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. doi:10.1111/j.1365-246X.2010.04633.x. https://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.
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| 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 | |||||||||
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| Subject Keywords: | Surface waves and free oscillations; Seismic tomography; Theoretical seismology; Wave propagation; Crustal structure | |||||||||
| Issue or Number: | 1 | |||||||||
| DOI: | 10.1111/j.1365-246X.2010.04633.x | |||||||||
| Record Number: | CaltechAUTHORS:20140612-071051007 | |||||||||
| Persistent URL: | https://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: | 10 Nov 2021 17:22 |
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