Elimination of constant-input limit cycles in recursive digital filters using a generalised minimum norm
Laurence E. Turner · IEE Proceedings G (Electronic Circuits and Systems) · 1983
The concept of a minimum norm which is not the Euclidian norm is presented and used to eliminate autonomous limit cycles in recursive digital filters. This concept is then extended to include the elimination of constant-input limit cycles. An implementation of a 2nd-order coupled form filter which is free of limit cycles under all constant-input conditions is presented. The generalised minimum norm N(X(k))2 and the integer equilibrium state X̂e of four 2nd-order filters are also compared.