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Redundant wavelet analysis applied to GRB time histories

Authors: A. Bijaoui; A. Chernenko;

Redundant wavelet analysis applied to GRB time histories

Abstract

We apply Redundant Wavelet Transforms (RWTs) to GRB time histories in order to identify significant structures on various time scales. While the classical Discrete Wavelet Transform (DWT) also carries out a data compression and a denoising, it does not lead to a description as a set of peaks. On the contrary, the so-called a trous algorithm (that is a redundant wavelet transform often being considered as a fast continuous wavelet transform for a real wavelet) carries out a time scale analysis which easily allows us to decompose the signal into peaks on different scales. After neglecting insignificant coefficients of the RWT the signal is easily restored while noise is suppressed. Not only is the quality of the smoothing better than the one we get with DWT, but also the thresholded wavelet coefficients contain directly the peak decomposition. It is then possible to use a Multiscale Vision Model that has been originally developed for 2D images that allows one to build oriented trees from the neighboring of ...

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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