Continuous Wavelet Transform and Continuous Multiscale Analysis

@inproceedings{Stark2003ContinuousWT,
  title={Continuous Wavelet Transform and Continuous Multiscale Analysis},
  author={Hans-Georg Stark and James S. Howland},
  year={2003}
}
We study a generalization to the continuous wavelet transform of the concept of dyadic multiscale analysis, useful in the analysis and application of orthonormal wavelet decompositions. The resulting notion of scaling and its limitation is discussed and a possible modification is introduced. With this modified notion of scaling the “information loss” which occurs, when analyzing a signal with orthonormal wavelets (i.e., using a discrete subset of the shift dilation plane only) instead of… CONTINUE READING
3 Citations
14 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 14 references

PAUL, Transforms associated to square integrable group representations. I

  • A. GROSSMANN, J. MORLET
  • General results, J. Math. Phys
  • 1985
Highly Influential
4 Excerpts

TCHAMITCHIAN, A real-time algorithm for signal analysis with the help of the waelet transform, in “Wavelets

  • M. HOLSCHNEIDER, R. KRONLAND-MARTINET, J. MORLET, PH
  • 1989
2 Excerpts

L’Analyse d’objets Fractals et leur Transformation en Ondelettes,

  • M. HOLSCHNEIDER
  • These de Doctorat, Universite de Provence (Aix…
  • 1988
1 Excerpt

MORLET, AND PH. TCHAMITCHIAN, The algorithme a trous, preprint, CPT-88/P.2115

  • M. HOLSCHNEIDER, J. R. KRONLAND-MARTINET
  • 1988
1 Excerpt

PAUL, Transforms associated to square integrable group representations. II. Examples

  • A. GROSSMANN, J. MORLET
  • Ann. Inst. H. PoincarP
  • 1986

MORLET, Decomposition of functions into wavelets of constant shape, and related transforms, in “Mathmatics and Physics, Lectures on Recent Results

  • J. A. GROMANN
  • World Scientific, Singapore,
  • 1985
1 Excerpt

Transforms associated to square integrable group representations

  • J. MORLET A. GROSSMANN
  • I . General results , J . Math . Phys .
  • 1985

Functions analytic on the half-plane as quantum mechanical states

  • T. PAUL
  • J. Math. Phys
  • 1984
1 Excerpt

Similar Papers

Loading similar papers…