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- Yili Xia, Danilo P. Mandic
- IEEE Trans. Instrumentation and Measurement
- 2012

A novel technique for online estimation of the fundamental frequency of unbalanced three-phase power systems is proposed. Based on Clarke’s transformation and widely linear complex domain modeling, the proposed method makes use of the full second-order information within three-phase signals, thus promising enhanced and robust frequency estimation. The… (More)

- Yili Xia, Beth Jelfs, Marc M. Van Hulle, José Carlos Príncipe, Danilo P. Mandic
- IEEE Transactions on Neural Networks
- 2011

A novel complex echo state network (ESN), utilizing full second-order statistical information in the complex domain, is introduced. This is achieved through the use of the so-called augmented complex statistics, thus making complex ESNs suitable for processing the generality of complex-valued signals, both second-order circular (proper) and noncircular… (More)

- Yili Xia, Scott C. Douglas, Danilo P. Mandic
- IEEE Signal Processing Magazine
- 2012

Accurate estimation of system frequency in real time is a prerequisite for the future smart grid, where the generation, loading, and topology will all be dynamically updated. In this article, we introduce a unified framework for the estimation of instantaneous frequency in both balanced and unbalanced conditions in a three-phase system, thus consolidating… (More)

- Naveed Ur Rehman, Yili Xia, Danilo P Mandic
- Conference proceedings : ... Annual International…
- 2010

We present a method for the analysis of electroencephalogram (EEG) signals which has the potential to distinguish between ictal and seizure-free intracranial EEG recordings. This is achieved by analyzing common frequency components in multichannel EEG recordings, using the multivariate empirical mode decomposition (MEMD) algorithm. The mean frequency of the… (More)

- Yili Xia, Cyrus Jahanchahi, Danilo P. Mandic
- IEEE Transactions on Neural Networks and Learning…
- 2015

Quaternion-valued echo state networks (QESNs) are introduced to cater for 3-D and 4-D processes, such as those observed in the context of renewable energy (3-D wind modeling) and human centered computing (3-D inertial body sensors). The introduction of QESNs is made possible by the recent emergence of quaternion nonlinear activation functions with local… (More)

- Yili Xia, Danilo P. Mandic, Ali H. Sayed
- IEEE Signal Processing Letters
- 2011

An adaptive diffusion augmented complex least mean square (D-ACLMS) algorithm for collaborative processing of the generality of complex signals over distributed networks is proposed. The algorithm enables the estimation of both second order circular (proper) and noncircular (improper) signals within a unified framework of augmented complex statistics. The… (More)

- Yili Xia, D.P. Mandic, M. Hulle, J.C. Principe
- 2008 IEEE Workshop on Machine Learning for Signal…
- 2008

The operation of echo state networks (ESNs) is extended to the complex domain, in order to perform nonlinear complex valued adaptive filtering of nonlinear and nonstationary signals. This is achieved by introducing a nonlinear output layer into an ESN, whereby full adaptivity is provided by introducing an adaptive amplitude into the nonlinear activation… (More)

- Yili Xia, Clive Cheong Took, Danilo P. Mandic
- Signal Processing
- 2010

An augmented affine projection adaptive filtering algorithm (AAPA), utilising the full second order statistical information in the complex domain is proposed. This is achieved based on the widely linear model and the joint optimisation of the direct and conjugate data channel parameters. The analysis illustrates that the use of augmented complex statistics… (More)

- Ling Li, Yili Xia, Beth Jelfs, Jianting Cao, Danilo P. Mandic
- Neurocomputing
- 2012

A novel method for the discrimination between discrete states of brain consciousness is proposed, achieved through examination of nonlinear features within the electroencephalogram (EEG). To allow for real time modes of operation, a collaborative adaptive filtering architecture, using a convex combination of adaptive filters is implemented. The evolution of… (More)

- Yili Xia, Cyrus Jahanchahi, Tohru Nitta, Danilo P. Mandic
- IEEE Transactions on Neural Networks and Learning…
- 2015

The quaternion widely linear (WL) estimator has been recently introduced for optimal second-order modeling of the generality of quaternion data, both second-order circular (proper) and second-order noncircular (improper). Experimental evidence exists of its performance advantage over the conventional strictly linear (SL) as well as the semi-WL (SWL)… (More)