  This paper explores the potential for statistical epoch of reionization (EOR)
measurements using wide field radio observations. New developments in low
frequency radio instrumentation and signal processing allow very sensitive EOR
measurements, and the analysis techniques enabled by these advances offer
natural ways of separating the EOR signal from the residual foreground
emission. This paper introduces the enabling technologies and proposes an
analysis technique designed to make optimal use of the capabilities of next
generation low frequency radio arrays. The observations we propose can directly
observe the power spectrum of the EOR using relatively short observations, and
are significantly more sensitive than other techniques which have been
discussed in the literature. For example, in the absence of foreground
contamination the measurements we propose would produce five 3-sigma power
spectrum points in 100 hours of observation with only 4 MHz bandwidth with
LOFAR for simple models of the high redshift 21cm emission. The challenge of
residual foreground removal may be addressed by the symmetries in the
three-dimensional (two spatial frequencies and radiofrequency) radio
interferometric data. These symmetries naturally separate the EOR signal from
most classes of residual un-subtracted foreground contamination, including all
foreground continuum sources and radio line emission from the Milky Way.
