A possible use of Fourier Transform analysis method as a distance estimator

Free access article

Issue		A&A Volume 383, Number 1, February III 2002


Page(s)		L1 - L4
Section		Letters
DOI		http://dx.doi.org/10.1051/0004-6361:20020035

A&A 383, L1-L4 (2002)
DOI: 10.1051/0004-6361:20020035

Letter

A possible use of Fourier Transform analysis method as a distance estimator

H.-Y. Chang¹, S.-J. Yoon² and C.-S. Choi³

¹ Korea Institute for Advanced Study 207-43 Cheongryangri-dong, Dongdaemun-gu, Seoul 130-012, Korea
    e-mail: hyc@ns.kias.re.kr
² Center for Space Astrophysics and Department of Astronomy Yonsei University, 134 Shinchon-dong Seodaemun-gu, Seoul 120-749, Korea
    e-mail: sjyoon@csa.yonsei.ac.kr
³ Korea Astronomy Observatory 36-1 Hwaam-dong, Yusong-gu, Taejon 305-348, Korea
    e-mail: cschoi@kao.re.kr

(Received 26 September 2001 / Accepted 6 November 2001)

Abstract
We speculate on the possibility of using the Fourier transform analysis method as a distance estimator of the observed gamma-ray bursts (GRBs). It is based on a hypothetical empirical relation between the redshift and the power-law index of power density spectra (PDSs) of the observed GRBs. This relation is constructed by using the fact that the observed power-law index is dependent upon a characteristic timescale of GRB light curves. The rms error of redshift estimates is 0.42 for an empirical relation obtained with the 7 long ( T₉₀ > 15) GRBs observed by the BATSE whose redshift information is available. We attempt to determine the spatial distribution of the GRBs observed by the BATSE as a function of redshifts on the basis of the resulting redshift estimator. We discuss possible uncertainties of the suggested method.

Key words: cosmology: theory -- gamma rays: bursts -- methods: data analysis

Offprint request: H.-Y. Chang, hyc@kias.re.kr

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