Ten Lectures on Wavelets

Daubechies, I. (1992). Ten Lectures on Wavelets.

Type

Book

Intellectual base

Review or monograph

Year

1992

DOI

10.1137/1.9781611970104

ISBN

9780898712742

DOI registrant

Society for Industrial and Applied Mathematics

Link

https://doi.org/10.1137/1.9781611970104

Cited by

5 citations across 5 artifacts.

Domain-specific

• Discrete wavelet transform
  • The entry treats discrete wavelet coefficient transforms and their reconstruction conditions; it does not prescribe a denoising threshold, codec, or claim one wavelet is universally optimal.
• Dual wavelet
  • Duals exist for Riesz bases and frames under stated bounds, may not share the same generator form, and biorthogonal wavelet systems trade orthogonality for properties such as symmetry and compact support.
• Modified Morlet wavelet
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Multiresolution Analysis
  • Daubechies used this framework to build compactly supported orthonormal wavelets with prescribed regularity and vanishing moments.
• Transfer matrix
  • … observable transfers from A canonical instance directly demonstrates that matrix blocks are constructed from the declared refinement mask and their spectral properties correspond to the same two-scale equation. to An applied instance preserves the same invariant under a changed scale, notation, or implementation..

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