  Determining the initial stellar multiplicity is a challenging problem since
protostars are faint and deeply embedded at early times; once formed, multiple
protostellar systems may significantly dynamically evolve before they are
optically revealed. Interferometers such as CARMA and ALMA make it possible to
probe the scales at which turbulent fragmentation occurs in dust continuum
emission, potentially constraining early stellar multiplicity. In this Letter
we present synthetic observations of starless and protostellar cores undergoing
fragmentation on scales of a few thousand AU to produce wide binary systems. We
show that interferometric observations of starless cores by CARMA should be
predominantly featureless at early stages, although wide protostellar
companions should be apparent. The enhanced capabilities of ALMA improve the
detection of core morphology so that it may be possible to detect substructure
at earlier times. In either case, spatial filtering from interferometry reduces
the observed core substructure and often eradicates traces of existing
filamentary morphology on scales down to 0.025 pc. However, some missing
structure may be recaptured by combining data from the ALMA full science and
Atacama compact arrays.
