Adaptive filter theory (2nd ed.)
Adaptive filter theory (2nd ed.)
Adaptive Filters: Theory and Applications
Adaptive Filters: Theory and Applications
ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 1 - Volume 1
Audio Signal Processing for Next-Generation Multimedia Communication Systems
Audio Signal Processing for Next-Generation Multimedia Communication Systems
Advanced Digital Signal Processing and Noise Reduction
Advanced Digital Signal Processing and Noise Reduction
An augmented CRTRL for complex-valued recurrent neural networks
Neural Networks
Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models
Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models
Signal Processing Techniques for Knowledge Extraction and Information Fusion
Signal Processing Techniques for Knowledge Extraction and Information Fusion
Second-order statistics of complex signals
IEEE Transactions on Signal Processing
Nonlinear adaptive prediction of nonstationary signals
IEEE Transactions on Signal Processing
A robust variable step-size LMS-type algorithm: analysis andsimulations
IEEE Transactions on Signal Processing
Second-order analysis of improper complex random vectors and processes
IEEE Transactions on Signal Processing
On Extending the Complex FastICA Algorithm to Noncircular Sources
IEEE Transactions on Signal Processing
Widely linear estimation with complex data
IEEE Transactions on Signal Processing
The Theory of Quaternion Orthogonal Designs
IEEE Transactions on Signal Processing
Hypercomplex signals-a novel extension of the analytic signal tothe multidimensional case
IEEE Transactions on Signal Processing
Fast Complexified Quaternion Fourier Transform
IEEE Transactions on Signal Processing
An LMS style variable tap-length algorithm for structure adaptation
IEEE Transactions on Signal Processing
Quaternion-MUSIC for vector-sensor array processing
IEEE Transactions on Signal Processing
Color image processing by using binary quaternion-moment-preserving thresholding technique
IEEE Transactions on Image Processing
Complex ICA by Negentropy Maximization
IEEE Transactions on Neural Networks
Split quaternion nonlinear adaptive filtering
Neural Networks
Empirical mode decomposition for trivariate signals
IEEE Transactions on Signal Processing
Properness and widely linear processing of quaternion random vectors
IEEE Transactions on Information Theory
Augmented second-order statistics of quaternion random signals
Signal Processing
A quaternion widely linear adaptive filter
IEEE Transactions on Signal Processing
Quaternion-valued stochastic gradient-based adaptive IIR filtering
IEEE Transactions on Signal Processing
Widely linear processing of hypercomplex signals
ICONIP'11 Proceedings of the 18th international conference on Neural Information Processing - Volume Part I
A class of quaternion valued affine projection algorithms
Signal Processing
Prediction of wide-sense stationary quaternion random signals
Signal Processing
Hi-index | 35.75 |
The quaternion least mean square (QLMS) algorithm is introduced for adaptive filtering of three- and four-dimensional processes, such as those observed in atmospheric modeling (wind, vector fields). These processes exhibit complex nonlinear dynamics and coupling between the dimensions, which make their component-wise processing by multiple univariate LMS, bivariate complex LMS (CLMS), or multichannel LMS (MLMS) algorithms inadequate.The QLMS accounts for these problems naturally, as it is derived directly in the quaternion domain. The analysis shows that QLMS operates inherently based on the so called "augmented" statistics, that is, both the covariance E{xxH} and pseudocovariance E{xxT} of the tap input vector x are taken into account. In addition, the operation in the quaternion domain facilitates fusion of heterogeneous data sources, for instance, the three vector dimensions of the wind field and air temperature. Simulations on both benchmark and real world data support the approach.