2020/12/22 by C. E. Ferreira Lopes, N. J. G. Cross, F. Jablonski
Economics, Econometrics and Finance · Environmental Science · Mathematics · Physics and Astronomy · #Algorithm #Amplitude #Artificial intelligence #Astrophysics #Climate variability and models #Complex Systems and Time Series Analysis #Computer science #Flux (metallurgy) #Image (mathematics) #Light curve #Mathematical analysis #Mathematics #Noise (video) #Optics #Panchromatic film #Physics #Plant Water Relations and Carbon Dynamics #Series (stratigraphy) #Smoothness #Statistical physics #Statistics #Time series #astro-ph.IM #astro-ph.SR
paper · pdf · doi:10.1093/mnras/staa3967
14 pages, 7 figures
openalex publication_date 2020/12/22 · arxiv created 2021/01/04 · arxiv updated 2021/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
ABSTRACT New time-series analysis tools are needed in disciplines as diverse as astronomy, economics, and meteorology. In particular, the increasing rate of data collection at multiple wavelengths requires new approaches able to handle these data. The panchromatic correlated indices K(s)(fi) and L(s)(pfc) are adapted to quantify the smoothness of a phased light-curve resulting in new period-finding methods applicable to single- and multiband data. Simulations and observational data are used to test our approach. The results were used to establish an analytical equation for the amplitude of the noise in the periodogram for different false alarm probability values, to determine the dependency on the signal-to-noise ratio, and to calculate the yield rate for the different methods. The proposed method has similar efficiency to that found for the string length period method. The effectiveness of the panchromatic and flux-independent period finding methods in single as well as multiple wavebands that share a fundamental frequency is also demonstrated in real and simulated data.