Higher Order Spectra in the Processing of Magnetotelluric Data

Lynn M. Hastie; Katherine M. Edwards

doi:10.1071/EG995144

ISSN: 0812-3985
E-ISSN: 1834-7533

Higher Order Spectra in the Processing of Magnetotelluric Data
Authors Lynn M. Hastie^a and Katherine M. Edwards^b
View Affiliations Hide Affiliations

^a Physics DepartmentThe University of Queensland, Phone: (07) 365 3411, Fax: (07) 365 1242 ^b Physics DepartmentThe University of Queensland
Publisher: Australian Society of Exploration Geophysicists
Source: Exploration Geophysics, Volume 26, Issue 2-3, Jun 1995, p. 144 - 148
DOI: https://doi.org/10.1071/EG995144
- Published online: 01 Jun 1995

Abstract

Magnetotelluric (MT) impedances are estimated from electric and magnetic field data using a higher order spectral (HOS) method. This technique rejects Gaussian noise contaminating the MT signal because of the insensitivity of the third order cumulant to Gaussian signals. The non-Gaussian characteristics of a representative set of MT signals are demonstrated.

Artificial non-Gaussian datasets contaminated with varying levels of coherent and incoherent Gaussian noise are analysed using this method and three existing methods: the robust remote reference (RRRMT) method, the time-frequency (TF) method and a variant of the conventional (CONV) method. The resistivity and phase estimates obtained by the HOS method and CONV method are more consistent than those of the TF and the RRRMT methods, and in general the resistivity and phase estimates from the HOS method are subject to the least bias.

Article metrics loading...

/content/journals/10.1071/EG995144

1995-06-01

2026-01-20

From This Site

/content/journals/10.1071/EG995144

dcterms_title,dcterms_subject,pub_keyword

-contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution

10

5

Full text loading...

References

Chave, A.D. and Thomson, D.J., 1989, Some comments on magnetotelluric response function estimation: J. Geophys. Res. 94, 14215-14225.
Chant, I.J. and Hastie, L.M., 1992, Time-frequency analysis of magnetotelluric data: Geophys. J. Internat. 111, 399-413.
Dekker, D.L. and Hastie, L.M., 1981, Sources of error and bias in a magnetotelluric depth sounding of the Bowen Basin: Phys. Earth Plan. Int. 25, 219-225.
Edwards, K.M. and Hastie, L.M., 1994, The application of robust and non-stationary analysis methods to MT data from the West Anesi anticline: Preview, 48, ASEG 10th Geophys. Conf. and Exhib. Abstracts, 13-14.
Goodall, C, 1983, M-estimators of location: an outline of the theory/nHoaglin, D.C., Mosteller, F., and Tukey, J.W., Eds., Understanding robust and exploratory data analysis: John Wiley and Sons, Inc., 339-403.
Hinich, M.J., 1982, Testing for Gaussianity and linearity of a stationary time series: J. Time Series Analysis, 3, 169-176.
Jones, A.G., Chave, A.D., Egbert, G., Auld, D., and Bahr, K., 1989, Acompar-ison of techniques for magnetotelluric response function estimation: J. Geophys. Res., 94, 14201-14213.
Mendel, J.M., 1991, Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications: Proc. IEEE, 79, 278-305.
Nikias, C.L. and Mendel, J.M., 1993, Signal processing with higher-order spectra: IEEE Signal Processing Magazine, July 1993, 10-37.
Nikias, C.L. and Petropulu, A.P., 1993, Higher-order spectra analysis: Prentice-Hall, Inc.
Nikias C.L. and Raghuveer, M.R., 1987, Bispectrum estimation: a digital signal processing framework: Proc. IEEE, 75, 869-891.
Sims, W.E., Bostick, F.X., and Smith, H.W., 1971, The estimation of magnetotelluric impedance tensor elements from measured data: Geophysics, 36, 938-942.
Thomson, D.J., 1977, Spectrum estimation techniques for characterization and development of WT4 waveguide, I: Bell Systems. Tech. J., 56, 1769-1815.
Zhao, Y, Atlas, L.E., and Marks, R.J., 1990, The use of cone-shaped kernels for generalized time-frequency representations of nonstationary signals: IEEE Trans. Acoust. Speech Signal Process., 38, 1084-1091.

/content/journals/10.1071/EG995144

Article Type: Research Article

Keyword(s): bispectrum; Magnetotelluric; non-Gaussian

Most Cited This Month Most Cited RSS feed

- A comparison of smooth and blocky inversion methods in 2D electrical imaging surveys
  
  Authors M.H. Loke, Ian Acworth and Torleif Dahlin
- Reverse-Time Migration using the Poynting Vector
  
  Authors Kwangjin Yoon and Kurt J. Marfurt
- SkyTEM–a New High-resolution Helicopter Transient Electromagnetic System
  
  Authors K. I. Sorensen and Esben Auken
- An overview of a highly versatile forward and stable inverse algorithm for airborne, ground-based and borehole electromagnetic and electric data
  
  Authors Esben Auken, Anders Vest Christiansen, Casper Kirkegaard, Gianluca Fiandaca, Cyril Schamper, Ahmad Ali Behroozmand, Andrew Binley, Emil Nielsen, Flemming Effersø, Niels Bøie Christensen, Kurt Sørensen, Nikolaj Foged and Giulio Vignoli
- The Fast Marching Method: An Effective Tool for Tomographic Imaging and Tracking Multiple Phases in Complex Layered Media
  
  Authors Nicholas Rawlinson and Malcolm Sambridge
- 3-D Analytic Signal in the Interpretation of Total Magnetic Field Data at Low Magnetic Latitudes
  
  Authors Ian N. MacLeod, Keith Jones and Ting Fan Dai
- CMP cross-correlation analysis of multi-channel surface-wave data
  
  Authors Koichi Hayashi and Haruhiko Suzuki
- A new direct non-invasive groundwater detection technology for Australia
  
  Authors M. Schirov, A. Legchenko and G. Creer
- 3D inversion of airborne electromagnetic data using a moving footprint
  
  Authors Leif H. Cox, Glenn A. Wilson and Michael S. Zhdanov
- Notes On Rock Magnetization Characteristics In Applied Geophysical Studies
  
  Authors D. A. Clark and J. B. Emerson
More Less

Higher Order Spectra in the Processing of Magnetotelluric Data

Abstract

Most Read This Month

Most Cited This Month Most Cited RSS feed