Special Session 90: Recent advances in wavelet analysis, PDEs and dynamical systems

Predictive algorithms for burst-like external force identification

Ilya Krishtal
Northern Illinois University
USA
Co-Author(s):    
Abstract:
I will describe two predictive algorithms for estimating bursts in the external force of an abstract initial value problem (IVP). The focus is on the special structure of the samples of the solution of the IVP that allows for quick and accurate estimation of Dirac or rapidly decaying bursts. The predictive nature of the algorithms manifests in using the current samples to estimate the measurements at the end of the following sampling period on the condition that no burst occurred within the period. The talk is based on joint work with A. Aldroubi, L. Gong, L. Huang, and K. Kornelson.