Exploitation of Higher-Order Cyclostationarity for Weak-Signal Detection and Time-Delay Estimation

摘要

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