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An explicit relationship between time-domain noise correlation and spatial autocorrelation (SPAC) results

Tsai, Victor C. and Moschetti, Morgan P. (2010) An explicit relationship between time-domain noise correlation and spatial autocorrelation (SPAC) results. Geophysical Journal International, 182 (1). pp. 454-460. ISSN 0956-540X. http://resolver.caltech.edu/CaltechAUTHORS:20140612-071051007

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Abstract

The success of recent ambient noise tomographic studies is now understood to arise due to cross-correlation properties documented in the acoustics community since the 1950s. However, despite the fact that Aki's 1957 spatial autocorrelation (SPAC) work yields identical analytical results to certain noise correlation results, the precise relationship between SPAC and time-domain cross-correlation remains not entirely transparent. Here, we present an explicit comparison of the two approaches and clarify that SPAC theory is indeed equivalent to the cross-correlation theory used for recent noise tomography studies. This equivalence allows theoretical work from each field to be applied to the other, and we illustrate a few examples of this.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1111/j.1365-246X.2010.04633.xDOIArticle
http://gji.oxfordjournals.org/content/182/1/454PublisherArticle
ORCID:
AuthorORCID
Tsai, Victor C.0000-0003-1809-6672
Additional Information:No claim to original US government works. Journal compilation © 2010 RAS. Accepted 2010 April 18. Received 2010 April 7; in original form 2009 December 10. The authors would like to thank S. Hartzell, M. W. Asten, W. J. Stephenson, F. C. Lin, R. Snieder and D. E. McNamara for helpful discussions, and two anonymous reviewers for helpful comments. Seismograms were provided by IRIS. This research was supported by the Mendenhall Postdoctoral Fellowship program of the United States Geological Survey
Group:Seismological Laboratory
Funders:
Funding AgencyGrant Number
USGSUNSPECIFIED
Subject Keywords:Surface waves and free oscillations; Seismic tomography; Theoretical seismology; Wave propagation; Crustal structure
Record Number:CaltechAUTHORS:20140612-071051007
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140612-071051007
Official Citation:Victor C. Tsai and Morgan P. Moschetti An explicit relationship between time-domain noise correlation and spatial autocorrelation (SPAC) results Geophys. J. Int. (2010) 182 (1): 454-460 doi:10.1111/j.1365-246X.2010.04633.x
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:46221
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:12 Jun 2014 16:16
Last Modified:23 Nov 2016 20:02

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