
doi: 10.1063/1.55320
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 ...
| 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). | 0 | |
| 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. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
