TITLE:
A Theoretical Foundation for the Widely Linear Processing of Quaternion-Valued Data
AUTHORS:
Tohru Nitta
KEYWORDS:
Augmented Statistics; Complex Number; Estimation; Quaternion
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.12,
November
20,
2013
ABSTRACT:
In this paper, we will give a theoretical foundation for a quaternion-valued widely linear estimation framework. The estimation error obtained with the quaternion-valued widely linear estimation method is proved to be smaller than that obtained using the usual quaternion-valued linear estimation method.