ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Brjuhanov J. A. Oscillations in the first-order digital recursive filters with representations of numbers in additional code with round-off. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 1, pp. 10-17. DOI: 10.18500/0869-6632-2004-12-1-10-17

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.86: 530.182
DOI: 
10.18500/0869-6632-2004-12-1-10-17

Oscillations in the first-order digital recursive filters with representations of numbers in additional code with round-off

Autors: 
Brjuhanov Jurij Aleksandrovich, P. G. Demidov Yaroslavl State University
Abstract: 

Processes in low-pass and high-pass filters with ап arbitrary number of quantization levels are investigated. Numbers are represented in additional code and the results of adding are rounded. Adder have the characteristic with saturation. Using dot mappings method, the autonomous regime and oscillations under constant external influence are considered. Expressions for calculating the most probable operating modes are obtained.

Key words: 
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Acknowledgments: 
The work was supported by the Russian Foundation for Basic Research, grant № 02-02-17500.
Reference: 
  1. Rabiner LR, Gold B. Theory and Application of Digital Signal Processing. Moscow: Mir; 1978. 848 p. (in Russian).
  2. Cappellini V, Constantinides AG, Emilani P. Digital Filters and Their Applications. Moscow: Energoatomizdat; 1983. 360 p. (in Russian).
  3. Bryukhanov YuA. Oscillations in digital recursive filters of the first order with truncation modulo the results of addition. J. Commun. Technol. Electron. 2002;47(10):1208–1211.
  4. Butenin NV, Neimark YuI, Fufaev NA. Introduction in Theory of Nonlinear Oscillations. Moscow: Nauka; 1987. 382 p. (in Russian).
  5. Bryukhanov YuA. Oscillations in nonlinear recursive digital circuits of the first order under constant external influence. Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din. 1999;7(4):29–34.
Received: 
16.04.2003
Accepted: 
16.10.2003
Published: 
20.06.2004
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