Abstract
It is well known that by adding some extra zeros to a Daubechies low-pass wavelet filter, one gets new orthonormal wavelet basis with better regularity property. In this paper, we give a detailed study of this procedure in the general case of a wavelet filter associated with any integer dilation factor d ⩾ 2 . Moreover, we describe an algorithm for the construction of symmetric scaling functions with dilation factor d = 4 . Finally, we provide the reader with some numerical examples that illustrate the results of this work.
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