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Distributed Widely Linear Frequency Estimation in Unbalanced Three Phase Power Systems
Sithan Kanna, Dahir H. Dini, Yili Xia +2
A novel method for distributed estimation of the frequency of power systems is introduced based on the cooperation between multiple measurement nodes. The proposed distributed wide…
The Theory of Quaternion Matrix Derivatives
Dongpo Xu, Danilo P. Mandic
A systematic theory is introduced for calculating the derivatives of quaternion matrix function with respect to quaternion matrix variables. The proposed methodology is equipped wi…
Quaternion Derivatives: The GHR Calculus
Dongpo Xu, Cyrus Jahanchahi, Clive C. Took +1
Quaternion derivatives in the mathematical literature are typically defined only for analytic (regular) functions. However, in engineering problems, functions of interest are often…
Quaternion Gradient and Hessian
Dongpo Xu, Danilo P. Mandic
The optimization of real scalar functions of quaternion variables, such as the mean square error or array output power, underpins many practical applications. Solutions often requi…
Tensor Decompositions for Signal Processing Applications From Two-way to Multiway Component Analysis
A. Cichocki, D. Mandic, A-H. Phan +4
The widespread use of multi-sensor technology and the emergence of big datasets has highlighted the limitations of standard flat-view matrix models and the necessity to move toward…