Asymptotic performance analysis of the single-cycle detector

The paper deals with the analytical performance of the single-cycle detector, which is based on the cyclostationary properties of the signal to be intercepted. The Receiver Operating Characteristics (ROC) are derived theoretically, in discrete time, by using the asymptotic complex normality and covariance expressions of the sample average estimator of the cyclic-covariance when some "mixing conditions" are verified. Performance analysis of the single-cycle detector is evaluated for a cyclostationary signal observed in a background of stationary, zero-mean, white Gaussian noise. A numerical example for interception of a Binary-Phase-Shift-Keying (BPSK) signal is considered.