Tamas Nemeth and Kenneth P Bube 2001 Inverse Problems 17 533 doi:10.1088/0266-5611/17/3/312
Tamas Nemeth1,3 and Kenneth P Bube2
Show affiliationsExtraction of signal from a wavefield corrupted by significant coherent noise is one of the principal tasks in exploration seismology. Frequently both the signal and coherent noise components exhibit complex characteristics and cannot be modelled by popular transforms. In this paper we examine the separation of wavefield components by using their respective modelling operator as a transform. We form the separation problem as an inverse problem and study the corresponding invertibility and resolution properties of the resulting system matrix. We establish a link between the null space of the system matrix and the range overlap of the modelling operators. We introduce model and data regularization and show that these terms help mitigate the range overlap. The method is illustrated on a synthetic example for the nonregularized, model-based and data-based regularization cases.
Issue 3 (June 2001)
Received 27 July 2000, in final form 10 April 2001
Tamas Nemeth and Kenneth P Bube 2001 Inverse Problems 17 533
K. Gokhberg et al 2005 Europhys. Lett. 72 228
Hong Zhou et al 2005 Nonlinearity 18 2815
R Mendoza-Reséndez et al 2004 Nanotechnology 15 S254
C X Xu et al 2007 New J. Phys. 9 381
Charles R. Keeton 2003 ApJ 582 17
K. Sato et al 2003 Europhys. Lett. 61 403
T M Srihari Mukesh et al 2006 Physiol. Meas. 27 61
M Roos et al 1992 Metrologia 29 59
Sebastiano Cantalupo et al. 2008 ApJ 672 48