Current Development in Theory and Applications of Wavelets
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Abstract: A Weyl-Heisenberg frame for is a frame
consisting of the set of translates and modulates of a fixed function in i.e., withandA fundamental question
is to explicitly represent the familiessuch thatis a frame
for In this
paper, we investigate the difficult problem at the rationally oversampled case.
Let where We show
that Eis a Weyl-Heisenberg
frame set for is
equivalent to classifying the integer sets such that does not have any zeros on the unit circle in the
plane. To show our results the technique in the Zak transform has been used.
