Studies in Astronomical Time Series Analysis: The Double Lomb-Scargle Periodogram and Super Resolution
NASA Ames Research Center（NASA 艾姆斯研究中心）；Julius-Maximilians-Universität Würzburg（维尔茨堡大学）；Stanford University（斯坦福大学）；Institut de Física d’Altes Energies (IFAE)（高能物理研究所 (IFAE)）；The Barcelona Institute of Science and Technology (BIST)（巴塞罗那科学技术研究院 (BIST)）
Jeffrey D. Scargle, Sarah Wagner
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12 pages, plus 9 pages in appendices, 9+1 figures, submitted to Astrophysical Journal Letters
Multiple-frequency periodograms -- based on time series models consisting of two or more independent sinusoids -- have long been discussed. What is new here is the presentation of a practical, simple-to-use computational framework implementing this concept. Our algorithms have super resolution that evades the Rayleigh criterion, as well as provision for statistical weighting and tapering. They can be used for essentially any time series (e.g. time-tagged events or point measurements) with arbitrary sampling -- even or uneven. Examples of super resolution of synthetic data, sunspot numbers, and the rich pulsations of white dwarf J0135+5722, demonstrate practical applications. Appendices derive generalized periodograms using an arbitrary number of arbitrary basis functions (following Bretthorst, 1988)and define several examples of non-sinusoidal bases for these ``omnigrams.'' Application beyond the frequency domain is demonstrated with an autoregressive model exhibiting super resolution in the time domain. A GitHub repository containing omnigram code, and symbolic algebra scripts for generating it, will soon be available.
A Multi-instrument Generalized Lomb-Scargle Periodogram Implementation
Max-Planck-Institut für Astronomie（马克斯·普朗克天文学研究所）；Fakultät für Physik und Astronomie, Universität Heidelberg（海德堡大学物理与天文学院）；Department of Astronomy, Universidade de São Paulo（圣保罗大学天文学系）；Space Telescope Science Institute（太空望远镜科学研究所）；William H. Miller III Department of Physics and Astronomy, Johns Hopkins University（约翰斯·霍普金斯大学威廉·H·米勒三世物理与天文系）
本文提出一种多仪器广义 Lomb-Scargle 周期图（GLS）的闭式实现，将其应用于热木星 TOI-481 b 的径向速度数据，能更高显著性地恢复其周期，代码已在 GitHub 开源。
Robust 1-norm periodograms for analysis of noisy non-Gaussian time series with irregular cadences: Application to VLBI astrometry of quasars
United States Naval Observatory（美国海军天文台）；SYRTE, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, LNE（巴黎天文台时间频率研究所，巴黎大学，PSL大学，法国国家科学研究中心，索邦大学，法国计量院）
Modern Time-Series and Spectral Methods for Analyzing Solar and Stellar Oscillatory Signals
School of Aerospace, Harbin Institute of Technology, Shenzhen（哈尔滨工业大学（深圳）航天学院）；Faculty of Information Engineering and Automation, Kunming University of Science and Technology（昆明理工大学信息工程与自动化学院）
