High Resolution Spectral Analysis for Irregularly Sampled Helioseismic Data

Astronomy and Astrophysics – Astrophysics

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Scientific paper

Astronomical ground based data are very often irregularly sampled due to many factors such as: diurnal effect, weather conditions, etc. The analysis of such data cannot be performed with classical tools (such as periodigram) and new adapted methods are required. After presenting some of these techniques, we will focus on a regularized approach of the spectral analysis problem, which gives very good results in the case of band limited and narrow peaks spectrum. We will also show that with this approach we can achieve high-resolution spectra. Indeed, in classical Fourier analysis, spectral resolution is inversely proportional to the observation time T. Considering the spectral analysis problem as an inverse problem and introducing the “a priori” knowledge of band limited and narrow peak spectrum, this limit (1/T) can be exceeded and thus we can achieve highly resolved spectra, even with irregularly sampled data. This technique will be first applied to relevant simulated data, then to helioseismic data. Additional talk: “Brief description of solar projects in Algiers Observatory” A brief description of all projects developed in our department and that are related to the sun: helioseismology, solar data analysis (pipelines description), solar activity, VLF project, solar astrolabe (for solar diameter measurement), site testing for day-time observations, and the project of solar observatory in the Tamanrasset area.

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