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Visibility averaging time

       

It is important to choose the ``on-line" averaging time tex2html_wrap_inline2417 , 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 Any excess averaging done off-line, after the data have been archived, can be undone later, though it is obviously inefficient to do this.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 tex2html_wrap_inline2417 were outlined in Lectures 3 and 10, and are also discussed in detail by Bridle & Schwab (1989), whose results I simply quote here. As tex2html_wrap_inline2417 is increased, phase winding of a point source at radius tex2html_wrap_inline2497 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 tex2html_wrap_inline2499 can be estimated in terms of the angular distance tex2html_wrap_inline2497 from the phase tracking center as:

(2)  displaymath2546

where

The choice of tex2html_wrap_inline2417 balances several issues. First, you must decide what amplitude reduction tex2html_wrap_inline2525 due to time-average smearing will be acceptable at tex2html_wrap_inline2527 . Then estimate the corresponding tex2html_wrap_inline2417 from Equation 2 using appropriate values of tex2html_wrap_inline2531 and tex2html_wrap_inline2257 . If sensitivity or hardware considerations force you to choose an IF bandwidth that is wider than the tex2html_wrap_inline2465 given by Equation 1, estimate tex2html_wrap_inline2417 so that the effects of time-average smearing at tex2html_wrap_inline2333 are slightly less than those of chromatic aberration. (See VLA Averaging Time for a VLA-based example.)

Ideally, you would observe with tex2html_wrap_inline2417 set to the value estimated from Equation 2 unless this exceeds the expected coherence time tex2html_wrap_inline2543 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 tex2html_wrap_inline2417 . 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.


next up previous contents index external
Next: Total Integration Time Up: Field of View Restrictions Previous: Continuum: IF bandwidth

abridle@nrao.edu
Thu Jul 11 16:26:53 EDT 1996