Cyclic wavelet systems in prime dimensional linear vector spaces
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Abstract:
Finite affine groups are given by groups of translations and di- lations on finite cyclic groups. For cyclic groups of prime order we develop a time-scale (wavelet) analysis and show that for a large class of non-zero window signals/vectors, the generated full cyclic wavelet system constitutes a frame whose canonical dual is a cyclic wavelet frame.
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Journal title
volume 2 issue 1
pages 11- 24
publication date 2015-09-01
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