Performance analysis of the Karhunen–Loève Transform for artificial and astrophysical transmissions: denoizing and detection
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.
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.Attached Files
Published - staa694.pdf
Accepted Version - 2003.04243.pdf
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Additional details
- Alternative title
- Performance analysis of the Karhunen-Loève Transform for artificial and astrophysical transmissions: denoising and detection
- Eprint ID
- 103840
- Resolver ID
- CaltechAUTHORS:20200611-104416611
- 1.05.01.18.31
- Regione Autonoma della Sardegna
- Created
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2020-06-11Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field