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Multiresolution Analysis and Construction of Wavelets

  • Lokenath Debnath

Abstract

The concept of multiresolution is intuitively related to the study of signals or images at different levels of resolution almost like a pyramid. The resolution of a signal is a qualitative description associated with its frequency content. For a low-pass signal, the lower its frequency content (the narrower the bandwidth), the coarser is its resolution. In signal processing, a low-pass and subsampled version of a signal is usually a good coarse approximation for many real world signals. Multiresolution is especially evident in image processing and computer vision, where coarse versions of an image are often used as a first approximation in computational algorithms.

Keywords

Orthonormal Basis Wavelet Coefficient Unit Interval Scaling Function Mother Wavelet 
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 2002

Authors and Affiliations

  • Lokenath Debnath
    • 1
  1. 1.Department of MathematicsUniversity of Texas—Pan AmericanEdinburgUSA

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