@article{(Open Science Index):https://publications.waset.org/pdf/9532, title = {Synthesis of Wavelet Filters using Wavelet Neural Networks}, author = {Wajdi Bellil and Chokri Ben Amar and Adel M. Alimi}, country = {}, institution = {}, abstract = {An application of Beta wavelet networks to synthesize pass-high and pass-low wavelet filters is investigated in this work. A Beta wavelet network is constructed using a parametric function called Beta function in order to resolve some nonlinear approximation problem. We combine the filter design theory with wavelet network approximation to synthesize perfect filter reconstruction. The order filter is given by the number of neurons in the hidden layer of the neural network. In this paper we use only the first derivative of Beta function to illustrate the proposed design procedures and exhibit its performance.}, journal = {International Journal of Aerospace and Mechanical Engineering}, volume = {2}, number = {1}, year = {2008}, pages = {195 - 198}, ee = {https://publications.waset.org/pdf/9532}, url = {https://publications.waset.org/vol/13}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 13, 2008}, }