Title :
State analysis and parameter estimation of bilinear systems via Haar wavelets
Author :
Hsiao, Chun-Hui ; Wang, Wen-June
Author_Institution :
Dept. of Electr. Eng., Nat. Central Univ., Chung-Li, Taiwan
fDate :
2/1/2000 12:00:00 AM
Abstract :
This paper studies the state analysis and parameter estimation of bilinear systems via Haar wavelets. Some intrinsic properties of Haar wavelets are exploited and a Haar product matrix and a coefficient matrix are also derived. With the aid of the above tools, the state analysis and parameter estimation of bilinear systems can be solved easily. The local property of Haar wavelets is fully applied to shorten the calculation process in the task
Keywords :
Haar transforms; bilinear systems; parameter estimation; wavelet transforms; Haar wavelets; bilinear systems; calculation process; coefficient matrix; local property; parameter estimation; product matrix; state analysis; Circuit analysis; Delay effects; Delay estimation; Eigenvalues and eigenfunctions; Mathematical model; Nonlinear systems; Parameter estimation; Predictive models; Wavelet analysis; Wiring;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
