The Art of Fitting P-Mode Spectra

Abstract

For deriving p-mode parameters from m , v diagrammes, one has to treat correctly the statistics of the observation. The correct statistical treatment of these diagrammes was first achieved by Schou (1992) (PhD thesis, Aarhus University). Fitting p-mode spectra requires 4 major steps: 1. Compute the mode leakage matrices 2. Compute mode covariance matrices from the previous matrices 3. Compute the noise covariance matrices 4. Compute and maximize the likelihood of the observation