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arXiv · 1709.08460

Simple Signal Extension Method for Discrete Wavelet Transform

David Barina·Pavel Zemcik·Michal Kula
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Abstract

Discrete wavelet transform of finite-length signals must necessarily handle the signal boundaries. The state-of-the-art approaches treat such boundaries in a complicated and inflexible way, using special prolog or epilog phases. This holds true in particular for images decomposed into a number of scales, exemplary in JPEG 2000 coding system. In this paper, the state-of-the-art approaches are extended to perform the treatment using a compact streaming core, possibly in multi-scale fashion. We present the core focused on CDF 5/3 wavelet and the symmetric border extension method, both employed in the JPEG 2000. As a result of our work, every input sample is visited only once, while the results are produced immediately, i.e. without buffering.

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David Barina, Pavel Zemcik, Michal Kula. 2017-09-25. Simple Signal Extension Method for Discrete Wavelet Transform. https://doi.org/10.1109/siprocess.2016.7888319

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