On the Novel Application of Number Theoretic Methods to
نویسندگان
چکیده
Two techniques which are important in the passive detection of radars are the time-diierence of arrival (TDOA) histogram and time of arrival (TOA) folding. The methods are designed to highlight and resolve periodicities in the radar pulse time of arrival data so that pulses from diierent radars can be separated. However, both methods exhibit interference eeects which resemble \noise oors." We show that the statistics of these \noise oors" can be understood from the solution of pulse train coincidence and probability of intercept problems. We develop number theoretic methods for solving these problems based on simple continued fractions and Euclid's algorithm. We then discuss some of the properties of the noise oors and nd bounds on its variance under certain conditions.
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