulhisyam Che Ujang, Che Ahmad Bukhari Modeling of widely-linear quaternion valued systems using hypercomplex algorithms |
| title | Modeling of widely-linear quaternion valued systems using hypercomplex algorithms |
| title_full | Modeling of widely-linear quaternion valued systems using hypercomplex algorithms |
| title_fullStr | Modeling of widely-linear quaternion valued systems using hypercomplex algorithms |
| title_full_unstemmed | Modeling of widely-linear quaternion valued systems using hypercomplex algorithms |
| title_short | Modeling of widely-linear quaternion valued systems using hypercomplex algorithms |
| title_sort | modeling of widely-linear quaternion valued systems using hypercomplex algorithms |
| url | http://psasir.upm.edu.my/id/eprint/69330/ http://psasir.upm.edu.my/id/eprint/69330/ http://psasir.upm.edu.my/id/eprint/69330/1/Modeling%20of%20widely-linear%20quaternion%20valued%20systems%20using%20hypercomplex%20algorithms.pdf |