Recently, adaptive fltering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three dfferent quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvaluesof the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal.

Frequency domain quaternion adaptive filters: Algorithms and convergence performance / Ortolani, Francesca; Comminiello, Danilo; Scarpiniti, Michele; Uncini, Aurelio. - In: SIGNAL PROCESSING. - ISSN 0165-1684. - STAMPA. - 136:(2017), pp. 69-80. [10.1016/j.sigpro.2016.11.002]

Frequency domain quaternion adaptive filters: Algorithms and convergence performance

ORTOLANI, FRANCESCA;COMMINIELLO, DANILO;SCARPINITI, MICHELE;UNCINI, Aurelio
2017

Abstract

Recently, adaptive fltering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three dfferent quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvaluesof the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal.
2017
Adaptive Filters; Frequency Domain; Hypercomplex; Quaternion-Valued Adaptive Filtering; Quaternions
01 Pubblicazione su rivista::01a Articolo in rivista
Frequency domain quaternion adaptive filters: Algorithms and convergence performance / Ortolani, Francesca; Comminiello, Danilo; Scarpiniti, Michele; Uncini, Aurelio. - In: SIGNAL PROCESSING. - ISSN 0165-1684. - STAMPA. - 136:(2017), pp. 69-80. [10.1016/j.sigpro.2016.11.002]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/946740
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