In this paper, a methodology for densely packing subcarriers for multicarrier systems is considered. A unit density Weyl-Heisenberg frame is proposed to achieve pulse shaping in multi-carrier communication systems. Hermite pulses are utilized as mother functions to be orthonormalized in pulse shape generation process. The proposed orthonormalized pulse shape, termed as UDALOP, is the first localized pulse shape for unit density multi-carrier communication systems. By using this pulse shape, the need for offset phase value of the O-QAM systems can be eliminated, without losing robustness to frequency dispersion.