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Suppression of limit cycles in second-order companion form digital filters with saturation arithmetic

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  • Singh, Vimal

Abstract

A condition for second-order companion form digital filters with time variant nondeterministic saturation overflow arithmetic to be free of limit cycles was previously given by Ooba. The condition corresponds to a region which is a subset of the stability triangle. In the present paper, time invariant deterministic saturation nonlinearities are considered. It is shown that, with such nonlinearities, the system is free of limit cycles in whole of the stability triangle.

Suggested Citation

  • Singh, Vimal, 2008. "Suppression of limit cycles in second-order companion form digital filters with saturation arithmetic," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 677-681.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:3:p:677-681
    DOI: 10.1016/j.chaos.2006.06.079
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    References listed on IDEAS

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    8. Singh, Vimal, 2007. "Modified LMI condition for the realization of limit cycle-free digital filters using saturation arithmetic," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1448-1453.
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    Cited by:

    1. Singh, Vimal, 2008. "Novel frequency-domain criterion for elimination of limit cycles in a class of digital filters with single saturation nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 178-183.
    2. Yuan, Li-Guo & Nie, Du-Xian & Fu, Xin-Chu, 2009. "Complex orbits in a second-order digital filter with sinusoidal response," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1660-1667.

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