ALGORITHM FOR EVALUATING THE RELIABILITY OF MEASUREMENTS IN A MEASUREMENT INFORMATION SYSTEM WITH A NOISE-LIKE SIGNAL
Journal Title: Вестник Харьковского национального автомобильно-дорожного университета - Year 2018, Vol 83, Issue
Abstract
Problem. The quality of the measurement - information system with a noise-like signal and the reliability of the information obtained from it depend on the anomalous errors that arise, which, unlike the systematic errors, cannot be eliminated. This information has to be removed from the process. The question arises of the criteria for evaluating such errors and the probability of their occurrence. The goal of the article is to identify the probability of anomalous errors due to errors in estimating the coordinates of the points of maximum likelihood of the interference of the likelihood function. Мethodology. The methods used to assess the probability of correct acceptance of information by a measuring information system with a noise-like signal are: analysis, synthesis and analogy, which are based on the unity of their empirical and theoretical sides. Results. It has been established that in optimal measuring information systems with broadband noise-like signals it is necessary to use tracking meters when using long simulation sequences. Such tracking meters have abnormal errors: - due to the estimated coordinates of the maximum points of disturbance emissions likelihood functions; - associated with the anomalous decoupling of measurement ambiguities in multi-scale measurements; - caused by the output of the tracking error signal beyond the discriminatory characteristic (tracking failure). It is shown that calculation of the probability of occurrence of anomalous errors due to errors in estimating the coordinates of the maximum points of interfering emissions of the likelihood function can be carried out on the basis of a probabilistic approach using the Bernoulli scheme and is connected with the use of the Muavr-Laplace integral theorem. It is established that the anomalous work of the tracking meter will occur, with a probability of 0.1096, if for a series of N = 1000 measurements, the number of rejected measurements (the values of which lie outside the interval plus - minus variance from the average value) is more than 125. Originality. The probability of the occurrence of anomalous errors due to errors in the estimates of the coordinates of the maximum points of disturbance emissions of the likelihood function is obtained as well as the limit at which the anomalous work of the tracking meter occurs. Practical value. The results obtained will allow specialists in the operation of measuring information systems with a noiselike signal to assess the quality of their work and make the right decision about the reliability of the information received.
Authors and Affiliations
O. Bogatov, V. Popov, B. Chumak
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