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Abstracts

XVI conference

Estimation of potential accuracy of results of probings with use of decomposition of function abreast Taylor

Slysar V.I., Masesov N.A.1

The central scientific research institute of arms and military engineering AF of Ukraine, Ukraine, 03049, Kiev, Vozduhoflotsky circular 28-B, +38(044) 2710966, swadim@inbox.ru

1Military institute of telecommunications and information NTU of Ukraine “KPI”, Ukraine, 36009, Poltava, Zenkovsky street 44, +38(0532) 534218, masesov@rambler.ru

1 pp. (accepted)

For a substantiation of possibility of practical realisation of results of probings it is necessary to spend an estimation of their potential accuracy. Such analysis demands application of special methods. One of approaches is determination of the bottom margins of Kramer-Rao (BMKR). However, in case of presence of the noise the component in all components of function is nonviscous, used for reception BMKR, the required margin is experimentally inaccessible.

In the report the alternative method of an estimation of potential accuracy by known decomposition of function of the decision abreast Taylor is offered. Its essence consists in the following. And it is possible to present estimated value in the form of estimation where stirring influence - is insignificant. The given assumption allows to apply to any function decomposition abreast Taylor [2]:

(1)

Where - k- derivative from on .

At a lead-out of estimations of accuracy among all set of functions (1) interest is represented only by dependences , and owing to little stirring influence it is necessary to be limited only to members of the first order and to present value of an error in the form of Corresponding junction to a dispersion can be carried out in known kind .

Thus, for cases uncapability the estimations of potential accuracy received by means of BMKR, in the report it is offered to use a known method of decomposition of function of the decision abreast Taylor.

The literature

1. Bakut P. A, Loginov V. P, Shumilov JU.P. Method of accuracy delimitation in problems estimationunknown parametres.//Foreign radio electronics, № 5, 1978. - P. 3-28.

2. Grenvil V. Elementy of differential and integrated calculations. - The state publishing house Moscow, 1928. - 288 p.



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