DOI QR코드

DOI QR Code

SOME POPULAR WAVELET DISTRIBUTION

  • Published : 2007.05.31

Abstract

The modern approach for wavelets imposes a Bayesian prior model on the wavelet coefficients to capture the sparseness of the wavelet expansion. The idea is to build flexible probability models for the marginal posterior densities of the wavelet coefficients. In this note, we derive exact expressions for a popular model for the marginal posterior density.

Keywords

References

  1. I. S. Gradshteyn and I. M. Ryzhik, Table of integmls, series, and products, Translated from the Russian. Sixth edition. Translation edited and with a preface by Alan Jeffrey and Daniel Zwillinger. Academic Press, Inc., San Diego, CA, 2000
  2. S. Kotz and S. Nadarajah, Multivariatet distributions and their applications, Cambridge University Press, Cambridge, 2004
  3. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integmls and series, volumes 1, 2 and 3, Elementary functions. Translated from the Russian and with a preface by N. M. Queen. Gordon & Breach Science Publishers, New York, 1986
  4. David F. Walnut, An introduction to wavelet analysis, Applied and Numerical Harmonic Analysis. Birkhauser Boston, Inc., Boston, MA, 2002