The quaternion LMS algorithm for adaptive filtering of hypercomplex processes
IEEE Transactions on Signal Processing
Adaptive IIR filtering of noncircular complex signals
IEEE Transactions on Signal Processing
Complex valued recurrent neural networks for noncircular complex signals
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Split quaternion nonlinear adaptive filtering
Neural Networks
On widely linear Wiener and tradeoff filters for noise reduction
Speech Communication
Empirical mode decomposition for trivariate signals
IEEE Transactions on Signal Processing
Augmented second-order statistics of quaternion random signals
Signal Processing
A quaternion widely linear adaptive filter
IEEE Transactions on Signal Processing
Complex blind source extraction from noisy mixtures using second-order statistics
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Quaternion-valued stochastic gradient-based adaptive IIR filtering
IEEE Transactions on Signal Processing
The complex Gaussian kernel LMS algorithm
ICANN'10 Proceedings of the 20th international conference on Artificial neural networks: Part II
Periodic activation function and a modified learning algorithm for the multivalued neuron
IEEE Transactions on Neural Networks
Multivariate empirical mode decomposition for quantifying multivariate phase synchronization
EURASIP Journal on Advances in Signal Processing - Special issue on recent advances in theory and methods for nonstationary signal analysis
Single layer complex valued neural network with entropic cost function
ICANN'11 Proceedings of the 21th international conference on Artificial neural networks - Volume Part I
An adaptive approach for the identification of improper complex signals
Signal Processing
Widely linear processing of hypercomplex signals
ICONIP'11 Proceedings of the 18th international conference on Neural Information Processing - Volume Part I
Widely linear prediction for transfer function models based on the infinite past
Computational Statistics & Data Analysis
A class of quaternion valued affine projection algorithms
Signal Processing
Estimating instantaneous cache hit ratio using Markov chain analysis
IEEE/ACM Transactions on Networking (TON)
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This book was written in response to the growing demand for a text that provides a unified treatment of linear and nonlinear complex valued adaptive filters, and methods for the processing of general complex signals (circular and noncircular). It brings together adaptive filtering algorithms for feedforward (transversal) and feedback architectures and the recent developments in the statistics of complex variable, under the powerful frameworks of CR (Wirtinger) calculus and augmented complex statistics. This offers a number of theoretical performance gains, which is illustrated on both stochastic gradient algorithms, such as the augmented complex least mean square (ACLMS), and those based on Kalman filters. This work is supported by a number of simulations using synthetic and real world data, including the noncircular and intermittent radar and wind signals.