Title :
Relationship between input-scaling and stability of the forced response of recursive digital filters
Author_Institution :
Dept. of Electron. & Commun. Sci., La Trobe Univ., Bundoora, Vic., Australia
fDate :
5/1/1988 12:00:00 AM
Abstract :
The stability of forced response of a general recursive digital filter operating in the inherent presence of overflow nonlinearities is examined. A theorem is derived that relates forced-response stability to the degree of input-scaling. The technique is applied to the investigation of the stability properties of state-space digital filters, resulting in a criterion for the forced-input stability of Nth-order state-space filters. Subsequently, it is applied to the second-order case. The resultant stability criterion is applied to the investigation of optimal state-space and normal filters. Finally, the stability properties of wave digital filters are discussed
Keywords :
digital filters; filtering and prediction theory; stability criteria; DSP; Nth-order state-space filters; forced-response stability; input-scaling; overflow nonlinearities; recursive digital filters; second-order case; stability criterion; stability of forced response; stability properties; state-space digital filters; wave digital filters; Australia; Digital filters; Digital systems; Fixed-point arithmetic; Milling machines; Nonlinear distortion; Nonlinear filters; Quantization; Stability criteria; State-space methods;
Journal_Title :
Circuits and Systems, IEEE Transactions on
