Title :
Application of number theory to structurally passive digital filters
Author :
Burrascano, P. ; Cardarilli, G.C. ; Lojacono, R. ; Martinelli, Giovanni ; Salerno, U.
Author_Institution :
Dipartimento di Ingegneria Elettronica, Rome Univ., Italy
Abstract :
The Givens planar rotator is a basic component of a structurally passive digital filter. The realization of this element by a residue number system is discussed, with particular attention given to the elimination of multiplications by applying the isomorphism between the modular multiplication and addition. The authors also propose a possible scheme for extending the dynamic range of the rotator, based on the Chinese remainder theorem.<>
Keywords :
digital arithmetic; digital filters; Chinese remainder theorem; Givens planar rotator; dynamic range extension; modular addition; modular multiplication; residue number system; structurally passive digital filters; Cathode ray tubes; Delay; Digital filters; Dynamic range; Equations; Hardware;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.15279