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Comments on the Paper: “Phase Distortion and Hilbert Transformation In Multiply Reflected and Refracted Body Waves”, by G. L. Choy and P. G. Richards

Clayton, Robert W. and McClary, Barbara and Wiggins, Ralph A. (1976) Comments on the Paper: “Phase Distortion and Hilbert Transformation In Multiply Reflected and Refracted Body Waves”, by G. L. Choy and P. G. Richards. Bulletin of the Seismological Society of America, 66 (1). pp. 325-326. ISSN 0037-1106. http://resolver.caltech.edu/CaltechAUTHORS:20121003-102703573

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Abstract

In a recent paper Choy and Richards (1975) have demonstrated that phase-shifted arrivals can introduce systematic travel-time errors due to relative changes in the peak and trough positions of the arrival wavelets. The method they suggest to correct the problem is to cross-correlate an estimated zero-phase-shifted wavelet with the seismogram after all the arrivals have been restored to a zero phase shift. The peaks of the cross-correlation are then taken as the reference times for the arrivals. This method is awkward to use in practice because the arrivals will in general be phase-shifted by various angles that are not usually known a priori. This necessitates that each arrival be treated separately by searching for the correct restoring phase shift. The purpose of this note is to point out the existence of a much easier method which is simply to compute the envelope of the cross-correlation of the seismogram with an estimated zero-phase-shifted wavelet (Helmberger and Wiggins, 1971).


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http://bssa.geoscienceworld.org/content/66/1.tocPublisherUNSPECIFIED
Additional Information:© 1976 by the Seismological Society of America. Manuscript received June 27, 1975.
Record Number:CaltechAUTHORS:20121003-102703573
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20121003-102703573
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:34660
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:03 Oct 2012 18:29
Last Modified:03 Oct 2012 18:29

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