Title :
Bounded-input-bounded-output properties of nonlinear discrete difference equations-applications to fixed-point digital filters
Author :
Bauer, Peter H. ; Leclerc, Louis-Jérôme
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
fDate :
8/1/1992 12:00:00 AM
Abstract :
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
Keywords :
difference equations; digital filters; quantisation; roundoff errors; stability; bounded-input-bounded output properties; fixed-point digital filters; global asymptotic stability; nonlinear discrete difference equations; overflow; overflow nonlinearities; quantization; roundoff quantization; sector-type nonlinearities; two´s complement quantization; Asymptotic stability; Circuit stability; Difference equations; Digital filters; Linear systems; Nonlinear equations; Nonlinear systems; Quantization; Registers; Search methods;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
