Theory and design of adaptive filters
Theory and design of adaptive filters
Kalman filtering: theory and practice
Kalman filtering: theory and practice
Kalman Filtering and Neural Networks
Kalman Filtering and Neural Networks
Neural Networks: A Comprehensive Foundation
Neural Networks: A Comprehensive Foundation
Recurrent Neural Networks: Design and Applications
Recurrent Neural Networks: Design and Applications
Recurrent Neural Networks for Prediction: Learning Algorithms,Architectures and Stability
Recurrent Neural Networks for Prediction: Learning Algorithms,Architectures and Stability
A Complex-Valued RTRL Algorithm for Recurrent Neural Networks
Neural Computation
Nonlinear adaptive prediction of speech with a pipelined recurrentneural network
IEEE Transactions on Signal Processing
Nonlinear adaptive prediction of nonstationary signals
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Second-order analysis of improper complex random vectors and processes
IEEE Transactions on Signal Processing
Second-order complex random vectors and normal distributions
IEEE Transactions on Signal Processing
On-line training of recurrent neural networks with continuous topology adaptation
IEEE Transactions on Neural Networks
An augmented CRTRL for complex-valued recurrent neural networks
Neural Networks
Discrete-time recurrent neural networks with complex-valued linear threshold neurons
IEEE Transactions on Circuits and Systems II: Express Briefs
The quaternion LMS algorithm for adaptive filtering of hypercomplex processes
IEEE Transactions on Signal Processing
Complex-valued function approximation using a fully complex-valued RBF (FC-RBF) learning algorithm
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
A class of discrete-time recurrent neural networks with multivalued neurons
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Complex-valued neural networks: the merits and their origins
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Complex valued recurrent neural networks for noncircular complex signals
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Recent progress in applications of complex-valued neural networks
ICAISC'10 Proceedings of the 10th international conference on Artifical intelligence and soft computing: Part II
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An augmented complex-valued extended Kalman filter (ACEKF) algorithm for the class of nonlinear adaptive filters realized as fully connected recurrent neural networks is introduced. This is achieved based on some recent developments in the so-called augmented complex statistics and the use of general fully complex nonlinear activation functions within the neurons. This makes the ACEKF suitable for processing general complex-valued nonlinear and nonstationary signals and also bivariate signals with strong component correlations. Simulations on benchmark and real-world complex-valued signals support the approach.