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.
On the stability of discrete time recursive Volterra filters / Mumolo, Enzo; Carini, A.. - In: IEEE SIGNAL PROCESSING LETTERS. - ISSN 1070-9908. - 6:(1999), pp. 230-232. [10.1109/97.782067]
On the stability of discrete time recursive Volterra filters
MUMOLO, ENZO;A. CARINI
1999-01-01
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.Pubblicazioni consigliate
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