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

H. Y. Chang; S. J. Yoon; C. S. Choi

doi:10.1051/0004-6361:20020035

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

H. Y. Chang, S. J. Yoon, C. S. Choi

School of Earth System Sciences

Korea Institute for Advanced Study

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4 Scopus citations

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.

Original language	English
Pages (from-to)	L1-L4
Journal	Astronomy and Astrophysics
Volume	383
Issue number	1
DOIs	https://doi.org/10.1051/0004-6361:20020035
State	Published - 2002

Keywords

Cosmology: theory
Gamma rays: bursts
Methods: data analysis

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10.1051/0004-6361:20020035

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title = "A possible use of Fourier transform analysis method as a distance estimator",

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.",

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TY - JOUR

T1 - A possible use of Fourier transform analysis method as a distance estimator

AU - Chang, H. Y.

AU - Yoon, S. J.

AU - Choi, C. S.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - Cosmology: theory

KW - Gamma rays: bursts

KW - Methods: data analysis

UR - https://www.scopus.com/pages/publications/0036473454

U2 - 10.1051/0004-6361:20020035

DO - 10.1051/0004-6361:20020035

M3 - Article

AN - SCOPUS:0036473454

SN - 0004-6361

VL - 383

SP - L1-L4

JO - Astronomy and Astrophysics

JF - Astronomy and Astrophysics

IS - 1

ER -

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

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Keywords

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