False positives are common in single-station template matching

Template matching has become a cornerstone technique of observational seismology. By taking known events, and scanning them against a continuous record, new events smaller than the signal-to-noise ratio can be found, substantially improving the magnitude of completeness of earthquake catalogues. Tem...

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Main Authors: Muir, JB, Fernando, B, Barrett, E
Format: Journal article
Language:English
Published: Seismica 2023
Subjects:
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author Muir, JB
Fernando, B
Barrett, E
author_facet Muir, JB
Fernando, B
Barrett, E
author_sort Muir, JB
collection OXFORD
description Template matching has become a cornerstone technique of observational seismology. By taking known events, and scanning them against a continuous record, new events smaller than the signal-to-noise ratio can be found, substantially improving the magnitude of completeness of earthquake catalogues. Template matching is normally used in an array setting, however as we move into the era of planetary seismology, we are likely to apply template matching for very small arrays or even single stations. Given the high impact of planetary seismology studies on our understanding of the structure and dynamics of non-Earth bodies, it is important to assess the reliability of template matching in the small-n setting. Towards this goal, we estimate a lower bound on the rate of false positives for single-station template matching by examining the behaviour of correlations of totally uncorrelated white noise. We find that, for typical processing regimes and match thresholds, false positives are likely quite common. We must therefore be exceptionally careful when considering the output of template matching in the small-n setting.
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spelling oxford-uuid:61568f5a-bf53-4882-ac72-fc9532b822ac2023-10-25T17:32:13ZFalse positives are common in single-station template matchingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:61568f5a-bf53-4882-ac72-fc9532b822acEarth sciencesPhysical sciencesGeologyEnglishSymplectic ElementsSeismica2023Muir, JBFernando, BBarrett, ETemplate matching has become a cornerstone technique of observational seismology. By taking known events, and scanning them against a continuous record, new events smaller than the signal-to-noise ratio can be found, substantially improving the magnitude of completeness of earthquake catalogues. Template matching is normally used in an array setting, however as we move into the era of planetary seismology, we are likely to apply template matching for very small arrays or even single stations. Given the high impact of planetary seismology studies on our understanding of the structure and dynamics of non-Earth bodies, it is important to assess the reliability of template matching in the small-n setting. Towards this goal, we estimate a lower bound on the rate of false positives for single-station template matching by examining the behaviour of correlations of totally uncorrelated white noise. We find that, for typical processing regimes and match thresholds, false positives are likely quite common. We must therefore be exceptionally careful when considering the output of template matching in the small-n setting.
spellingShingle Earth sciences
Physical sciences
Geology
Muir, JB
Fernando, B
Barrett, E
False positives are common in single-station template matching
title False positives are common in single-station template matching
title_full False positives are common in single-station template matching
title_fullStr False positives are common in single-station template matching
title_full_unstemmed False positives are common in single-station template matching
title_short False positives are common in single-station template matching
title_sort false positives are common in single station template matching
topic Earth sciences
Physical sciences
Geology
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AT barrette falsepositivesarecommoninsinglestationtemplatematching