Blind identification of bilinear systems

This paper is concerned with the blind identification of a class of bilinear systems excited by non-Gaussian higher order white noise. The matrix of coefficients of mixed input-output terms of the bilinear system model is assumed to be triangular in this work. Under the additional assumption that th...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2003-02, Vol.51 (2), p.484-499
Main Authors: Kalouptsidis, N., Koukoulas, P., Mathews, V.J.
Format: Article
Language:English
Subjects:
Applied sciences
Blinds
Computer science
control theory
systems
Computer simulation
Control theory. Systems
Exact sciences and technology
Gaussian
Kernel
Mathematical models
Modelling and identification
Noise
Noise measurement
Non-Gaussian
Nonlinear distortion
Nonlinear systems
Parameter estimation
Polynomials
Sea measurements
Signal processing
Statistics
White noise
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Summary:This paper is concerned with the blind identification of a class of bilinear systems excited by non-Gaussian higher order white noise. The matrix of coefficients of mixed input-output terms of the bilinear system model is assumed to be triangular in this work. Under the additional assumption that the system output is corrupted by Gaussian measurement noise, we derive an exact parameter estimation procedure based on the output cumulants of orders up to four. Results of the simulation experiments presented in the paper demonstrate the validity and usefulness of our approach.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2002.806971