Applications of Differential Phase Statistics to Studies of C3 and Spread Spectrum Communications.
RANDOM APPLICATIONS INC MONTROSE CO
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Three reports have been written under this second year of the contract and are listed in the next section as Papers No. 6, 7, 8. Paper No. 6 addresses the classical and very complicated problem of finding the probability density function at the output of an RC filter when the input is a binary random telegraph signal whose intervals are described by a renewal process. Paper No. 7 focuses on a particular case in which the desired probability density is the solution of a rather formidable third-order differential equation with non-constant coefficients. A closed form solution is found for one special value of a system characteristics parameter, and a series solution is obtained for general values of the this parameter. Paper No. 8 is concerned with developing methods for calculating the solution to a fourth order differential equation. Although the theory of such equations is well known, a prohibitive amount of algebra is required to determine the coefficients in series solutions, and a computer method is developed in which the algebra is circumvented. The method is quite general, and in an appendix is applied to Bessels differential equation and, quite surprisingly, a new second solution to Bessels equation is obtained which does not appear to have been previously noticed.
- Non-Radio Communications