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 2010
形態種別 研究論文(学術雑誌)
査読 査読あり
標題 Windowed Fourier transform of two-dimensional quaternionic signals
執筆形態 共著
掲載誌名 Appl. Math. and Computation
掲載区分国外
出版社・発行元 Elsevier
巻・号・頁 216(8),pp.2366-2379
著者・共著者 HITZER Eckhard, B. Mawardi, R. Ashino, R. Vaillancourt
概要 In this paper, we generalize the classical windowed Fourier transform (WFT) to quaternion-valued signals, called the quaternionic windowed Fourier transform (QWFT). Using the spectral representation of the quaternionic Fourier transform (QFT), we derive several important prop- erties such as reconstruction formula, reproducing kernel, isometry, and orthogonality relation. Taking the Gaussian function as window function we obtain quaternionic Gabor filters which play the role of coefficient functions when decomposing the signal in the quaternionic Gabor basis. We apply the QWFT properties and the (right-sided) QFT to establish a Heisenberg type uncertainty principle for the QWFT. Finally, we briefly introduce an application of the QWFT to a linear time-varying system.
DOI 10.1016/j.amc.2010.03.082