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>Oscillation and convergence behaviours exhibited in an 'unstable' second-order digital filter with saturation-type non-linearity
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Oscillation and convergence behaviours exhibited in an 'unstable' second-order digital filter with saturation-type non-linearity
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机译:具有饱和型非线性的“不稳定”二阶数字滤波器表现出的振荡和收敛行为
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摘要
This letter explains the oscillatory behaviours exhibited in a second-order digital filter with saturation-type non-linearity via the Hopf bifurcation theorem. It is shown that depending on the bifurcation parameter, the state variables may converge to zero even when the eigenvalues of the system matrix are outside the unit circle.
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