Title :
On the stability of the forced response of digital filters with overflow nonlinearities
Author :
Claasen, Theo A.C.M. ; Mecklenbräuker, Wolfgang F G ; Peek, J.B.H.
fDate :
8/1/1975 12:00:00 AM
Abstract :
The forced response of a general type of digital filter, implemented with overflow nonlinearities, is studied. A definition of stability of this forced response is given. It is indicated that this stability can be studied by means of the zero-input behavior of a system, with the same structure but with time-varying nonlinearities. A theorem is derived giving sufficient conditions for the stability of the forced response of a digital system. Some results of the application of this theorem to wave digital filters are given.
Keywords :
Digital filter stability; Digital networks and systems; Nonlinear networks, time-varying; Recursive digital filters; Digital filters; Digital systems; Linear systems; Nonlinear distortion; Nonlinear filters; Quantization; Signal analysis; Stability analysis; Sufficient conditions; Time varying systems;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1975.1084105
