Abstract
The construction of wavelets begins with a dilation equation ϕ( x) = Σc k ϕ(2 x- k). The choice of the coefficients c k controls the accuracy and orthogonality of wavelet expansions. We show how the Daubechies coefficients, which give pth order accuracy with 2 p coefficients (the minimum number), follow from orthogonality and accuracy conditions applied to the polynomial Σ c k e i kξ .
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