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Augmented second-order statistics of quaternion random signals

Cheong Took, C and Mandic, DP (2011) Augmented second-order statistics of quaternion random signals Signal Processing, 91 (2). pp. 214-224.

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Second order statistics of quaternion random variables and signals are revisited in order to exploit the complete second order statistical information available. The conditions for Qproper (second order circular) random processes are presented, and to cater for the non-vanishing pseudocovariance of such processes, the use of κcovariances is investigated. Next, the augmented statistics and the corresponding widely linear model are introduced, and a generic multivariate Gaussian distribution is subsequently derived for both Qproper and Qimproper processes. The maximum entropy bound and an extension of mutual information to multivariate processes are derived in order to provide a complete description of joint information theoretic properties of general quaternion valued processes. A comparative analysis with the corresponding second order statistics of quadrivariate real valued processes supports the approach. © 2010 Elsevier B.V. All rights reserved.

Item Type: Article
Divisions : Surrey research (other units)
Authors : Cheong Took, C and Mandic, DP
Date : February 2011
DOI : 10.1016/j.sigpro.2010.06.024
Depositing User : Symplectic Elements
Date Deposited : 28 Mar 2017 14:12
Last Modified : 24 Jan 2020 11:53

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