FRACTAL MODELING OF BIOMEDICAL TIME SERIES IN S-PLUS

The goal of this project is to provide a comprehensive state-of-the-art software package, S+FRACTAL for modeling and data analysis of fractal processes. The overall implementation will be in the S-PLUS object oriented language. The specific aim of the software is to provide comprehensive and effective tools for estimating deterministic or stochastic fractal model parameters and to encourage research-oriented exploration of fractal structure found in biomedical time series. A diagnostic test suite will e implemented to infer the presence of deterministic or stochastic components in a time series and to aid the researcher in identifying an appropriate (fractal) model for arbitrary time series. Advanced linear and non-linear denoising techniques will be implemented to help separate the underlying deterministic dynamics from stochastic noise. Coupled with the existing statistical analysis capabilities of S-PLUS, the S+FRACTAL module will provide a commercially viable and comprehensive fractal analysis product for medical and health related fields as well as engineering disciplines.