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Performance analysis of the Karhunen–Loève Transform for artificial and astrophysical transmissions: denoizing and detection

Trudu, Matteo and Pilia, Maura and Hellbourg, Gregory and Pari, Pierpaolo and Antonietti, Nicolò and Maccone, Claudio and Melis, Andrea and Perrodin, Delphine and Trois, Alessio (2020) Performance analysis of the Karhunen–Loève Transform for artificial and astrophysical transmissions: denoizing and detection. Monthly Notices of the Royal Astronomical Society, 494 (1). pp. 69-83. ISSN 0035-8711. https://resolver.caltech.edu/CaltechAUTHORS:20200611-104416611

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Abstract

In this work, we propose a new method of computing the Karhunen–Loève Transform (KLT) applied to complex voltage data for the detection and noise level reduction in astronomical signals. We compared this method with the standard KLT techniques based on the Toeplitz correlation matrix and we conducted a performance analysis for the detection and extraction of astrophysical and artificial signals via Monte Carlo (MC) simulations. We applied our novel method to a real data study-case: the Voyager 1 telemetry signal. We evaluated the KLT performance in an astrophysical context: our technique provides a remarkable improvement in computation time and MC simulations show significant reconstruction results for signal-to-noise ratio (SNR) down to −10 dB and comparable results with standard signal detection techniques. The application to artificial signals, such as the Voyager 1 data, shows a notable gain in SNR after the KLT.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1093/mnras/staa694DOIArticle
https://arxiv.org/abs/2003.04243arXivDiscussion Paper
ORCID:
AuthorORCID
Trudu, Matteo0000-0002-1530-0474
Pari, Pierpaolo0000-0003-4209-6533
Alternate Title:Performance analysis of the Karhunen-Loève Transform for artificial and astrophysical transmissions: denoising and detection
Additional Information:© 2020 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society. This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model). Accepted 2020 March 6. Received 2020 February 28; in original form 2020 January 20. Published: 13 March 2020. MT, MP, and AT acknowledge support from the Regione Autonoma della Sardegna through project funding ‘Development and implementation of innovative mathematical algorithms for the study of Fast Radio Bursts’, C.R.P. 127, Ob. Fu. 1.05.01.18.31. The authors thank the Berkeley SETI Research Center and the Breakthrough Listen group at University California Berkeley for providing the Voyager I data. The authors appreciate the unknown referee’s comments which significantly contributed to improving the quality of the publication.
Funders:
Funding AgencyGrant Number
Regione Autonoma della Sardegna1.05.01.18.31
Subject Keywords:methods: numerical – space vehicles – pulsars: general – radio lines: general
Issue or Number:1
Record Number:CaltechAUTHORS:20200611-104416611
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200611-104416611
Official Citation:Matteo Trudu, Maura Pilia, Gregory Hellbourg, Pierpaolo Pari, Nicolò Antonietti, Claudio Maccone, Andrea Melis, Delphine Perrodin, Alessio Trois, Performance analysis of the Karhunen–Loève Transform for artificial and astrophysical transmissions: denoizing and detection, Monthly Notices of the Royal Astronomical Society, Volume 494, Issue 1, May 2020, Pages 69–83, https://doi.org/10.1093/mnras/staa694
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103840
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Jun 2020 18:04
Last Modified:11 Jun 2020 18:04

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