Filtering of quaternion signals / Furman Ya. A.,Khafizov R. G.,Rozhentsov A. A. // JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS. - 2007. - V. 52, l. 1. - P. 36-44.

ISSN/EISSN:

1064-2269 / нет данных

Type:

Article

Abstract:

Filtering of quaternion signals that specify group point objects and images in the form of polyhedrons in a 3D space is considered. It is shown that the main difference between a quaternion filter and filters for real and complex-valued signals is that, in a quaternion filter, each mth harmonic of the input signal is split into two harmonics: the reference harmonic with frequency m and the image harmonic with the frequency s-m. This behavior of the filter results from the noncommutativity of the multiplication operation for quaternions, a circumstance that necessitates the calculation of two scalar products with nonzero values at frequencies m and s - m, respectively, rather than one scalar product.

Author keywords:

нет данных

DOI:

10.1134/S1064226907010068

Web of Science ID:

ISI:000246468000006

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JAN
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Engineering; Telecommunications
Web-of-Science-Categories	Engineering, Electrical \& Electronic; Telecommunications
ResearcherID-Numbers	Rohlf, F/A-8710-2008
Number-of-Cited-References	11
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	4
Journal-ISO	J. Commun. Technol. Electron.
Doc-Delivery-Number	167RE