Abstract
In this chapter, four important wavelet families are discussed: the Daubechies wavelet family, the Coiflet wavelet family, the Morlet wavelet family, and the biorthogonal wavelet family. The wavelet display function and the “waveinfo” command are introduced so that the detailed curve shape of scaling and wavelet functions, for both decomposition and reconstruction, can be viewed in arbitrary accuracy. Several popular wavelet transform variants are presented. The e-decimated wavelet transform chooses either odd or even index randomly.
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