Separability Analysis of Random FM Radar Waveforms

This work seeks to elucidate the relationship between interfering frequency modulated (FM) radar waveforms and their observed separability. A statistical and analytical framework is developed through which the average separability is determined as a function of the mutual time-bandwidth product between the interfering waveforms. The analytically derived predictor for waveform separability is then compared to a long-observed heuristic. Since random waveforms exhibit stochastic cross-correlations, the maximum deviation above the analytically derived predictor is also examined. High-dimensional Monte Carlo simulations are used to numerically validate the analytical results.