The Discrete Wavelet Transform

  • David F. Walnut
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


The MRA structure allows for the convenient, fast, and exact calculation of the wavelet coefficients of an L 2 function by providing a recursion relation between the scaling coefficients at a given scale and the scaling and wavelet coefficients at the next coarser scale. In order to specify this relation, let {V j × be an MRA with scaling function φ(x).


Discrete Wavelet Transform Wavelet Coefficient Scaling Function Wavelet Filter Infinite Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • David F. Walnut
    • 1
  1. 1.Department of Mathematical SciencesGeorge Mason UniversityFairfaxUSA

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