Statistical tests for regional seismic phase characterizations

Journal of Seismology

Volumn 7, Issue 1, 2003, Pages 19-33

  Persson, L ^a,b  

^a UPPSALA UNIVERSITY   (Sweden)

^b SWEDISH DEFENCE RESEARCH AGENCY   (Sweden)

Author keywords

Bicoherence; Bispectrum; Linearity; Multi channel; Regional seismic phases; Seismic array; Stationarity; Statistical tests; Symmetry; Time reversibility

Indexed keywords

SEISMIC DATA; SEISMIC NOISE; SEISMICITY; STATISTICAL ANALYSIS; WAVE PROPAGATION; WAVEFORM ANALYSIS;

EID: 0037287389     PISSN: 13834649     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021216313892     Document Type: Article

References (28)

1. Aki, K. and Richards, P.G., 1980, Quantitative Seismology. Theory and Methods, W.H. Freeman and Company, San Francisco, pp. 709-711.
2. Barnett, V. and Lewis, T., 1994, Outliers in Statistical Data, Wiley, Chichester, pp. 584.
3. Brillinger, D.R., 1975, Time Series Data Analysis and Theory, Holt, Rinehart and Winston, New York, pp. 500.
4. Brillinger, D.R. and Rosenblatt, M., 1967, Asymptotic theory of estimates of kth order spectra, In: Harris, B. (ed.), Spectral Analysis of Time Series, Wiley, New York, pp. 135-188.
5. Brockett, P.L., Hinich, M.J., and Wilson, G.R., 1987, Nonlinear and non-Gaussian ocean noise, J. Acoust. Soc. Am. 82(4), 1386-1394.
6. Båth, M., 1974, Spectral Analysis in Geophysics, Elsevier, Developments in Solid Earth Geophysics, 7, Amterdam, pp. 563.
7. Elgar, S., 1987, Relationship involving third moments and bispectra of a harmonic process, IEEE Trans. on Acoustic, Speech and Signal Processing, ASSP-35 12, 1725-1726.
8. Fackrell, J.W.A., McLaughlin, S. and White, P.R., 1995, Bicoherence estimation using the direct method, part 1: Theoretical considerations, Appl. Sig. Process. 3, 155-168.
9. Fackrell, J.W.A. and McLaughlin, S., 2000, Robust nonparametric bicoherence estimation by stepwise outlier rejection, Electronics Lett. 36(4), 368-370.
10. Hinich, M.J., 1982, Testing for Gaussianity and linearity of a stationary time series, J. Time Series Anal. 3(3), 169-176.
11. Hinich, M.J. and Wolinsky, M.A., 1988. A test for aliasing using bispectral analysis, J. Am. Statist. Assoc. 83, 499-502.
12. Hinich, M.J., 1990, Detecting a transient signal by bispectral analysis, IEEE Trans. on Acoust., Speech, Signal Processing 38(7), 1277-1283.
13. Hinich, M.J. and Messer, H., 1995, On the principal domain of the discrete bispectrum of a stationary signal, IEEE Trans. on Acoust., Speech, Signal Processing 43(9), 2130-2134.
14. Hinich, M.J. and Rothman, P., 1998, Frequency-domain test of time-reversibility, Macroecon. Dyn. 2, 72-88.
15. Kletter, D. and Messer, H., 1990, Sub-optimal detection of non-Gaussian signal by third order spectral analysis, IEEE Trans. on Acoust., Speech, Signal Processing 38, 901-909.
16. Korhonen, H., Pirhonen, S., Ringdal, F., Mykkeltveit, S., Kværna, T., Larsen, P.W. and Paulsen, R., 1987. The FINESA Array and Preliminary Results of Data Analysis, Univ. of Helsinki, Inst. Seismology, Internal Report S-16.
17. Kværna, T., 1989, On exploitation of small-aperture NORESS type arrays for enhanced P-wave detectability, Bull. Seismol. Soc. Am. 79(3), 888-900.
18. Masuda, A. and Kuo, Y., 1981, A note on the imaginary part of bispectra, Deep-Sea Res. 28(A), 213-222.
19. Mykkeltveit, S. and Husebye, E.S., 1981, Lg wave propagation in Eurasia, In: Husebye, E.S. and Mykkeltveit, S. (eds.), Identification of Seismic Sources - Earthquake or Underground Explosions, D. Reidel Publishing Company, pp. 421-451.
20. Mykkeltveit, S., Åstebol, K., Doornbos, D.J. and Husebye, E.S., 1983. Seismic array configuration optimization. Bull. Seismol. Soc. Am. 73, 173-186.
21. Mykkeltveit, S. and Ringdal, F., 1988, New results from processing of data recorded at the new ARCESS regional array, Semi Annual Tech. Summ., 1 Oct. 1987-31 Mar. 1988, NORSAR Sci. Rep. 2-87/88, Kjeller, Norway.
22. Nikias, C. L. and Raghuveer, M. R., 1987, Bispectrum estimation: a digital processing framework, Proc. IEEE 75, 869-891.
23. Nikias, C. L. and Mendel, J. M., 1993, Signal processing with higher-order spectra, IEEE SP. Magazine, 10-37.
24. Persson, L., 1993, Bispectrum analysis of the coda records from local earthquakes and mine explosions, Comp. & Geosci. 19(2), 243-247.
25. Sato, H., 1991, Study of seismogram envelopes based on scattering by random inhomogeneities in the lithosphere: A review, Phys. Earth Plan. Int. 67, 4-19.
26. Subba Rao, T. and Gabr, M.M., 1980, A test for linearity of stationary time series, J. Time Ser. Anal. 1(2), 145-158.
27. Tugnait, J., 1994, Detection of non-Gaussian signals using integrated polyspectrum, IEEE Trans. Signal Processing 42(11), 3137-3149.
28. Zoubir, A.M. and Böhme, J.F., 1995. Application of higher-order spectra to the analysis and detection of knock in combustion engines, In: Boashash, B., Powers, E.J. and Zoubir, A.M. (eds.), Higher-Order Statistical Signal Processing, Chapter 9, Longman Australia, Melbourne, pp. 530.