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.

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