Random wavelet transformation and its properties

Tomasz Bielecki; Jie Chen; Stephen S. T. Yau

doi:10.1117/12.188783

11 October 1994 Random wavelet transformation and its properties

Tomasz Bielecki, Jie Chen, Stephen S. T. Yau

Proceedings Volume 2303, Wavelet Applications in Signal and Image Processing II; (1994) https://doi.org/10.1117/12.188783
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

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.

Citation Download Citation

Tomasz Bielecki, Jie Chen, and Stephen S. T. Yau "Random wavelet transformation and its properties", Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); https://doi.org/10.1117/12.188783

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