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An analysis of the performance of a cross-frequency detection algorithm for pulsed sinusoidal radio frequency interference (RFI) is performed. The performance obtained is compared with that of pulse and kurtosis detection methods that have been previously reported. The results of the study show that the cross-frequency algorithm provides good performance in detecting pulsed sinusoidal RFI at high duty cycles, including the case of continuous sinusoidal interference. The use of the cross-frequency algorithm requires choice of a detection threshold that in practice can be estimated using measured data. The effect of this threshold estimation on the detector performance is also examined.