A note on irregular discrete wavelet transforms

  • Authors:
  • P. A. Olsen;K. Seip

  • Affiliations:
  • Div. of Math. Sci., Trondheim Univ.;-

  • Venue:
  • IEEE Transactions on Information Theory - Part 2
  • Year:
  • 2006

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Abstract

Estimates of frame bounds for wavelet frames generated by discrete sets in phase space satisfying only a certain density condition are deduced. Numerical examples show that these estimates, which are the sharpest results of this kind known to the authors, are rather poor compared to Daubechies' estimates (see ibid., vol.36, no.5, p.961-1005, 1990) for the usual discrete wavelet transforms