IWAVE—An adaptive filter approach to phase lock and the dynamic characterization of pseudo-harmonic waves

Creators: Daw, E. J.; Hollows, I. J.; Jones, E. L.; Kennedy, R.; Mistry, T.; Edo, T. B.; Fays, M.; Sun, L.

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Abstract

We present a novel adaptive filtering approach to the dynamic characterization of waves of varying frequencies and amplitudes embedded in arbitrary noise backgrounds. This method, known as IWAVE (Iterative Wave Action angle Variable Estimator), possesses critical advantages over conventional techniques, making it a useful new tool in the dynamic characterization of a wide range of data containing embedded oscillating signals. After a review of existing techniques, we present the IWAVE algorithm, derive its key characteristics, and provide tests of its performance using simulated and real world data.

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© 2022 Author(s). Published under an exclusive license by AIP Publishing. Submitted: 6 September 2021; Accepted: 30 March 2022; Published Online: 19 April 2022. The members of the Sheffield gravitational wave research group acknowledge the support of the Science and Technology Facilities Council under Grant Nos. ST/V005693/1, ST/V001752/1, ST/V001744/1, ST/V001019/1, and ST/R000336/1. I.J.H. was supported by the Hollows Scientific Foundation. L.S. acknowledges the support of the Australian Research Council Centre of Excellence for Gravitational Wave Discovery (OzGrav), Project No. CE170100004, the United States National Science Foundation, and the LIGO Laboratory. M.F. acknowledges the support of the Fonds de la Recherche Scientifique-FNRS, Belgium, under Grant No. 4.4501.19. This research has made use of data, software, and/or web tools obtained from the Gravitational Wave Open Science Center (https://www.gw-openscience.org/), a service of the LIGO Laboratory, the LIGO Scientific Collaboration, and the Virgo Collaboration. The LIGO Laboratory and Advanced LIGO are funded by the United States National Science Foundation (NSF) as well as the Science and Technology Facilities Council (STFC) of the United Kingdom, the Max-Planck-Society (MPS), and the State of Niedersachsen/Germany for support of the construction of Advanced LIGO and construction and operation of the GEO600 detector. Additional support for Advanced LIGO was constructed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the United States National Science Foundation and operates under cooperative Agreement No. PHY-1764464. Advanced LIGO was built under Grant No. PHY-0823459. Additional support for Advanced LIGO was provided by the Australian Research Council. Virgo is funded through the European Gravitational Observatory (EGO) by the French Centre National de Recherche Scientifique (CNRS), the Italian Istituto Nazionale di Fisica Nucleare (INFN), and the Dutch Nikhef with contributions by institutions from Belgium, Germany, Greece, Hungary, Ireland, Japan, Monaco, Poland, Portugal, and Spain. The authors have no conflicts to disclose. Data Availability: The data that support the findings of this study are available at Ref. 38. The data for the performance tests discussed in Sec. IV can be obtained from the LIGO open data center web site.

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