| Abstract: | This is an introductory tutorial of wavelets from a spline theorist's point of view. The concept of integral wavelet transform (IWT) for time-frequency localization is discussed; and a comparison of compactly supported orthonormal wavelets, spline wavelets, and biorthogonal wavelets is given. When spline wavelets are being used, interpolatory splines are readily available for orthogonal wavelet decompositions, yielding the IWT at dyadic locations without performing any integration. In addition, since the dual spline wavelets are used as wavelet window functions, linear-phase filtering is accomplished. |
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