It is important to choose the ``on-line" averaging time , i.e., the averaging applied to the data before they are written to an initial storage medium, carefully. The data will be averaged relative to a particular phase tracking center and this on-line averaging cannot be undone. Any excess averaging done off-line, after the data have been archived, can be undone later, though it is obviously inefficient to do this.
The effects of finite averaging time were outlined in Lectures 3 and 10, and are also discussed in detail by Bridle & Schwab (1989), whose results I simply quote here. As is increased, phase winding of a point source at radius from the phase center both smears and attenuates the synthesized response to such a source. The effect is worst on a given baseline when Earth rotation moves the source perpendicular to the fringes associated with that baseline, but is zero when the feature moves parallel to the fringes. The magnitude of the effect therefore depends on baseline orientation, hour-angle and declination. For an array observing a point source near the north celestial pole, the average reduction in amplitude can be estimated in terms of the angular distance from the phase tracking center as:
where
The choice of balances several issues. First, you must decide what amplitude reduction due to time-average smearing will be acceptable at . Then estimate the corresponding from Equation 2 using appropriate values of and . If sensitivity or hardware considerations force you to choose an IF bandwidth that is wider than the given by Equation 1, estimate so that the effects of time-average smearing at are slightly less than those of chromatic aberration. (See VLA Averaging Time for a VLA-based example.)
Ideally, you would observe with set to the value estimated from Equation 2 unless this exceeds the expected coherence time for the atmospheric phase fluctuations on the longest baselines, or unless it is too long to let you edit the data satisfactorily. In either of those cases, you would observe with a shorter . You may later average the edited, calibrated data to the value estimated from Equation 2, to minimize the data volume and the image processing time.