Covariance Analysis for Seismic Signal Processing by R. Lynn Kirlin, William J. Done PDF

By R. Lynn Kirlin, William J. Done

ISBN-10: 0931830419

ISBN-13: 9780931830419

ISBN-10: 156080081X

ISBN-13: 9781560800811

This quantity is meant to offer the geophysical sign analyst enough fabric to appreciate the usefulness of information covariance matrix research within the processing of geophysical signs. A history of uncomplicated linear algebra, data, and basic random sign research is thought. This reference is exclusive in that the information vector covariance matrix is used all through. instead of facing just one seismic information processing challenge and offering a number of equipment, the focus during this e-book is on just one primary technique - research of the pattern covariance matrix providing many seismic facts difficulties to which the technique applies. This quantity could be of curiosity to many researchers, delivering a style amenable to many specified purposes. It bargains a various sampling and dialogue of the idea and the literature constructed thus far from a typical viewpoint.

Also Available:

Reservoir Geophysics: purposes: 2008 unique teacher brief direction - ISBN 1560801468
Shell Processing help layout for Land three D Survey - ISBN 1560800321

Show description

Read Online or Download Covariance Analysis for Seismic Signal Processing PDF

Best mining books

John W. Harbaugh's Computing Risk for Oil Prospects:Principles and Programs PDF

The petroleum is enduring tricky monetary occasions end result of the carrying on with depressed expense of crude oil at the international marketplace. This has brought on significant company restructuring and rate reductions in employees during the undefined. simply because oil exploration needs to now be performed with fewer humans below more challenging fiscal constraints, it really is crucial that the simplest and effective strategies be used.

Download e-book for iPad: Riding the High Wire: Aerial Mine Tramways in the West by Robert A. Trennert

Driving the excessive cord is the 1st finished historical past of aerial mine tramways within the American West, describing their position within the evolution of mining after 1870. Robert A. Trennert exhibits how the mid-nineteenth century improvement of twine rope production made it attainable for American marketers corresponding to Andrew S.

Get Well test analysis : the use of advanced interpretation PDF

This publication on good try research, and using complicated interpretation versions is quantity three within the sequence guide of Petroleum Exploration and construction. The chapters within the booklet are: ideas of brief trying out, research tools, Wellbore stipulations, influence of Reservoir Heterogeneities on good Responses, impact of Reservoir limitations on good Responses, a number of good trying out, software to fuel Reservoirs, software to Multiphase Reservoirs, distinctive assessments, sensible features of good try out Interpretation.

Get Basics of metal mining influenced water PDF

Fundamentals of steel Mining prompted Water is a must-read for planners, regulators, experts, land managers, scholars, researchers, or others keen on the environmentally sound administration of steel mine wastes and drainage caliber. the 1st of a sequence of six handbooks on applied sciences for handling steel mine and metallurgical method draining, this publication bargains a distinct, entire viewpoint at the topic.

Additional resources for Covariance Analysis for Seismic Signal Processing

Sample text

1989, Performance of high resolution frequencies estimation methods compared to the Cramer-Rao bounds: IEEE Trans. , Speech and Sig. , 37, 1703-1720. Kirlin, R. , 1991, A note on the effects of narrowband and stationary signal model assumptions on the covariance matrix of sensor array data vectors: IEEE Trans. Signal Processing, 503-506. Pillai, S. , 1989, Array signal processing: Springer-Verlag Inc. Scharf, L. , 1991, Statistical signal processing: Addison-Wesley Publ. Corp. 50. org/ 50 Chapter 5 Temporal and Spatial Spectral Analysis R.

4, v1 ϭ s. Now note that SVD would have found both eigenstructures. 32) where V are the eigenvectors of XHX(p ϫ p), and U are the eigenvectors of XXH(M ϫ M). Then U 1 ϭ s, v 1 ϭ 1 , and ⌳ 11 ϭ ( E s ϩ ␴ n2 ) 1 / 2 ; these are the singular vector u1 of X for the first example, the eigenvector v1 of XHX for the current example, and the first singular value ␭1 of the SVD of X. The eigenvalues of either XXH or XHX are ␭ i ϭ E s ϩ ␴ n2 , ␴ n2 , … , ␴ n2 , to either p or M values, respectively. These two examples are basic to many of the algorithms presented elsewhere in this book.

11a). The factor (XTX)-1XT ϭ X# is the pseudoinverse of X, since X#X ϭ I. Further, T X# ϭ ( X X ) Ϫ1 ⌳ Ϫ1 0 T T U . 23) These are convenient notations for determining the least-squares fit of columns of X to a general vector y. , ␾p )T give a best least-squares fit yˆ x ϭ X␾ to y? 50. org/ 25 Note too that the error y Ϫ yˆ ϭ ( I Ϫ P # )y is orthogonal to the range space. 21)]. 26) where X is M ϫ p, ␾ is p ϫ 1, y are M noisy measurements, and M Ͼ p. If p Ͼ M, ␾ is known as the minimum-norm solution, since there are many solutions ␾, but only one that minimizes ␾T␾.

Download PDF sample

Covariance Analysis for Seismic Signal Processing by R. Lynn Kirlin, William J. Done


by James
4.1

Rated 4.59 of 5 – based on 22 votes

Related posts