The cumulant theory of cyclostationary time-series is applied to several types of problems that arise in the area of signal interception and to the problem of estimating the relative time-delay of a heavily corrupted signal received at two locations. The theory characterizes the additive sine waves present in the output of nonlinear transformations of such time-series. The detection and time-delay estimation problems posed are difficult to solve because the signal is weak, the noise and interference are nonstationary and non-Gaussian, and the signal does not exhibit second-order cyclostationarity.
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