ヒッツェル,エクハルト   HITZER, Eckhard
  ヒッツェル, エクハルト
   所属   国際基督教大学教養学部 アーツ・サイエンス学科
   職種   上級准教授
言語種別 英語
発行・発表の年月 2013
形態種別 研究論文(学術雑誌)
査読 査読あり
標題 Algebraic foundations of split hypercomplex nonlinear adaptive filtering
執筆形態 単著
掲載誌名 Mathematical Methods in the Applied Sciences
出版社・発行元 Wiley
巻・号・頁 36(9),pp.1042-1055
著者・共著者 HITZER Eckhard
概要 A split hypercomplex learning algorithm for the training of nonlinear finite impulse response adaptive filters for the processing of hypercomplex signals of any dimension is proposed. The derivation strictly takes into account the laws of hypercomplex algebra and hypercomplex calculus, some of which have been neglected in existing learning approaches (e.g., for quaternions). Already in the case of quaternions, we can predict improvements in performance of hypercomplex processes. The convergence of the proposed algorithms is rigorously analyzed.
DOI 10.1002/mma.2660