Title :
Hypercomplex numbers in digital signal processing
Author :
Schütte, Hans-Dieter ; Wenzel, Jorg
Author_Institution :
Dept. of Electr. Eng., Paderborn Univ., West Germany
Abstract :
A new number system, reduced biquaternions (RBs), is introduced. They are related to the quaternions and biquaternions proposed by W.R. Hamilton (1969). It is shown that a further reduction of systems degree will occur if RBs are used. An example shows the realization of a fourth-order real filter by means of a first-order RB filter. With the introduction of the RBs a new method is obtained for the design of wave digital Hilbert transformers
Keywords :
computerised signal processing; digital arithmetic; digital filters; digital signal processing; first-order RB filter; fourth-order real filter; hypercomplex numbers; reduced biquaternions; wave digital Hilbert transformers; Algebra; Arithmetic; Digital signal processing; Filters; Hardware; Quaternions; Signal analysis; Signal design; Transfer functions; Transformers;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112431
