  We suggest a technique for the observation of a predicted supersolid phase in
extended Bose-Hubbard models which are potentially realizable in cold atom
optical lattice systems. In particular, we discuss important subtleties arising
from the existence of the trapping potential which leads to an externally
imposed (as opposed to spontaneous) breaking of translational invariance. We
show, by carefully including the trapping potential in our theoretical
formalism, that noise correlations could prove instrumental in identifying the
supersolid and density wave phases. We also find that the noise correlation
peak width scales inversely with the relative size of trapped Mott domains.
