Paper Info
Title
Identification of nonlinear, memoryless systems using Chebyshev nodes
Abstract
The paper describes an approach for the identification of static nonlinearities from input-output measurements. The approach is based on a minimax approximation of memoryless nonlinear systems using Chebyshev polynomials. For memoryless nonlinear systems that are finite and continuous with finite derivatives, it is known that the error caused by the Kth order Chebyshev approximation in a specified interval is bounded by a quantity that is proportional to the maximum value of the (K+1)th derivative of the input-output relationship and decays exponentially with K. The described method identifies the system by first estimating the system output at the Chebyshev nodes using a localized linear model around the nodes, and then solving for the coefficients associated with the Chebyshev polynomials of the first kind.
Year
DOI
Venue
2005
10.1109/ICASSP.2005.1415953
ICASSP (4)
Keywords
Field
DocType
chebyshev polynomials,chebyshev nodes,signal processing,parameter estimation,localized linear model,nonlinear systems,system output estimation,chebyshev approximation,finite derivatives,minimax techniques,nonlinear memoryless system identification,input signal,minimax approximation,polynomials,memoryless nonlinear systems,nonlinear distortion,chebyshev polynomial,linear model,stability,nonlinear system,input output
Chebyshev polynomials,Chebyshev nodes,Chebyshev pseudospectral method,Mathematical optimization,Mathematical analysis,Chebyshev equation,Equioscillation theorem,Clenshaw algorithm,Multidimensional Chebyshev's inequality,Mathematics,Chebyshev iteration
Conference
Volume
ISSN
ISBN
4
1520-6149
0-7803-8874-7
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Janez Jeraj1131.57
V. John Mathews23811.28