China
Due to not being a group under addition, admits no traditional wavelet or Gabor frames. This paper addresses a class of modulation-dilation frames (-frames) for . We obtain a -transform matrix-based expression of adding generators to generate -tight frames from a -Bessel sequences in ; and present criteria on with being a Parseval frame (an orthonormal basis) for an arbitrary Parseval frame sequence (an orthonormal sequence) in . Some examples are also presented.
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