Title: Band pass filtering and wavelets analysis
Authors: Stephen Pollock - University of Leicester (United Kingdom) [presenting]
Abstract: Wavelets analysis provides a means of analysing non-stationary time series of which the underlying statistical structures are continually evolving. It is an analysis both in the time domain and in the frequency domain. The effects of digital filtering in the time domain and the frequency domain will be described. It will proceed to provide the generalisation of the Shannon sampling theorem that is appropriate to bandpass filtering. This theorem establishes a relationship between continuous signals and their corresponding sampled sequences that is essential to a wavelets analysis. Once this background has been provided, the theories of Dyadic and non-Dyadic wavelets analysis can be described in detail.