Adaptive filtering can be expanded to new numerical systems and unseen sides of physical problems can be highlighted thanks to the mathematical properties of such hypercomplex algebras. Each algebra has its own rules and operation results may not be compatible from one algebra to another. However, such peculiarities diversify algebras in a way that each of them fits specific geometrical/physical problems. In this work we propose a quaternion widely linear adaptive algorithm operating in the frequency domain. The aim is to overcome the problem of high computational cost occurring when time-domain algorithms are used. An analysis of the cost is also supplied. Finally, simulations support our proposal.
Widely linear quaternion adaptive filtering in the frequency domain / Ortolani, Francesca; Uncini, Aurelio. - ELETTRONICO. - 2016-:(2016), pp. 299-302. (Intervento presentato al convegno 2016 IEEE International Conference on Mathematical Methods in Electromagnetic Theory, MMET 2016 tenutosi a Lviv; Ukraine nel 2016) [10.1109/MMET.2016.7544050].
Widely linear quaternion adaptive filtering in the frequency domain
ORTOLANI, FRANCESCA;UNCINI, Aurelio
2016
Abstract
Adaptive filtering can be expanded to new numerical systems and unseen sides of physical problems can be highlighted thanks to the mathematical properties of such hypercomplex algebras. Each algebra has its own rules and operation results may not be compatible from one algebra to another. However, such peculiarities diversify algebras in a way that each of them fits specific geometrical/physical problems. In this work we propose a quaternion widely linear adaptive algorithm operating in the frequency domain. The aim is to overcome the problem of high computational cost occurring when time-domain algorithms are used. An analysis of the cost is also supplied. Finally, simulations support our proposal.File | Dimensione | Formato | |
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