Wavelet-packet identification of dynamic systems in frequency subbands

• Published in: Signal processing Vol. 86; no. 8; pp. 2001 - 2008
• Main Authors: Mohallem Paiva, Henrique, Kawakami Harrop Galvão, Roberto
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01-08-2006; Elsevier Science
• Subjects: Applied sciences; Detection, estimation, filtering, equalization, prediction; Dynamic systems; Exact sciences and technology; Identification; Information, signal and communications theory; Signal and communications theory; Signal, noise; Telecommunications and information theory; Wavelet packets; Dynamic systems; Wavelet packets; Identification; Subband decomposition; Tree structured method; Linear system; Wavelet transformation; System identification; Dynamical system
• ISSN: 0165-1684; 1872-7557
• DOI: 10.1016/j.sigpro.2005.09.021

This work presents a technique for linear system identification in frequency subbands by using wavelet packets. The wavelet-packet decomposition tree is used to establish frequency bands where subband models are created. An algorithm is proposed to adjust the tree structure, in order to achieve a compromise between accuracy and parsimony of the model. In a simulated example involving the identification of an aircraft model, the results of the proposed technique are favourably compared with those of a standard time-domain method.