Summary of Accomplished Work under Previous Air Force Grant AFOSR-83-0229

Panayota Papantoni-Kazakos · 1988

Abstract : A theory for robust filtering and smoothing is formulated that combines the qualitative robustness theory with the theory of saddle point games. This theory finds robust filters for certain contaminated classes of stochastic processes. Robust predictors, interpolators, and filters are designed for various classes of vector stationary processes with contaminated spectra. Measures of breakdown points and curves, efficiency, and performance variation within the classes are produced. A variety of multiple access transmission protocols are designed for various levels of available feedback and feedback sensing. The studies include asymptotically many user models. Limited sensing algorithms are devised with the with the highest existing throughput, to this point in time, and with robust characteristics in the presence of feedback errors. A unified methodology for the delay analysis of a big variety of random access algorithms is devised.

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