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Wavelet Approximation

In: Wavelet Analysis

Author

Listed:
  • Howard L. Resnikoff

    (Future WAVE Inc.)

  • Raymond O. Wells Jr.

    (Rice University, Department of Mathematics)

Abstract

In this chapter, we introduce the notion of Coifman wavelet systems.1 These wavelet systems are similar to Daubechies wavelet systems (in rank 2) in that they have a maximal number of vanishing moments, but the vanishing of moments are equally distributed between the scaling function and the wavelet function. For such wavelet systems, one has a very good approximation theory, one of the reasons this variation of wavelets was introduced in the first place.

Suggested Citation

  • Howard L. Resnikoff & Raymond O. Wells Jr., 1998. "Wavelet Approximation," Springer Books, in: Wavelet Analysis, chapter 9, pages 202-235, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0593-7_9
    DOI: 10.1007/978-1-4612-0593-7_9
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