Parametrizing smooth compactly supported wavelets
Raymond O. Wells · Transactions of the American Mathematical Society · 1993
In this paper a concrete parameter space for the compactly supported wavelet systems of Daubechies is constructed. For wavelet systems with N N (generic) nonvanishing coefficients the parameter space is a closed convex set in R ( N − 2 ) / 2 {{\mathbf {R}}^{(N - 2)/2}} , which can be explicitly described in the Fourier transform domain. The moment-free wavelet systems are subsets obtained by the intersection of the parameter space and an affine subspace of R ( N − 2 ) / 2 {{\mathbf {R}}^{(N - 2)/2}} .