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On the Accuracy of Frequency Determination by an Autoregressive Spectral Estimator*

Published online by Cambridge University Press:  12 April 2016

G. Kovács
G. Kovács*
Affiliation:
Konkoly Observatory, Hungary

Abstract

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The accuracy of frequency determination by a least squares technique for an autoregressive spectral estimator is studied and compared with the Fourier method. Using numerical tests the probability distribution function of the peak location is calculated. The autoregressive filter order is optimized in the sense of minimum variance of the peak location. Simple sinusoidal signals with additive Gaussian noise are considered and the effect of other components is only indicated. Generally, a filter order between 1/3 and 1/2 of the total data number and a not very dense data sampling, gives the most stable spectrum. The results are numerical.

Type
Research Article
Information
International Astronomical Union Colloquium , Volume 66: Problems of Solar and Stellar Oscillations , 1983 , pp. 123 - 128
Copyright
Copyright © Reidel 1983

Footnotes

*

Proceedings of the 66th IAU Colloquium: Problems in Solar and Stellar Oscillations, held at the Crimean Astrophysical Observatory, U.S.S.R., 1–5 September, 1981.

References

Berk, K.N.: 1974, Ann. Statistics 2, 489.Google Scholar
Burg, J.P.: 1975, ‘Maximum Entropy Spectral Analysis’, Ph.D. Thesis, Stanford University, Palo Alto, Calif.Google Scholar
Chen, W.Y. and Stegen, G.R.: 1974, J. Geophys. Res. 79, 3019.Google Scholar
Fougere, P.F.: 1977, J. Geophys. Res. 82, 1051.Google Scholar
Kovács, G.: 1981, Astrophys. Space Sci. 78, 175.Google Scholar
Kromer, R.E.: 1970, ‘Asymptotic Properties of the Autoregressive Spectral Estimator’; Ph.D. Thesis, Dept. of Statistics Tech. Rpt. No. 13, Stanford University, Stanford, Calif.Google Scholar
Kurtz, D.W.: 1980, Monthly Notices Roy. Astron. Soc. 193, 61.CrossRefGoogle Scholar
Pelt, J.: 1980, ‘Fequency Analysis of Astronomical Time Sequences’, Publication of Tartu Astrophysical Observatory.Google Scholar
Percy, J.R.: 1977, Monthly Notices Roy. Astron. Soc. 181, 647.CrossRefGoogle Scholar
Reid, J.S.: 1979, J. Geophys. Res. 84, 5289.CrossRefGoogle Scholar
Stock, J., Kunkel, W.E., Hesser, J.E., and Lasker, B.M.: 1972, Astron. Astrophys. 21, 249.Google Scholar
Stobie, R.S. and Shobbrook, R.R.: 1976, Monthly Notices Roy. Astron. Soc. 174, 401.CrossRefGoogle Scholar
Swingler, D.N.: 1979, J. Geophys. Res. 84, 679.Google Scholar
Ulrych, T.J. and Clayton, R.W.: 1976, Phys. Earth Planet. Inter. 12, 188.Google Scholar
Ulrych, T.J. and Ooe, M.: 1979, in Haykin, S. (ed.), Nonlinear Methods of Spectral Analysis, Topics in Applied Physics, Springer-Verlag, Berlin, Heidelberg, New York, 1979, Vol. 34, p. 81.Google Scholar