Determination of Cycle Length of Quasi-Periodic Signals. Application to Semiregular Variables

TL;DR

This paper reviews methods for determining the cycle length of low-coherence quasi-periodic signals, with applications to semi-regular red variables and cataclysmic variables, exemplified by AF Cygni.

Contribution

It provides a comprehensive review of techniques for analyzing quasi-periodic signals and demonstrates their application to astrophysical data.

Findings

Effective methods for cycle length determination are discussed.

Application to AF Cygni illustrates practical use.

Insights into semi-regular variable star variability patterns.

Abstract

We review methods for determination of "quasi-periods" (or "cycle length") of signals of low coherence. Such type of variability was called "cyclic" for semi-regular red variables, or "quasi-periodic oscillations" (QPO) for fast variability in cataclysmic variables and related objects. Methods are illustrated by application to AF Cygni.