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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Печать: 2152-5102
ISSN Онлайн: 2152-5110

Выпуски:
Том 46, 2019 Том 45, 2018 Том 44, 2017 Том 43, 2016 Том 42, 2015 Том 41, 2014 Том 40, 2013 Том 39, 2012 Том 38, 2011 Том 37, 2010 Том 36, 2009 Том 35, 2008 Том 34, 2007 Том 33, 2006 Том 32, 2005 Том 31, 2004 Том 30, 2003 Том 29, 2002 Том 28, 2001 Том 27, 2000 Том 26, 1999 Том 25, 1998 Том 24, 1997 Том 23, 1996 Том 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v28.i1-2.170
pages 224-243

Algebraization of the Medium Acoustic Tomography Problems Based on the Principal Informative Components

A. Ya. Kalyuzhny
Scientific and Production Enterprise "Delta", Kyiv, Ukraine

Краткое описание

The possibility of improving the efficiency of the solution of acoustic tomography problems is shown in the present article. It is obtained due to the representation of the field of medium parameters to be restored in the finite-dimensional basis of special form. The proposed approach is based on extreme properties of eigenfunctions of the Fisher's information operator. The coordinate basis of medium characteristics field, formed by these functions, provides minimization of a reconstruction error. The existence of the optimal dimension of the basis, which provides maximum precision of measurements at given conditions of acoustic experiment, is established. The criterion of selection of optimal basis functions, which takes into account both the statistical and systematic components of the resulting error, is formulated. A projective approach to the development of the coordinate basis is also proposed. It combines the advantages of a purely physical origin (clearness, economy) and a statistical-informational approach (minimization of errors). The structure of the information operator for the typical models of acoustic signal fields is investigated. The effectiveness of the proposed approach is illustrated by examples from the ocean acoustic tomography.


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