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Multi-taper Spectral Analysis in Gravitational Wave Data Analysis

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Abstract

Spectral estimation plays a significant role in gravitational wave data analysis. We provide a brief introduction to multi-taper methods which use multiple orthogonal tapers (or windows) to provide spectral estimators with excellent bias and variance properties. Multi-taper methods are also extremely powerful for the estimation and removal of sharp spectral peaks in the presence of noise such as arise due to power line harmonics or suspension resonances. We present examples of these methods using the GRASP (Gravitational Radiation Analysis and Simulation Package) software package.

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REFERENCES

  1. Allen, B., et al. (1998). GRASP: a data analysis package for gravitational wave detection version 1.8.3. Manual and package at: http://www.lsc-group.phys.uwm.edu/.

  2. Blackman, R. B., and Tukey, J. W. (1958). The Measurement of Power Spectra (Dover, New York).

    Google Scholar 

  3. Kay, S. M. (1988). Modern Spectral Estimation -- Theory and Application (Prentice-Hall, New York).

    Google Scholar 

  4. Percival, D. B., and Walden, A. T. (1993). Spectral Analysis for Physical Applications – Multitaper and Conventional Univariate Techniques (Cambridge University Press, Cambridge).

    Google Scholar 

  5. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. (1992). Numerical Recipes -- The Art of Scientific Computing (Cambridge University Press, Cambridge).

    Google Scholar 

  6. Slepian, D. (1978). Bell Syst. Tech. J. 57, 1371.

    Google Scholar 

  7. Thomson, D. J. (1982). Proc. IEEE 70, 1055.

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Wisconsin -- Milwaukee, PO Box 413, Milwaukee, Wisconsin, 53201, USA

    Bruce Allen

  2. Department of Mathematical Physics, University College Dublin, Belfield, Dublin 4, Ireland

    Adrian Ottewill

Authors
  1. Bruce Allen
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  2. Adrian Ottewill
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Allen, B., Ottewill, A. Multi-taper Spectral Analysis in Gravitational Wave Data Analysis. General Relativity and Gravitation 32, 385–398 (2000). https://doi.org/10.1023/A:1001911930363

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  • DOI: https://doi.org/10.1023/A:1001911930363

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