## Partial Beam Coverage

This scheme has been implemented on Plateau de Bure, where the dynamic range of the detectors is relatively small (only 2 between optimum sensitivity and saturation). The only change from the standard equations presented before is the introduction of the “beam filling factor” or “calibration efficiency” in the output on the chopper (from Eq. (1-2))
(17)

Algebra similar to that already exposed yields

(18)
just correcting by an additional scaling factor.

In TREC mode, the sky emission is derived by

(19)
and in AUTO mode, the receiver temperature may be derived by
(20)