Bounded-input-bounded-output properties of nonlinear discrete difference equations-applications to fixed-point digital filters

Input-output properties of discrete difference equations with sector-type nonlinearities are derived. The results are applied to direct form digital filters with combinations of quantization and overflow nonlinearities. Using these properties, the regions of global asymptotic stability of digital filters with two's complement quantization and overflow are provided. Previous stability results for combinations of roundoff quantization and any type of overflow are also improved upon.<
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