Mathematical Analysis of the Empirical Mode Decomposition

completed

This study consists of two broad fronts of studies: to improve the presently available Empirical Mode Decomposition (EMD) algorithms and to establish a rigorous mathematical foundation for the generalized adaptive data analysis methodology. The success of the first research area will enhance immediate improvement of information management in a complex or significantly rich signal data system, such as the Integrated Safety System being considered by the Federal Highway Administration (FHWA) or for full-scale traffic control systems. The success of the second research area would enable drastic improvement of robustness and reliability of the algorithm and guarantees its further applications.