Removing radio interference from contaminated astronomical spectra using   an independent reference signal and closure relations
  The growing level of radio frequency interference (RFI) is a recognized problem for research in radio astronomy. This paper describes an intuitive but powerful RFI cancellation technique that is suitable for radio spectroscopy where time-averages are recorded. An RFI ``reference signal,'' is constructed from the cross power spectrum of the signals from the two polarizations of a reference horn pointed at the source of the RFI signal. The RFI signal paths obey simple phase and amplitude closure relations, which allows computation of the RFI contamination in the astronomical data and the corrections to be applied to the astronomical spectra.   Since the method is immune to the effects of multipath scattering in both the astronomy and reference signal channels, ``clean copies'' of the RFI signal are not required.   The method could be generalized (1) to interferometer arrays, (2) to correct for scattered solar radiation that causes spectral ``standing waves'' in single-dish spectroscopy, and (3) to pulsar survey and timing applications where a digital correlator plays an important role in broadband pulse dedispersion.   Future large radio telescopes, such as the proposed LOFAR and SKA arrays, will require a high degree of RFI suppression and could implement the technique proposed here with the benefit of faster electronics, greater digital precision and higher data rates. 
F. H. Briggs, J. F. Bell, M. J. Kesteven