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Haar wavelet method for solving lumped and distributed-parameter systems

Haar wavelet method for solving lumped and distributed-parameter systems

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  • Author(s): C.F. Chen 1  and  C.H. Hsiao 2
    • View affiliations
    • Affiliations: 1: Department of Electrical Engineering, National Cheng Kung University, Republic of China
      2: Department of Electrical Engineering, Wu Feng Institute of Technology and Commerce, Chia Yi, Republic of China
  • Source: Volume 144, Issue 1, January 1997, p. 87 – 94
    DOI:  10.1049/ip-cta:19970702 , Print ISSN 1350-2379, Online ISSN 1359-7035
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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.

Inspec keywords: distributed parameter systems; wavelet transforms; integration; lumped parameter networks; matrix algebra

Other keywords: operational matrix; integration; nontrivial examples; Haar wavelet method; distributed parameter systems; incremental multiresolution viewpoint; lumped parameter systems

Subjects: Numerical integration and differentiation; Integral transforms; Linear algebra (numerical analysis); Linear algebra (numerical analysis); Distributed parameter control systems; Integral transforms; Numerical integration and differentiation

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