Understanding the Lomb–Scargle Periodogram

Astrophysical Journal, Supplement Series - Tập 236 Số 1 - Trang 16 - 2018
Jake Vanderplas1
1University of Washington, eScience Institute, 3910 15th Ave NE, Seattle WA 98195

Tóm tắt

Abstract

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.

Từ khóa


Tài liệu tham khảo

Anderson, 1971

Angus, 2016, ApJ, 818, 109, 10.3847/0004-637X/818/2/109

Astropy Collaboration, 2013, A&A, 558, A33, 10.1051/0004-6361/201322068

Baluev, 2008, MNRAS, 385, 1279, 10.1111/j.1365-2966.2008.12689.x

Bretthorst, 1988, 10.1007/978-1-4684-9399-3

Bretthorst, 2001, 241

Bretthorst, 2003, 309

Cumming, 2004, MNRAS, 354, 1165, 10.1111/j.1365-2966.2004.08275.x

Cumming, 1999, ApJ, 526, 890, 10.1086/308020

Debosscher, 2007, A&A, 475, 1159, 10.1051/0004-6361:20077638

Deeming, 1975, Ap&SS, 36, 137, 10.1007/BF00681947

Delgado, 2006, Proc. SPIE, 6270, 1, 10.1117/12.671992

Drake, 2014, ApJS, 213, 9, 10.1088/0067-0049/213/1/9

Dworetsky, 1983, MNRAS, 203, 917, 10.1093/mnras/203.4.917

Edelson, 1988, ApJ, 333, 646, 10.1086/166773

Eyer, 1999, A&AS, 135, 1, 10.1051/aas:1999102

Ferraz-Mello, 1981, AJ, 86, 619, 10.1086/112924

Foster, 1996, AJ, 112, 1709, 10.1086/118137

Frescura, 2008, MNRAS, 388, 1693, 10.1111/j.1365-2966.2008.13499.x

Gilliland, 1987, ApJ, 314, 766, 10.1086/165103

Gottlieb, 1975, ApJL, 195, L33, 10.1086/181703

Graham, 2013a, MNRAS, 434, 3423, 10.1093/mnras/stt1264

Graham, 2013b, MNRAS, 434, 2629, 10.1093/mnras/stt1206

Gregory, 2001, 557

Gregory, 1992, ApJ, 398, 146, 10.1086/171844

Hilditch, 2001, 392, 10.1017/CBO9781139163576

Horne, 1986, ApJ, 302, 757, 10.1086/164037

Huijse, 2012, ITSP, 60, 5135, 10.1109/TSP.2012.2204260

Huijse, 2011, ISPL, 18, 371, 10.1109/LSP.2011.2141987

Hunter, 2007, CSE, 9, 90, 10.1109/MCSE.2007.55

Irwin, 1989, PASP, 101, 147, 10.1086/132415

Ivezić, 2014, 10.23943/princeton/9780691151687.001.0001

Ivezić, 2008

Jaynes, 2003, 10.1017/CBO9780511790423

Jaynes, 1987, 1

Keiner, 2009, ACM Trans. Math. Softw., 36, 19, 10.1145/1555386.1555388

Kelly, 2014, ApJ, 788, 33, 10.1088/0004-637X/788/1/33

Koen, 2006, MNRAS, 371, 1390, 10.1111/j.1365-2966.2006.10762.x

Kolenberg, 2010, ApJL, 713, L198, 10.1088/2041-8205/713/2/L198

Leroy, 2012, A&A, 545, A50, 10.1051/0004-6361/201219076

Lomb, 1976, Ap&SS, 39, 447, 10.1007/BF00648343

Long, 2016, AnApS, 10, 165, 10.1214/15-AOAS885

McKinney, 2010, 51

McQuillan, 2012, A&A, 539, A137, 10.1051/0004-6361/201016148

Mortier, 2015, A&A, 573, A101, 10.1051/0004-6361/201424908

Oliphant, 2015, 2nd ed.

Oluseyi, 2012, AJ, 144, 9, 10.1088/0004-6256/144/1/9

Palaversa, 2013, AJ, 146, 101, 10.1088/0004-6256/146/4/101

Palmer, 2009, ApJ, 695, 496, 10.1088/0004-637X/695/1/496

Percy, 1986

Press, 1989, ApJ, 338, 277, 10.1086/167197

Press, 2007, 3rd ed

Reimann, 1994

Richards, 2012, ApJS, 203, 32, 10.1088/0067-0049/203/2/32

Ridgway, 2012, Proc. SPIE, 8448, 10, 10.1117/12.926306

Roberts, 1987, AJ, 93, 968, 10.1086/114383

Scargle, 1982, ApJ, 263, 835, 10.1086/160554

Scargle, 1989, ApJ, 343, 874, 10.1086/167757

Scargle, 1998, ApJ, 504, 405, 10.1086/306064

Scargle, 2002, 23

Schuster, 1898, TeMag, 3, 13, 10.1029/TM003i001p00013

Schwarzenberg-Czerny, 1989, MNRAS, 241, 153, 10.1093/mnras/241.2.153

Schwarzenberg-Czerny, 1996, ApJL, 460, L107, 10.1086/309985

Schwarzenberg-Czerny, 1998, MNRAS, 301, 831, 10.1111/j.1365-8711.1998.02086.x

Schwarzenberg-Czerny, 1999, ApJ, 516, 315, 10.1086/307081

Sesar, 2010, ApJ, 708, 717, 10.1088/0004-637X/708/1/717

Sesar, 2013, ApJ, 776, 26, 10.1088/0004-637X/776/1/26

Sesar, 2011, AJ, 142, 190, 10.1088/0004-6256/142/6/190

Stellingwerf, 1978, ApJ, 224, 953, 10.1086/156444

Suveges, 2012, 16

Swingler, 1989, AJ, 97, 280, 10.1086/114981

van der Walt, 2011, CSE, 13, 22, 10.1109/MCSE.2011.37

VanderPlas, 2015

Vaughan, 2005, A&A, 431, 391, 10.1051/0004-6361:20041453

Vaughan, 2010, MNRAS, 402, 307, 10.1111/j.1365-2966.2009.15868.x

Vaughan, 2003, MNRAS, 345, 1271, 10.1046/j.1365-2966.2003.07042.x

Vetterli, 2014, 10.1017/CBO9781139839099

Vio, 2010, A&A, 519, A85, 10.1051/0004-6361/201014079

Wang, 2012, ApJ, 756, 67, 10.1088/0004-637X/756/1/67

Zechmeister, 2009, A&A, 496, 577, 10.1051/0004-6361:200811296

Thông tin
Thông tin xuất bản

Astrophysical Journal, Supplement Series

Tập 236 Số 1

16

Thông tin tác giả