The application of Bayesian spectral analysis in photometric time series

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latifiyan Saeedeh; SAFARI H.; SAFAEI A.

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Journal: Iranian Journal of Physics Research Year:2017 | Volume:17 | Issue:4 Page(s): 541-551

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Information Journal Paper

Title

The application of Bayesian spectral analysis in photometric time series

Author(s)

latifiyan Saeedeh | SAFARI H. | SAFAEI A. | Issue Writer Certificate

Keywords

Bayesian spectral analysisQ1

Bayes’theoremQ1

Period04 softwareQ1

power spectrumQ1

variable starQ1

light curveQ2

Abstract

The present paper introduces the Bayesian spectral analysis as a powerful and efficient method for spectral analysis of photometric time series. For this purpose, Bayesian spectral analysis is programmed in Matlab software for XZ Dra photometric time series which are non-uniform containing large gaps. Then, the power spectrum of this analysis is compared with the power spectrum obtained from the Period04 software, designed for statistical analysis of astronomical time series, which uses artificial data for unifying the time series. Although in the power spectrum of this software, the main spectral peak which represents the main frequency of XZ Dra variable star oscillations in the f = 2. 09864 (day-1) is well detected, but false spectral peaks are also seen. Also, in this software, it is not clear how to generate the synthetic data. These false peaks have been removed in the power spectrum obtained from the Bayesian analysis; also this spectral peak around the desired frequency has a shorter width and is more accurate. It should be noted that in Bayesian spectral analysis, it is not necessary to unify the time series for obtaining a desired power spectrum. Moreover, the researcher also becomes aware of the exact calculation process.

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APA: Copy

latifiyan, Saeedeh, SAFARI, H., & SAFAEI, A.. (2017). The application of Bayesian spectral analysis in photometric time series. IRANIAN JOURNAL OF PHYSICS RESEARCH, 17(4 ), 541-551. SID. https://sid.ir/paper/2045/en

Vancouver: Copy

latifiyan Saeedeh, SAFARI H., SAFAEI A.. The application of Bayesian spectral analysis in photometric time series. IRANIAN JOURNAL OF PHYSICS RESEARCH[Internet]. 2017;17(4 ):541-551. Available from: https://sid.ir/paper/2045/en

IEEE: Copy

Saeedeh latifiyan, H. SAFARI, and A. SAFAEI, “The application of Bayesian spectral analysis in photometric time series,” IRANIAN JOURNAL OF PHYSICS RESEARCH, vol. 17, no. 4 , pp. 541–551, 2017, [Online]. Available: https://sid.ir/paper/2045/en

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