Detecting multiple periodicities in observational data with the multifrequency periodogram - II. Frequency Decomposer, a parallelized time-series analysis algorithm

Abstract

This is a parallelized algorithm performing a decomposition of a noisy time series into a number of sinusoidal components. The algorithm analyses all suspicious periodicities that can be revealed, including the ones that look like an alias or noise at a glance, but later may prove to be a real variation. After selection of the initial candidates, the algorithm performs a complete pass through all their possible combinations and computes the rigorous multifrequency statistical significance for each such frequency tuple. The largest combinations that still survived this thresholding procedure represent the outcome of the analysis. The parallel computing on a graphics processing unit (GPU) is implemented through CUDA and brings a significant performance increase. It is still possible to run FREDEC solely on CPU in the traditional single-threaded mode, when no suitable GPU device is available. To verify the practical applicability of our algorithm, we apply it to an artificial time series as well as to some real-life exoplanetary radial-velocity data. We demonstrate that FREDEC can successfully reveal several known exoplanets. Moreover, it detected a new $9.8$-day variation in the Lick data for the five-planet system of 55 Cnc. It might indicate the existence of a small sixth planet in the 3:2 commensurability with the planet 55 Cnc b, although this detection is model-dependent and still needs a detailed verification.

Accepted by Astronomy & Computing; 13 pages. Accepted version v2 contains new section 7. The package can be downloaded at http://sourceforge.net/projects/fredec/

References in corpus (8)

• Assessing statistical significance of periodogram peaks
• Five Planets Orbiting 55 Cancri
• Efficient fitting of multiplanet Keplerian models to radial velocity and astrometry data
• The HARPS search for southern extra-solar planets XIX. Characterization and dynamics of the GJ876 planetary system
• Accounting for velocity jitter in planet search surveys
• Orbital structure of the GJ876 extrasolar planetary system, based on the latest Keck and HARPS radial velocity data
• Detecting multiple periodicities in observational data with the multi-frequency periodogram. I. Analytic assessment of the statistical significance
• Distinguishing between a true period and its alias, and other tasks of model discrimination

Cited by in corpus (10)

• The 55 Cancri Planetary System: Fully Self-Consistent N-body Constraints and a Dynamical Analysis
• Radial Velocity Data Analysis with Compressed Sensing Techniques
• Enhanced models for stellar Doppler noise reveal hints of a 13-year activity cycle of 55 Cancri
• Testing whether a signal is strictly periodic. Application to disentangling planets and stellar activity in radial velocities
• Keplerian periodogram for Doppler exoplanets detection: optimized computation and analytic significance thresholds
• The HADES RV Programme with HARPS-N at TNG XI. GJ 685 b: a warm super-Earth around an active M dwarf
• Biases in retrieving planetary signals in the presence of quasi-periodic stellar activity
• Discovering new worlds: a review of signal processing methods for detecting exoplanets from astronomical radial velocity data
• Information-based Preprocessing of PLC Data for Automatic Behavior Modeling
• The Multivariate Extension of the Lomb-Scargle Method