USuRPER: Unit-Sphere Representation PERiodogram for full spectra
Avraham Binnenfeld, Sahar Shahaf, Shay Zucker

TL;DR
USuRPER is a novel high-dimensional spectral analysis technique that detects periodic variability in astronomical spectra by representing spectra as unit vectors, enabling analysis of complex spectral changes over time.
Contribution
It extends the phase-distance correlation periodogram to high-dimensional spectral data, allowing shape-based variability detection without reducing spectra to single parameters.
Findings
Effective in detecting variability in binary and pulsating stars
Demonstrated on both simulated and real spectra
Provides a publicly available Python implementation
Abstract
We introduce an extension of the periodogram concept to time-resolved spectroscopy. USuRPER -- Unit Sphere Representation PERiodogram -- is a novel technique which opens new horizons in the analysis of astronomical spectra. It can be used to detect a wide range of periodic variability of the spectrum shape. Essentially, the technique is based on representing spectra as unit vectors in a multidimensional hyperspace, hence its name. It is an extension of the phase-distance correlation (PDC) periodogram we had introduced in previous papers, to very high-dimensional data like spectra. USuRPER takes into account the overall shape of the spectrum, sparing the need to reduce it into a single quantity like radial velocity or temperature. Through simulations we demonstrate its performance in various types of spectroscopic variability -- single-lined and double-lined spectroscopic binary stars…
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