THE POISSON WAVELET TRANSFORM |
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Authors: | Karlene A Kosanovich Allan R Moser Michael J Piovoso |
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Affiliation: |
a Department of Chemical Engineering, University of South Carolina, Columbia, SC
b DuPont Central Research and Development, Wilmington, DE |
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Abstract: | This paper introduces a family of wavelet transforms based on the Poisson Transform. The wavelet transform maps L2 (R)functions to a space described by two continuous variables, scale and translation, as well as a discrete index. Reconstruction in the wavelet domain can be done for each of the discrete indices. Additionally, a different reconstruction formula exists for the Poisson Transform domain. We develop the Poisson Wavelet Transform, present an example relevant to stable, over-damped, linear, time-invariant systems, and show the relationship between the Poisson Transform and the Poisson Wavelet Transform. |
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Keywords: | Wavelets Poisson transform Poisson wavelet transform |
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