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Novel quaternion matrix factorisations

Enshaeifar, S, Took, CC, Sanei, S and Mandic, DP (2016) Novel quaternion matrix factorisations In: 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2016-03-20-2016-03-25, Shanghai, China.

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Abstract

The recent introduction of η-Hermitian matrices A = AηH has opened a new avenue of research in quaternion signal processing. However, the exploitation of this matrix structure has been limited, perhaps due to the lack of joint diagonalisation methodologies of these matrices. As such, we propose novel decompositions of η- Hermitian matrices to address this shortcoming in the literature. As an application, we consider a blind source separation problem in the form of an Alamouti-based communication system. Simulation studies demonstrate the effectiveness of our proposed joint diagonalisation technique and indicate that our approach is particularly useful when the sources are correlated.

Item Type: Conference or Workshop Item (Conference Paper)
Subjects : Computer Science
Authors :
NameEmailORCID
Enshaeifar, SUNSPECIFIEDUNSPECIFIED
Took, CCUNSPECIFIEDUNSPECIFIED
Sanei, SUNSPECIFIEDUNSPECIFIED
Mandic, DPUNSPECIFIEDUNSPECIFIED
Date : 2016
Copyright Disclaimer : © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Uncontrolled Keywords : Hermitian matrices, blind source separation, matrix decomposition, η-Hermitian matrices, Alamouti-based communication system, blind source separation problem, joint diagonalisation technique, matrix structure, quaternion matrix factorisations, quaternion signal processing, Blind source separation, Covariance matrices, Matrix decomposition, Quaternions, Standards, Transforms, Joint diagonalisation, quaternion domain, uncorrelating transform
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 01 Mar 2017 18:21
Last Modified : 01 Mar 2017 18:21
URI: http://epubs.surrey.ac.uk/id/eprint/813464

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