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A quaternion widely linear adaptive filter

Cheong Took, C and Mandic, DP (2010) A quaternion widely linear adaptive filter IEEE Transactions on Signal Processing, 58 (8). pp. 4427-4431.

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A quaternion widely linear (QWL) model for quaternion valued mean-square-error (MSE) estimation is proposed. The augmented statistics are first introduced into the field of quaternions, and it is demonstrated that this allows for capturing the complete second order statistics available. The QWL model is next incorporated into the quaternion least mean-square (QLMS) algorithm to yield the widely linear QLMS (WL-QLMS). This allows for a unified approach to adaptive filtering of both ℚ-proper and ℚ-improper signals, leading to improved accuracies compared to the QLMS class of algorithms. Simulations on both benchmark and real world data support the analysis. © 2010 IEEE.

Item Type: Article
Divisions : Surrey research (other units)
Authors : Cheong Took, C and Mandic, DP
Date : August 2010
DOI : 10.1109/TSP.2010.2048323
Depositing User : Symplectic Elements
Date Deposited : 28 Mar 2017 14:12
Last Modified : 24 Jan 2020 11:53

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