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

• 作者: Tohru Nitta
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: AUGMENTED STATISTICS Complex NUMBER Estimation QUATERNION
• 年，卷（期）: yysxyw_2013,（12）
• 页码范围: 1616-1620
• 页数: 5页
• 分类号: O1

摘要

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.