  We have used a relatively long, contiguous VHF observation of a bright cosmic
radio source (Cygnus A) with the Very Large Array (VLA) to demonstrate the
capability of this instrument to study the ionosphere. This interferometer, and
others like it, can observe ionospheric total electron content (TEC)
fluctuations on a much wider range of scales than is possible with many other
instruments. We have shown that with a bright source, the VLA can measure
differential TEC values between pairs of antennas (delta-TEC) with an precision
of 0.0003 TECU. Here, we detail the data reduction and processing techniques
used to achieve this level of precision. In addition, we demonstrate techniques
for exploiting these high-precision delta-TEC measurements to compute the TEC
gradient observed by the array as well as small-scale fluctuations within the
TEC gradient surface. A companion paper details specialized spectral analysis
techniques used to characterize the properties of wave-like fluctuations within
this data.
