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A Theoretical Foundation for the Widely Linear Processing of Quaternion-Valued Data
National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Japan
- 1 National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Japan
Applied Mathematics·Volume 04 (2013)·Pages 1616–1620·Published 8 November 2013·DOI10.4236/am.2013.412219
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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.
KeywordsAugmented StatisticsComplex NumberEstimationQuaternion
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