A Theoretical Foundation for the Widely Linear Processing of Quaternion-Valued Data

Tohru Nitta

National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Japan.

DOI: 10.4236/am.2013.412219                

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.

Keywords

Augmented Statistics; Complex Number; Estimation; Quaternion

Conflicts of Interest

The authors declare no conflicts of interest.

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