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Proceedings Paper

Random wavelet transformation and its properties
Author(s): Tomasz Bielecki; Jie Chen; Stephen S. T. Yau
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Paper Abstract

A discrete random wavelet transformation is defined as a random field of stochastic integrals of translates and dilates of a compactly supported wavelet function with respect to a fractional Brownian motion. It is shown that the transformation exhibits several properties analogous to the ones demonstrated previously for the `classical' wavelet transformation of a fractional Brownian motion. Moreover, some important advantages of the transformation defined here, over its `classical' counterpart, are demonstrated.

Paper Details

Date Published: 11 October 1994
PDF: 9 pages
Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); doi: 10.1117/12.188783
Show Author Affiliations
Tomasz Bielecki, Univ. of Illinois/Chicago (United States)
Jie Chen, Univ. of Illinois/Chicago (United States)
Stephen S. T. Yau, Univ. of Illinois/Chicago (United States)

Published in SPIE Proceedings Vol. 2303:
Wavelet Applications in Signal and Image Processing II
Andrew F. Laine; Michael A. Unser, Editor(s)

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