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This work explores the capabilities of cyclostationarity for interference rejection when only one sensor is available. The aim is to detect an unknown signal when it overlaps simultaneously in time and frequency with an interference whose cyclic spectrum is known. The approach is to split separation and detection problems: Firstly, the interference is separated by means of a blind adaptive frequency shift (FRESH) filter. Then, detection is made on the residual, which is assumed to consist of noise and the signal of interest. Simulation results prove a sensitivity improvement in practical situations.