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Wavelet Based Analysis of Cosmic Gamma-Ray Burst Time Series

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Statistical Challenges in Modern Astronomy II

Abstract

Multiscale edge detection using wavelet transform maxima provides a robust method to compress information in a transient signal. We apply this method to Gamma-Ray Burst (GRB) time series data from the Compton Gamma Ray Observatory (CGRO). This provides a method to quantify the variability, identify structures, significantly suppress noise and compress the volume of data by as much as a factor of 10.

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References

  1. G. Kaiser, A Friendly Guide to Wavelets Birkhauser: Boston (1994).

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  2. S.G. Mallat and S. Zhong, IEEE Transactions on Pattern Analysis and Machine Intelligence 7 (1992).

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  3. C.A. Young Masters Thesis University of New Hampshire (1996).

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Young, C.A., Meredith, D.C., Ryan, J.M. (2010). Wavelet Based Analysis of Cosmic Gamma-Ray Burst Time Series. In: Babu, G.J., Feigelson, E.D. (eds) Statistical Challenges in Modern Astronomy II. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1968-2_37

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  • DOI: https://doi.org/10.1007/978-1-4612-1968-2_37

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7360-8

  • Online ISBN: 978-1-4612-1968-2

  • eBook Packages: Springer Book Archive

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