A.Ya.Kalyuzhny An acoustic ocean tomography: the statistical-informational aspects |
Acoustic bulletin, Vol. 1 ¹ 1, (1998) |
| The paper deals with statistical methodology of solution for the problems of acoustic ocean tomography. Main attention was given to statistical treatment of stability of such problems and the methods of their regularization. It was offered to consider a tomographic problem as that for conditional extremum of test statistics by estimated parameters, where the role of constraints belongs to the a priori basis of knowledge of characteristics of restored hydrophysical fields formulated as the operator and functional relations. Such a statement ensures maximum stability of solutions at the accessible level of a priori information. The proposed methodology is illustrated by concrete examples. Problems of optimization of the basis presentation of restored hydrophysical fields with allowance for the environment factors and procedure of statistical measurements have been considered. A principle of selection of `"major components" (well-known in the image restoration theory) providing for minimization of fluctuation errors of estimation has been generalized with allowance for not only fluctuation but also statistical component of the total error of measurements. |
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KEY WORDS: acoustic tomography, "major components" of the basis, estimation error |
| TEXT LANGUAGE: Russian |