Applications of Differential Phase Statistics to Studies of C3 (Command Control and Communications) and Spread Spectrum Communications

摘要

Three papers have been written and two others revised and edited for publication during this year of the contract. Primary emphasis has been on the study of filtered binary processes and the development of methods for approximating probability density functions from moments. We have obtained new fundamental results in this area and have demonstrated that these methods, with origins in statistics, can be fruitfully modified and extended and applied to physical problems in signal processing. The basic methods were shown to rigorously have their underlying foundations in the extended Fokker-Planck equation which the Principal Investigator originally developed in 1967. We are continuing to study the Fokker-Planck equation and are trying to relate the level crossing of arbitrary random processes to the Fokker-Planck coefficients with our motivations being from problems in filtered binary processes. Extensive computations involving approximative methods and Monte Carlo simulations of filtered binary processes are being done on an on-going basis.