Understanding the Lomb-Scargle Periodogram

被引：832
作者：
VanderPlas, Jacob T. [1 ]
机构：
[1] Univ Washington, eSci Inst, 3910 15th Ave NE, Seattle, WA 98195 USA
来源：
ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES | 2018年 / 236卷 / 01期
关键词：
methods: data analysis; methods: statistical; TIME-SERIES ANALYSIS; UNEQUALLY-SPACED DATA; RR LYRAE STARS; SPECTRAL-ANALYSIS; NYQUIST FREQUENCY; PERIODIC SIGNALS; VARIABLE-STARS; LIGHT CURVES; SAMPLED-DATA; RED NOISE;
D O I：
10.3847/1538-4365/aab766
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The Lomb-Scargle periodogram is a well-known algorithm for detecting and characterizing periodic signals in unevenly sampled data. This paper presents a conceptual introduction to the Lomb-Scargle periodogram and important practical considerations for its use. Rather than a rigorous mathematical treatment, the goal of this paper is to build intuition about what assumptions are implicit in the use of the Lomb-Scargle periodogram and related estimators of periodicity, so as to motivate important practical considerations required in its proper application and interpretation.
引用
收藏
页数：28
相关论文
共 80 条
[11]   The Lick planet search: Detectability and mass thresholds [J].
Cumming, A ;
Marcy, GW ;
Butler, RP .
ASTROPHYSICAL JOURNAL, 1999, 526 (02) :890-915
[12]   Detectability of extrasolar planets in radial velocity surveys [J].
Cumming, A .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2004, 354 (04) :1165-1176
[13]   Automated supervised classification of variable stars - I. methodology [J].
Debosscher, J. ;
Sarro, L. M. ;
Aerts, C. ;
Cuypers, J. ;
Vandenbussche, B. ;
Garrido, R. ;
Solano, E. .
ASTRONOMY & ASTROPHYSICS, 2007, 475 (03) :1159-1183
[14]   FOURIER-ANALYSIS WITH UNEQUALLY-SPACED DATA [J].
DEEMING, TJ .
ASTROPHYSICS AND SPACE SCIENCE, 1975, 36 (01) :137-158
[15]  
Delgado F., 2006, P SOC PHOTO-OPT INS, V6270, P1
[16]   THE CATALINA SURVEYS PERIODIC VARIABLE STAR CATALOG [J].
Drake, A. J. ;
Graham, M. J. ;
Djorgovski, S. G. ;
Catelan, M. ;
Mahabal, A. A. ;
Torrealba, G. ;
Garcia-Alvarez, D. ;
Donalek, C. ;
Prieto, J. L. ;
Williams, R. ;
Larson, S. ;
Sen, E. Christen ;
Belokurov, V. ;
Koposov, S. E. ;
Beshore, E. ;
Boattini, A. ;
Gibbs, A. ;
Hill, R. ;
Kowalski, R. ;
Johnson, J. ;
Shelly, F. .
ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 2014, 213 (01)
[17]   A PERIOD-FINDING METHOD FOR SPARSE RANDOMLY SPACED OBSERVATIONS OR HOW LONG IS A PIECE OF STRING [J].
DWORETSKY, MM .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1983, 203 (03) :917-924
[18]   THE DISCRETE CORRELATION-FUNCTION - A NEW METHOD FOR ANALYZING UNEVENLY SAMPLED VARIABILITY DATA [J].
EDELSON, RA ;
KROLIK, JH .
ASTROPHYSICAL JOURNAL, 1988, 333 (02) :646-659
[19]   Variable stars: Which Nyquist frequency? [J].
Eyer, L ;
Bartholdi, P .
ASTRONOMY & ASTROPHYSICS SUPPLEMENT SERIES, 1999, 135 (01) :1-3
[20]   ESTIMATION OF PERIODS FROM UNEQUALLY SPACED OBSERVATIONS [J].
FERRAZMELLO, S .
ASTRONOMICAL JOURNAL, 1981, 86 (04) :619-624
12345678