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

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Brjuhanov J. A. Quantization effects in digital first order recursive filters with values truncation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 6, pp. 35-41. DOI: 10.18500/0869-6632-2002-10-6-35-41

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537.86: 530.182

Quantization effects in digital first order recursive filters with values truncation

Brjuhanov Jurij Aleksandrovich, P. G. Demidov Yaroslavl State University

Free oscillation and oscillation under a constant level input signal in low-frequency and high-frequency filters are considered. We use fixed point numbers in additional code. The method of one-dimensional point mapping is applied. Dynamical regimes are characterized by probabilistic diagrams. Expressions for most probably oscillation in the filter’s output with arbitrary numbers of quantization levels are defined. Given methods may be used for quantization effects investigation in the first-order digital filters with representation of the numbers in direct, inverse and additional code with rounding and truncation.

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The work was supported by the Russian Foundation for Basic Research and Ministry of Education of Russia.

1. Rabiner L, Gold B. Theory and Application of Digital Signal Processing. Prentice-Hall; 1975. 762 p.
2. Cappellini V, Constantinides AG, Emiliani P. Digital Filters and Their Applications. Academic Press; 1978. 393 p.
3. Butenin NV, Neimark YI, Fufaev NA. Introduction to the Theory of Nonlinear Oscillations. Moscow: Nauka; 1987. 385 p. (in Russian).
4. Bryukhanov YA. Transient processes in a second-order recursive system with saturation nonlinearity. Izvestiya VUZ. Applied Nonlinear Dynamics. 1998;6(2):28–34 (in Russian).
5. Bryukhanov YA. Oscillations in nonlinear recursive digital circuits of the first order under constant external influence. Izvestiya VUZ. Applied Nonlinear Dynamics. 1999;7(4):29 (in Russian).