| 202D2 |
|---|
| Application to Modeling by Wavelet Connection Coefficients |
| AUTHORS |
| Tadayoshi FURUYA, Atsumori TAYAOKA, Mitsuru SOEDA (Kitakyushu College of Technology) |
| ABSTRACT |
| Wavelet Transformation recently has been exploited in some new area of applications in modeling and control. Based on the orthogonality and two scale properties of wavelets, continuous time function can be uniquely represented by some scaling functions. Using so called connection coefficients enables ones to compute derivatives of time functions without any differentiation. So differential equations in scaling function forms, by taking inner products with the scaling function, can be represented into time discrete models with the trasformed variables and the connection coefficients. Here we introduce connection coefficients, which are integration of time sifted scaling functions or derivatives of scaling functions with respects to the original scaling function. Some examples are demonstrated; the product of one function and derivative of another function is computed by the connection coefficients and the parameters of a transfer function of second degree are estimated by this method. Together with these examples, the lists of Daubechies wavelet connection coefficients used here are printed for further consideration. The results reveal that the computed values are accurate enough and the method is effective in system identification of time continuous transfer functions. |
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Annual Conference 2002