ABSTRACT
With multiresolution theory, StCphane Mallat linked orthogonal wavelets with the filters used in signal processing. In this approach, the wavelet is upstaged by a new function, the scaling function, which gives a series of pictures of the signal, each at a resolution differing by a factor of two from the previous resolution. In one direction, these successive images approximate the signal with greater and greater precision, approaching the original. In the other direction, they approach zero, containing less and less information.
