An errors-in-variables method for non-stationary data with application to mineral exploration

In this paper, an errors-in-variables (EIV) method is applied to the problem of model estimation for noise cancellation in transient electromagnetic mineral exploration. The algorithm exploits the non-stationary nature of the data. Alternative methods for noise cancellation in these systems rely on specific signal characteristics, and are thus less readily transferable to other applications. The proposed method produces a model that agrees well with those obtained by alternative methods and has similar noise cancellation performance. This is shown by performance comparisons on experimental data.

[1]  A. Wald The Fitting of Straight Lines if Both Variables are Subject to Error , 1940 .

[2]  M. Deistler Linear dynamic errors-in-variables models , 1986, Journal of Applied Probability.

[3]  H. Christian Global Frequency and Distribution of Lightning as Observed From Space , 2001 .

[4]  P. Kearey,et al.  An introduction to geophysical exploration , 1984 .

[5]  Misac N. Nabighian,et al.  Electromagnetic Methods in Applied Geophysics , 1988 .

[6]  Kurt M. Strack,et al.  Society of Exploration Geophysicists , 2007 .

[7]  Xxyyzz Geophysical Exploration for Engineering and Environmental Investigations , 1997 .

[8]  Graham C. Goodwin,et al.  Errors-in-variables problems in transient electromagnetic mineral exploration , 2007, 2007 46th IEEE Conference on Decision and Control.

[9]  Brian D. O. Anderson,et al.  Identification of scalar errors-in-variables models with dynamics , 1985, Autom..

[10]  B. Anderson,et al.  Identifiability in dynamic errors-in-variables models , 1983, The 22nd IEEE Conference on Decision and Control.

[11]  James Macnae,et al.  6. Time Domain Electromagnetic Prospecting Methods , 1991 .

[12]  Graham C. Goodwin,et al.  Application of Non-stationary EIV Methods to Transient Electromagnetic Mineral Exploration , 2008 .

[13]  Graham C. Goodwin,et al.  Identifiability of errors in variables dynamic systems , 2008, Autom..

[14]  Alexander Kukush,et al.  On errors-in-variables estimation with unknown noise variance ratio , 2006 .

[15]  T. Söderström Discrete-Time Stochastic Systems: Estimation and Control , 1995 .

[16]  Torsten Söderström,et al.  Errors-in-variables methods in system identification , 2018, Autom..

[17]  Graham C. Goodwin,et al.  Identifiability of EIV Dynamic Systems with Non-Stationary Data , 2008 .