  We investigate the relevance of admissibility criteria based on Plancherel
measure for the characterization of tight Weyl-Heisenberg frames with integer
oversampling. For this purpose we observe that functions giving rise to such
Weyl-Heisenberg frames are admissible with respect to the action of suitably
defined type-I discrete group G. This allows to relate the construction of
Weyl-Heisenberg frames to the Plancherel measure of G, which provides an
alternative proof and a new interpretation of the well-known Zak transform
based criterion for tight Weyl-Heisenberg frames with integer oversampling.
