Minimally Supported Frequency (MSF) d-Dilation Wavelets

초록

In this paper, we provide a geometric construction of a symmetric 2n-interval minimally supported frequency (MSF) d-dilation wavelet set with d is an element of (1, infinity) and characterize all symmetric d-dilation wavelet sets. We also provide two special kinds of symmetric d-dilation wavelet sets, one of which has 4m-intervals whereas the other has (4m + 2)-intervals, for m is an element of N. In addition, we construct a family of d-dilation wavelet sets that has an infinite number of components.

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