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

For citation:

Brjuhanov J. A., Rudyh D. V., Priorov A. L. Oscillations in autonomous 2-D recursive digital systems of first order with three levels of quantization. Izvestiya VUZ. Applied Nonlinear Dynamics, 2006, vol. 14, iss. 6, pp. 63-74. DOI: 10.18500/0869-6632-2006-14-6-63-74

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.86: 530.182
DOI: 
10.18500/0869-6632-2006-14-6-63-74

Oscillations in autonomous 2-D recursive digital systems of first order with three levels of quantization

Autors: 
Brjuhanov Jurij Aleksandrovich, P. G. Demidov Yaroslavl State University
Rudyh Dmitrij Vladimirovich, P. G. Demidov Yaroslavl State University
Priorov Andrej Leonidovich, P. G. Demidov Yaroslavl State University
Abstract: 

Processes in autonomous 2-D digital recursive filters of first order with three levels of quantization are investigated. Method of bifurcation diagram construction is proposed. With its help conditions of existence of the determine input movements types expressed through coefficients of the filter are found. 

Key words: 
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Reference: 
  1. Dudgeon D, Mersereau R. Multidimentional digital signal processing. New Jersey: Prentice Hall; 1984. 488 p.
  2. Chang T. Limit cycles in a two-dimensional first-order digital filter. IEEE Trans. Circuits Syst. 1977;24(1):15–19. DOI: 10.1109/TCS.1977.1084264.
  3. Cappellini V, Constantinides AG, Emilani P. Digital filters and their applications. London, New York: Academic Press; 1978. 393 p.
  4. Bose T, Brown D. Zero-input limit cycles due to rounding in digital filters. IEEE Trans. Circuits Syst. 1989;36(6):931–933. DOI: 10.1109/31.90424.
  5. D'Addario L, Thompson A, Schwab F, Granlund J. Complex cross correlators with three-level quantization design tolerances. Radio Sci. 1984;19(3):931–945. DOI: 10.1029/RS019I003P00931.
  6. Bryuhanov YuA. Quantization Effects In Digital First Order Recursive Filters With Values Truncation. Izvestiya VUZ. Applied Nonlinear Dynamics. 2002;10(6):35–41.
  7. Bryuhanov YuA. Oscillations in the first-order digital recursive filters with representations of numbers in additional code with round-off. Izvestiya VUZ. Applied Nonlinear Dynamics. 2004;12(1-2):10–17.
  8. Rudyh DV, Lebedev MV, Khryashchev VV, Priorov AL. Investigation of the twodimensional first-order recursive digital filters with saturation nonlinearity. Proc. of the 11-th Workshop on «Nonlinear Dynamics of Electronic Systems» (NDES’2003). Switzerland. 2003. P. 213.
  9. Brjukhanov YuA, Priorov AL, Myasnikov EA, Kalinin SA. Frequency properties of two-dimensional recursive digital systems of the first order. Izvestiya Vysshikh Uchebnykh Zavedenii Rossii. Radioelektronika. 1995;4:26–30.
Received: 
01.02.2005
Accepted: 
04.07.2005
Published: 
29.12.2006
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