The research proposed under this Phase I STTR will initiate development of a Matlab-based toolbox for extracting, parameterizing and synthesizing non-stationary process. The toolbox, to be fully developed under a Phase II effort, will provide robust computational resources to identify and replicate non-stationary effects for a large class of fractal and multi fractional process. Multi-fractal process have been used in such diverse applications as turbulence, telecommunications, and finance; however, the mathematical tools to perform analyses, model mg and simulation have been available mainly to specialists in the field. The proposed toolbox will be completely general and structured in such a way that users can tailor processing to their own needs by interactively modifying analysis procedures as they are applied to real or stimulated data sets. The final product will also provide an interface for segmenting and interactively testing the suitability of any digitized data stream for multi-fractal representation
