Widely linear processing of hypercomplex signals

Authors:
Tohru Nitta
Affiliations:
National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba-shi, Ibaraki, Japan
Venue:
ICONIP'11 Proceedings of the 18th international conference on Neural Information Processing - Volume Part I
Year:
2011

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Abstract

In this paper, we formulate a Clifford-valued widely linear estimation framework. Clifford number is a hypercomplex number that generalizes real, complex numbers, quaternions, and higher dimensional numbers. And also, as a first step, 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 proven to be smaller than that obtained using the usual quaternion-valued linear estimation method.