Skip to main content
Log in

Applications of the DFT/CLEAN Technique to Solar Time Series

  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

A new technique of Fourier analysis, DFT/CLEAN, has been adapted for the study of solar time series. The technique was developed by Roberts and his collaborators (1987, 1994) to address the limitations of other techniques of Fourier analysis and the shortcomings of many astronomical time series. The utility of the technique is illustrated with several applications to solar time series.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Blackman, R. B. and Tukey, J. W.: 1958, The Measurement of Power Spectra, Dover, New York.

    Google Scholar 

  • Bouwer, S. D.: 1992, Solar Phys. 142, 365.

    Google Scholar 

  • Bracewell, R.: 1965, The Fourier Transform and Its Applications, McGraw-Hill, New York.

    MATH  Google Scholar 

  • Briggs, D. S., Schwab, F. R., and Sramek, R. A.: 1999, in G. B. Taylor, C. L. Carilli, and R. A. Perley (eds.), Synthesis Imaging in Radio Astronomy II, Astronomical Society of the Pacific, San Francisco, p. 127.

    Google Scholar 

  • Brueckner, G. E., Edlow, K. L., Floyd, L. E., Lean, J. L., and VanHoosier, M. E.: 1993, J. Geophys. Res. 98, 10695.

    Article  ADS  Google Scholar 

  • Cebula, R. P. and DeLand, M. T.: 1998, Solar Phys. 177, 117.

    Article  ADS  Google Scholar 

  • Cornwell, T., Braun, R., and Briggs, D. S.: 1999, in G. B. Taylor, C. L. Carilli, and R. A. Perley (eds.), Synthesis Imaging in Radio Astronomy II, Astronomical Society of the Pacific, San Francisco, p. 151.

    Google Scholar 

  • Crane, P. C.: 1998, Solar Phys. 177, 243.

    Article  ADS  Google Scholar 

  • Crane, P. C., Floyd, L. E., Herring, L. C, Cook, J. W., and Prinz, D. K.: 2001, Astrophys. J. (submitted).

  • Davenport, W. B. and Root, W. L.: 1958, An Introduction to the Theory of Random Signals and Noise, McGraw-Hill, New York.

    MATH  Google Scholar 

  • Deeming, T. J.: 1975, Astrophys. Space Sci. 36, 137.

    Article  ADS  MATH  MathSciNet  Google Scholar 

  • Deland, M. T. and Cebula, R. P.: 1998, Solar Phys. 177, 105.

    Article  ADS  Google Scholar 

  • Donnelly, R. F.: 1987, Solar Phys. 109, 37.

    Article  ADS  Google Scholar 

  • Eddy, J. A.: 1976, Science 192, 1189.

    Article  ADS  Google Scholar 

  • Floyd, L., Brueckner, G., Crane, P., Prinz, P., and Herring, L.: 1997, in A. Wilson and B. Fleck (eds.), Proc. 31st ESLAB Symp., Correlated Phenomena at the Sun, in the Heliosphere and in Geospace, ESA SP-415, ESTEC, Noordwijk, The Netherlands, pp. 235-242.

    Google Scholar 

  • Floyd, L. E., Crane, P. C., Herring, L. C., and Prinz, D. K.: 1998, EOS Transactions 79, F10.

    Google Scholar 

  • Fomalont, E. B.: 1999, in G. B. Taylor, C. L. Carilli, and R. A. Perley (eds.), Synthesis Imaging in Radio Astronomy II, Astronomical Society of the Pacific, San Francisco, p. 301.

    Google Scholar 

  • Gershenfeld, N.: 1999, The Nature of Mathematical Modeling, Cambridge University Press, New York.

    MATH  Google Scholar 

  • Hall, L. A. and Anderson, G. P.: 1991, J. Geophys. Res. 96, 12927.

    Article  ADS  Google Scholar 

  • Heath, D. F. and Schlesinger, B. M.:1986, J. Geophys. Res. 91, 8672.

    Article  ADS  Google Scholar 

  • Heath, D. F., Repoff, T. P., and Donnelly, R. F.: 1984, NOAA Tech. Memo. ERL ARL-129, NOAA ERL, Boulder, Colorado.

    Google Scholar 

  • Högbom, J. A.: 1974, Astron. Astrophys. Suppl. 15, 417.

    ADS  Google Scholar 

  • Horne, J. H. and Baliunas, S. L.: 1986, Astrophys. J. 302, 757.

    Article  ADS  Google Scholar 

  • Hughes, V. A. and Kesteven, M. J. L.: 1981, Solar Phys. 71, 259.

    Article  ADS  Google Scholar 

  • Lean, J.: 1997, Ann. Rev. Astron. Astrophys. 35, 33.

