Realization of an orthogonal filter with hypercomplex coefficients

Citation
M. Okuda et al., Realization of an orthogonal filter with hypercomplex coefficients, ELEC C JP 3, 85(3), 2002, pp. 52-60
Citations number
11
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE
ISSN journal
1042-0967 → ACNP
Volume
85
Issue
3
Year of publication
2002
Pages
52 - 60
Database
ISI
SICI code
1042-0967(2002)85:3<52:ROAOFW>2.0.ZU;2-D
Abstract
This paper proposes an orthogonal digital filter to simultaneously realize a pair of complex-coefficient digital filters with power complementarity by means of hypercomplex-coefficient all-pass digital filters. Hypercomplex f ilters can realize equivalent characteristics with only half as great a fil ter order as complex-coefficient digital filters and only one-quarter as gr eat an order as real-coefficient digital filters. A method of realization o f the hypercomplex-coefficient all-pass transfer function is discussed as w ell as a method of determining a transfer function with power complementari ty for a certain complex-coefficient digital filter. Further, an example of the hypercomplex-coefficient transfer function is used and the effectivene ss of the proposed method is shown. (C) 2001 Scripta Technica, Electron Com m Jpn Pt 3, 85(3): 52-60, 2002.