ABSTRACT

In this chapter we present an overview of the theory of wavelets, with particular emphasis on their use in signal processing..

The fantastic increase in computer power over the last few decades has made possible, even routine, the use of digital procedures for solving problems that were believed earlier to be intractable, such as the modeling of large-scale systems. At the same time, it has created new applications unimagined previously, such as medical imaging. In some cases the math-

has come with as with the Fast developed, or perhaps rediscovered, as needed by the people involved in the applications. Only later is it realized that the theory already existed, as with the development of computerized tomography without Radon’s earlier work on reconstruction of functions from their line integrals.