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Analysis of the 5 min oscillatory photospheric motion

II: Statistical analysis of the oscillation as a narrow-band random process

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Abstract

A more objective statistical technique is applied directly to the four time series used in Paper I. The empirical probability density functions indicate that the measurements are realizations of a narrow-band random process with Gaussian statistics. This result allows quantitative statistical use of the mean autocorrelation function. For example, a characteristic correlation time is 23 min, and the motion becomes statistically uncorrelated over intervals greater than 40 min. The mean autocorrelation function is found to be free of secondary maxima that have been so troublesome in other analyses. The question raised in this paper is whether our statistical model of the motion as a Gaussian random process is also applicable to smaller regions on the order of 1″ to 2″ in size.

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References

  • Beckman, P.: 1967, Probability in Communication Engineering, Harcourt, Brace and World, N.Y.

    Google Scholar 

  • Bhattacharyya, J. C.: 1972, Solar Phys. 24, 275.

    Google Scholar 

  • Brault, J. W. and White, O. R.: 1971, Astron. Astrophys. 13, 169.

    Google Scholar 

  • Frazier, E. N.: 1968, Astrophys. J. 152, 557.

    Google Scholar 

  • Howard, R.: 1967, Solar Phys. 2, 1.

    Google Scholar 

  • Lawson, J. L. and Uhlenbeck, G. W.: 1950, Threshold Signals, MIT Rad. Lab. Series 24, McGraw-Hill, N.Y.

    Google Scholar 

  • Middleton, D.: 1960, An Introduction to Statistical Communication Theory, McGraw-Hill, N.Y.

    Google Scholar 

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

    Google Scholar 

  • Stein, S. and Jones, J.: 1967, Modern Communications Principles, McGraw-Hill, N.Y.

    Google Scholar 

  • Uhlenbeck, G. E.: 1965, Lectures in Stochastic Processes, Univ. of Colo.

  • White, O. R. and Cha, M. Y.: 1973, Solar Phys. 31, 23.

    Google Scholar 

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The National Center for Atmospheric Research is sponsored by the National Science Foundation.

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Cha, M.Y., White, O.R. Analysis of the 5 min oscillatory photospheric motion. Sol Phys 31, 55–74 (1973). https://doi.org/10.1007/BF00156072

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  • DOI: https://doi.org/10.1007/BF00156072

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