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VLA Averaging Times

       

The on-line visibility averaging time tex2html_wrap_inline2417 at the VLA may be set to any multiple of 1.67 sec, but the even multiples are preferable, for reasons associated with the VLA phase switching system. In practice, averaging for only 1.67 sec may give large ( tex2html_wrap_inline2725 10 mJy) correlator offsets, so the shortest tex2html_wrap_inline2417 recommended for all applications is 3.3 sec. The ``default" values of the on-line visibility averaging time tex2html_wrap_inline2417 at the VLA are 10 sec for the A and B configurations and 30 sec for the C and D configurations.

The effects of the on-line averaging are permanent, because the averaged data are written to the archive tape created by the on-line system. It is therefore important to choose an on-line averaging time that limits time-averaging distortions to acceptable values, and is shorter than the expected atmospheric coherence time (provided the hardware and computer restrictions permit such a choice--spectroscopists must note Table 9). Longer averaging times may be used off-line, e.g., once the data have been calibrated.

For Gaussian tapering in the u-v plane, the intensity reduction due to a finite averaging time tex2html_wrap_inline2417 is given by Bridle & Schwab's Equation 13-39 with tex2html_wrap_inline2901 , which we may write as

(7)  displaymath2942

Spectroscopists should use Equation 7, with values of tex2html_wrap_inline2903 that are acceptable for their experiment, to determine the maximum acceptable averaging time.

Continuum observers may wish instead to use an averaging time tex2html_wrap_inline2905 that produces the same intensity reduction for a source near the pole as does an IF bandwidth tex2html_wrap_inline2313 . This can be approximated (for small intensity reductions) by equating the terms in tex2html_wrap_inline2909 from Equations 6 and 7, obtaining

(8)  displaymath2944

Equation 8 gives a reasonable criterion for the maximum averaging time tex2html_wrap_inline2417 that should be used with an IF bandwidth tex2html_wrap_inline2313 for continuum observations at observing frequency tex2html_wrap_inline2259 . Notice that tex2html_wrap_inline2905 does not depend on VLA configuration or on tex2html_wrap_inline2333 , owing to the first-order similarities between the chromatic aberration and time-average smearing for a polar source. There is an intuitive basis for Equation 8: for a polar source, time averaging smears the visibilities over an angle tex2html_wrap_inline2921 in the u-v plane so its effects scale as tex2html_wrap_inline2927 , whereas those of bandwidth smearing scale as tex2html_wrap_inline2929 .

You may have to exceed the value of tex2html_wrap_inline2905 calculated from Equations  7 or 8 because the VLA's on-line system cannot provide averaging times less than 1.67 seconds in any of the normal observing modes. Note also that the VLA on-line system averages all baselines with the same tex2html_wrap_inline2417 . If the calibrator observations are only a few minutes each (as is often the case at low frequencies), averaging times longer than 1 min are undesirable because they permit only crude editing of the calibrator data. tex2html_wrap_inline2417 is also limited in many cases by the size of the final data set, especially for multiconfiguration continuum syntheses, or multichannel--continuum or spectral line--observing (Table 9). If storing the data set requires much more than the average disk space available per user in the off-line computers, data processing (and/ or life with one's colleagues) becomes difficult. Averaging times tex2html_wrap_inline2417 are sometimes set longer than would otherwise be desirable, just to avoid such ``excessive" data volumes. Most VLA continuum observing is done with 10 sec  tex2html_wrap_inline2941  1 min because of these constraints. For line work, Table 9 gives the limits that are imposed by the correlator.


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Next: The Primary Beam Up: Appendix: Considerations Specific to the VLA Previous: VLA Bandwidth Selection

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