    Article  ADS  Google Scholar 

  • Lean, J. L. and Brueckner, G. E.: 1989, Astrophys. J. 337, 568.

    Article  ADS  Google Scholar 

  • Lean, J. L. and Repoff, T. P.: 1987, J. Geophys. Res. 92, 5555.

    Google Scholar 

  • Lomb, N. R.: 1976, Astrophys. Space Sci. 39, 447.

    Article  ADS  Google Scholar 

  • Moran, J. M.: 1976, in M. L. Meeks (ed.), Methods of Experimental Physics, Vol. 12, Astrophysics, Part C: Radio Observations, Academic Press, New York, p. 228.

    Google Scholar 

  • Oliver, R., Ballester, J. L., and Baudin, F.: 1998, Nature 394, 552.

    Article  ADS  Google Scholar 

  • Pap, J., Tobiska, W. K., and Bouwer, S. D.: 1990, Solar Phys. 129, 165.

    Article  ADS  Google Scholar 

  • Papoulis, A.: 1965, Probability, Random Variables and Stochastic Processes, McGraw-Hill, New York.

    MATH  Google Scholar 

  • Percival, D. B. and Walden, A. T.: 1993, Spectral Analysis for Physical Applications: Multitaper and Conventional Univariate Techniques, Cambridge University Press, New York.

    MATH  Google Scholar 

  • Perley, R. A.: 1999, in G. B. Taylor, C. L. Carilli, and R. A. Perley (eds.), Synthesis Imaging in Radio Astronomy II, Astronomical Society of the Pacific, San Francisco, p. 275.

    Google Scholar 

  • Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P.: 1992, Numerical Recipes in Fortran, 2nd edn., Cambridge University Press, New York.

    MATH  Google Scholar 

  • Rabinovitch, S.: 1995, Measurement Errors: Theory and Practice, AIP Press, New York.

    Google Scholar 

  • Rice, S. O.: 1944, Bell Syst. Tech. J. 23, 282.

    MATH  MathSciNet  Google Scholar 

  • Rice, S. O.: 1945, Bell Syst. Tech. J. 24, 46.

    MATH  MathSciNet  Google Scholar 

  • Rinehart, S. A., Hajian, A. R., Houck, J. R., and Terzian, Y.: 2000, Pub. Astron. Soc. Pacific 112, 977.

    Article  ADS  Google Scholar 

  • Roberts, D. H. and Lehár, J.: 1994, private communication.

  • Roberts, D. J., Lehár, J., and Dreher, J. W.: 1987, Astron. J. 93, 968.

    Article  ADS  Google Scholar 

  • Scargle, J. D.: 1982, Astrophys. J. 263, 835.

    Article  ADS  Google Scholar 

  • Scargle, J. D.: 1989, Astrophys. J. 343, 874.

    Article  ADS  Google Scholar 

  • Schwarz, U. J.: 1978, Astron. Astrophys. 65, 345.

    ADS  Google Scholar 

  • Schwarz, U. J.: 1979, in C. van Schooneveld (ed.), Image Formation from Covariance Functions in Astronomy, D. Reidel, Dordrecht, The Netherlands, p. 261.

    Google Scholar 

  • Tapping, K. F.: 2000, private communication.

  • Tapping, K. F. and Charrois, D. P.: 1994, Solar Phys. 150, 305.

    Article  ADS  Google Scholar 

  • Thompson, A. R., Moran, J. M., and Swenson, G. W.: 1986, Interferometry and Synthesis in Radio Astronomy, John Wiley & Sons, New York.

    Google Scholar 

  • Viereck, R. A. and Puga, L. C.: 1999, J. Geophys. Res. 104, 9995.

    Article  ADS  Google Scholar 

  • Vinokur, M.: 1965, Ann. Astrophys. 28, 412.

    ADS  MathSciNet  Google Scholar 

  • Ward, F. and Shapiro, R.: 1962, J. Geophys. Res. 67, 541.

    Article  ADS  MathSciNet  Google Scholar 

  • Woods, T. N., Prinz, D. K., Rottman, G. J., London, J., Crane, P. C., Cebula, R. P., Hilsenrath, E., Brueckner, G. E., Andrews, M. D., White, O. R., VanHoosier, M. E., Floyd, L. E., Herring, L. C., Knapp, B. G., Pankratz, C. K., and Reiser, P. A.: 1996, J. Geophys. Res. 101, 9541.

    Google Scholar 

  • Zhao, J.-H., Bower, G. C., and Goss, W. M.: 2001, Astrophys. J. 547, L29.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Crane, P.C. Applications of the DFT/CLEAN Technique to Solar Time Series. Sol Phys 203, 381–408 (2001). https://doi.org/10.1023/A:1013388300285

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013388300285

Keywords

Navigation