Anti-leakage least-squares spectral analysis

Traditional spectral analysis methods, such as the Fourier method, and Lomb and Vanicek methods have shown promising results in many experiments. However, since in many practical applications measurements are not equally sampled over time, the problem of spectral leakages still remains in the spectrum, and so the signals cannot be accurately estimated. The anti-leakage least-squares spectral analysis is an improved method that accurately estimates the signals simultaneously in an iterative procedure

This method has shown much better results in many experiments. Here, we mention a few critical projects that our team has successfully completed recently using this technique

In seismology, regularly sampled seismic data are required for various purposes including wave-equation-migration, seismic inversion, amplitude versus azimuth or offset analyses, and surface-related multiple-elimination. The proposed anti-leakage spectral method can be applied to regularize seismic data rigorously

2D visualization of a marine seismic survey
Image Credit: E. Ghaderpour

In astronomy and astrophysics, analyzing the light curves provided by telescopes can provide useful information about our universe. For instance, estimating the orbital and spin periods of star systems, as well as masses and radii of stars. The proposed anti-leakage spectral method also has shown promising results in these areas

A binary star system

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