PE281 Lecture 10 Notes - Stanford University

Given a mother wavelet, an orthogonal family of wavelets can be obtained by properly choosing a= am 0 and b= nb 0, where mand nare integers, a 0 >1 is a dilation parameter, and b 0 >0 is a translation parameter. To ensure that wavelets ψ a,b, for fixed a, “cover” f(x) in a similar manner as mincreases, we choose b 0 = βam 0. For rapid ...

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