Method of assessment of pulse signal parameters based on correlation regression analysis

DOI №______

Abstract

The mathematical model of statistical estimation of impulse signal parameters on the basis of regression analysis is developed. characteristics and principle of action. Theoretical — mathematical approach in most cases of its realization simplifies reality, generalizes, ignores features and individuality. The experimental-statistical approach builds its models on individual, concrete data that does not detach the object from the time and place frames. They use the methodology of static description and formulate, through single manifestations, the general patterns and laws of behavior of many objects that become probable in mass phenomena. The real method of obtaining mathematical models is experimentally statistical approaches. That is, the main sources of raw data is a really accumulated static database of a particular type of process or method under study. Regression analysis allows us to determine an empirical formula that describes the dependence of detecting a signal, the source of which is the means of silently obtaining information from the parameters by which the types of devices are recognized. Using the correlation-regression method, a technique for estimating the mutual influence of signals from the means of silent retrieval was developed, which makes it possible to simulate the processes of finding the means of silent retrieval of information (bookmarks) in the presence of many variables. This technique is confirmed by the results of applying the Fechner and Pearson criteria to the experimental data obtained. Both evaluation criteria gave virtually the same conclusions as to the reliability of the simulation, which confirms the adequacy of the model and is fully consistent with the practical aspect of bookmarking.

Keywords: regression analysis; signal; matrix; covariance.

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