ON SOME PROPERTIES OF AUTOREGRESSIVE WAVELET COEFFICIENTS

Orietta Nicolis (Italy) and Brani Vidakovic (USA)

Received January 16, 2009

References:

[1] G. Beylkin and N. Saito, Multiresolution representations using the autocorrelation functions of compactly supported wavelets, (with G. Beylkin), IEEE Trans. Signal Processing 41 (1993), 3584-3590. [2] I. Daubechies, Ten Lectures on Wavelets, Philadelphia, PA: SIAM, 1991. [3] I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1998), 909-996. [4] S. G. Mallat, A Wavelet Tour of Signal Processing, Academic Press, 1999. [5] D. Pollen, Parametrization of compactly supported wavelets, Aware. Tech. Rep., AD8YO503, Aware, Inc., May 1989. [6] B. Rayana, Denoising using Decompositions in the Auto-correlation Shell, Rapport de Stage dOption Scientifique, Ecole Polytechnique Promotion X-95, 1998. [7] B. Vidakovic, Statistical Modeling by Wavelets, John Wiley & Sons, New York, 1999.

Keywords and phrases: wavelet filter, wavelet autocorrelations.