Title :
Bounds for discrete-time Volterra series representations
Author :
Sandberg, Irwin W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
fDate :
1/1/1999 12:00:00 AM
Abstract :
We give a Volterra-series representation theorem for discrete-time input-output maps that are causal and analytic. The theorem provides a bound on the error in approximating the series with its first p+1 terms. A detailed example is given to illustrate how the theorem can be used
Keywords :
Banach spaces; Volterra series; discrete time systems; nonlinear systems; Banach spaces; analytic maps; causal maps; discrete-time Volterra series representations; discrete-time input-output maps; error bound; Circuits; Convergence; Convolution; Linear systems; Nonlinear systems; Sufficient conditions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
