Multi-harmonic and special shape/pattern/template approximations of discrete signals with generally irregular arguments

2025/04/15 by И. Л. Андронов, Andronov, Ivan L., Hanna M. Akopian +15
Earth and Planetary Sciences · Physics and Astronomy · #Geophysics and Gravity Measurements #Statistical Mechanics and Entropy #Stellar, planetary, and galactic studies

paper · pdf · doi:10.48550/arxiv.2504.11518

Abstract

The invited review of own algorithms and software (MAVKA and MCV) for the data analysis of astronomical signals - irregularly spaced, multi-periodic multi-harmonic, periodogram analysis and approximations with taking into account a polynomial trend simultaneously, instead of commonle used detrending and prewhitening. The references to original papers are listed.

Citations

• MAVKA: Program of statistically optimal determination of phenomenological parameters of extrema. Parabolic spline algorithm and analysis of variability of the semi-regular star Z UMa
• Statistically Optimal Modeling of Flat Eclipses and Exoplanet Transitions. The "Wall-Supported Polynomial" (WSP) Algoritms
• Phase Plane Analysis of the Photometrical Variations of Long-Period Variables
• Phenomenological Parameters of the Prototype Eclipsing Binaries Algol, β Lyrae and W UMa
• Comparative Analysis of Phenomenological Approximations of the Light Curves of Eclipsing Binary Stars with Additional Parameters
• Periodicities of the RV Tau-type pulsating star DF Cygni: a combination of Kepler data with ground-based observations
• Phenomenological modelling of eclipsing system light curves
• "Asymptotic Parabola" Fits for Smoothing Generally Asymmetric Light Curves
• Phenomenological Modeling of the Light Curves of Algol-Type Eclipsing Binary Stars
• Idling magnetic white dwarf in the synchronizing polar BY Cam. The Noah-2 project

Related

• Improvement of Simplified Models of Variability of Stars: A review
• Program WWZ: Wavelet Analysis of Astronomical Signals With Irregularly Spaced Arguments
• Studies in astronomical time series analysis. II - Statistical aspects of spectral analysis of unevenly spaced data
• The spectral resolving power of irregularly sampled time series
• Improving Harmonic Analysis using Multitapering: Precise frequency estimation of stellar oscillations using the harmonic F-test