SATURATION IN DIGITAL FILTERS
Nonlinearity due to saturation is widely seen in many signal processing circuits and systems because signals can be guaranteed to be bounded in certain regions. However, even for a second order digital filter associated with the saturation nonlinearity, it may exhibit oscillation behaviors and the frequencies of the oscillations are different for different filter parameters. For some applications, this would cause the degradation of system performance.
When the eigenvalues of the system matrix are outside the unit circle, we can expect that the state trajectories would not converge to the origin and oscillation behaviors would occur. But this is not necessarily true. In this chapter, conditions for the occurrence ...
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