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Haar wavelet method for solving lumped and distributed-parameter systems

1997; Institution of Engineering and Technology; Volume: 144; Issue: 1 Linguagem: Inglês

10.1049/ip-cta

1359-7035

C.F. Chen, Chun‐Hui Hsiao,

Digital Filter Design and Implementation

An operational matrix of integration based on Haar wavelets is established, and a procedure for applying the matrix to analyse lumped and distributed-parameters dynamic systems is formulated. The technique can be interpreted from the incremental and multiresolution viewpoint. Crude as well as accurate solutions can be obtained by changing the parameter m; in the mean time, the main features of the solution are preserved. Several nontrivial examples are included for demonstrating the fast, flexible and convenient capabilities of the new method.