Random signals and systems
Audio Signal Processing for Next-Generation Multimedia Communication Systems
Audio Signal Processing for Next-Generation Multimedia Communication Systems
Quaternion involutions and anti-involutions
Computers & Mathematics with Applications
The quaternion LMS algorithm for adaptive filtering of hypercomplex processes
IEEE Transactions on Signal Processing
Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models
Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models
Widely linear estimation with complex data
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Quaternion-MUSIC for vector-sensor array processing
IEEE Transactions on Signal Processing
Augmented second-order statistics of quaternion random signals
Signal Processing
A class of quaternion valued affine projection algorithms
Signal Processing
Prediction of wide-sense stationary quaternion random signals
Signal Processing
Hi-index | 35.68 |
A quaternion widely linear (QWL) model for quaternion valued mean-square-error (MSE) estimation is proposed. The augmented statistics are first introduced into the field of quaternions, and it is demonstrated that this allows for capturing the complete second order statistics available. The QWL model is next incorporated into the quaternion least mean-square (QLMS) algorithm to yield the widely linear QLMS (WL-QLMS). This allows for a unified approach to adaptive filtering of both Q-proper and Q-improper signals, leading to improved accuracies compared to the QLMS class of algorithms. Simulations on both benchmark and real world data support the analysis.