Modeling of widely-linear quaternion valued systems using hypercomplex algorithms

• Main Authors: Mohammed, Haydar Imad, Hashim, Fazirulhisyam, Che Ujang, Che Ahmad Bukhari
• Format: Conference or Workshop Item
• Language: English
• Published: IEEE 2015
• Online Access: http://psasir.upm.edu.my/id/eprint/69330/1/Modeling%20of%20widely-linear%20quaternion%20valued%20systems%20using%20hypercomplex%20algorithms.pdf; http://psasir.upm.edu.my/id/eprint/69330/
• Institution: Universiti Putra Malaysia

The data-driven optimal modeling and identification of widely-linear quaternion-valued synthetic systems is achieved by using a quaternion-valued gradient based algorithms. To account rigorously for the second-order statistics of the quaternion system, the quaternion least mean square (QLMS) and widely linear quaternion least mean square (WL-QLMS) were selected. The QLMS is shown to successfully model the quaternion-valued systems and the WL-QLMS is able to model both quaternion and widely-linear quaternion valued systems taking into account the full second-order statistics of the system. Analysis has proven that both algorithms are able to adapt to non-stationary nature of the systems. This approach is supported by simulations of various synthetic systems.