Research Seminar - May 13, 1998

Abstract

Wavelet signal processing is an alternative to the traditional Fourier Transform for specific problem domains. History has revealed that the basic ideas have existed for many years, however, under different names and in apparently unrelated fields. A unified theory for this multidisciplinary knowledge is responsible for the rapid growth of the field and the novelty and power of its applications.

The recent development of a new wavelet filter construction technique, the Lifting Scheme, has drawn yet more parallels between wavelet theory and signal processing. I am specifically interested in data visualisation. I will discuss the construction and properties of a specific wavelet family and how it forms the basis of a signal analysis, reconstruction and visualisation framework.