THE POISSON WAVELET TRANSFORM
作者:
KARLENEA. KOSANOVICH,
ALLANR. MOSER,
MICHAELJ. PIOVOSO,
期刊:
Chemical Engineering Communications
(Taylor Available online 1996)
卷期:
Volume 146,
issue 1
页码: 131-138
ISSN:0098-6445
年代: 1996
DOI:10.1080/00986449608936485
出版商: Taylor & Francis Group
关键词: Wavelets;Poisson transform;Poisson wavelet transform
数据来源: Taylor
摘要:
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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