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Modeling of widely-linear quaternion valued systems using hypercomplex algorithms


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. .


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.

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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Engineering
DOI Number: https://doi.org/10.1109/ASCC.2015.7244595
Publisher: IEEE
Keywords: Quaternion least mean square (QLMS); Quaternion second-order statistics; Non-stationary systems; System modeling; Widely linear model
Depositing User: Nabilah Mustapa
Date Deposited: 02 Jul 2019 07:59
Last Modified: 02 Jul 2019 07:59
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/ASCC.2015.7244595
URI: http://psasir.upm.edu.my/id/eprint/69330
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