Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/13326
Title: Parameterized convergence bounds for volterra series expansion of NARX models
Authors: Xiao, Z
Jing, X 
Cheng, L 
Keywords: Convergence criteria
frequency domain
NARX models
Volterra series
Issue Date: 2013
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on signal processing, 2013, v. 61, no. 20, 6576853, p. 5026-5038 How to cite?
Journal: IEEE transactions on signal processing 
Abstract: Evaluation of the convergence bound in the frequency domain for Volterra series expansion of nonlinear systems described by NARX models is studied. This provides new convergence criteria under which the nonlinear system of interest has a convergent Volterra series expansion, and the new criteria are expressed explicitly in terms of the input magnitude, model parameters, and frequency variable. The new convergence criteria are firstly developed for harmonic inputs and then extended to multi-tone and general input cases. Based on the theoretical analysis, a general procedure for calculating the convergence bound is provided. The results provide a fundamental basis for nonlinear signal processing using the Volterra series theory.
URI: http://hdl.handle.net/10397/13326
ISSN: 1053-587X
EISSN: 1941-0476
DOI: 10.1109/TSP.2013.2277838
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