Title :
On the stability of discrete time recursive Volterra filters
Author :
Mumolo, Enzo ; Carini, Alberto
Author_Institution :
Dipt. di Elettrotecnica, Elettronica ed Inf., Trieste Univ., Italy
Abstract :
Many real nonlinear systems are characterized by an infinite input signal memory. In such conditions, system modeling by means of recursive polynomial filters requires a much lower number of coefficients with respect to nonrecursive realizations. However, the main problem of recursive polynomial filters is their inherent instability. This letter describes simple sufficient stability conditions for a class of discrete-time nonlinear systems based on recursive Volterra filters of arbitrary orders.
Keywords :
Volterra series; circuit stability; discrete time filters; filtering theory; nonlinear filters; polynomials; recursive filters; arbitrary orders; discrete time recursive Volterra filters; inherent instability; nonlinear systems; recursive polynomial filters; sufficient stability conditions; Condition monitoring; Kernel; Linear systems; Modeling; Nonlinear filters; Nonlinear systems; Polynomials; Stability; Sufficient conditions; System identification;
Journal_Title :
Signal Processing Letters, IEEE
