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Evaluation of the influence of known number of abnormal information for precision characteristics degradation of linear filtering algorithms with defined impulse response functions

Keywords:

V.E. Farber – Dr. Sc. (Eng.), Professor, Head of Department, PJSC «Radiofizika» (Moscow), Professor, Moscow Institute of Physics and Technology (State University). E-mail: vladeffar@mail.ru


In the conditions of the possibility of occurrence of abnormal and non-informative measurements inevitably raises the question of building filtering algorithms, which take into account the presence of erroneous information in the measurement. At presence of such information, efficiency of classic filtering algorithms significantly reduced to loss of stability of their computer implementation. Currently, been developed quite a number of optimal, a quasi-optimal and robust filters of process in the presence of erroneous information. Because the structure of such filters directly related to the implementation of the input process, the quantitative analysis of the precision characteristics of coordinate evaluations at their output meets certain difficulties. This makes it necessary to use of mathematical modeling methods and search of guaranteeing precision estimation methods. In the paper I present one of the possible guaranteeing approaches to a precision degradation, estimation of filtration in the presence of erroneous information at the input of filters with given impulse response functions (independent of the implementation of the input process). The use of this approach illustrated by a concrete example.
References:

 

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