Journal: Volume 21, No. 4, 2016
Pages: 12 – 19
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Polynomial detectors of radiofrequency signals with amplitude fluctuations by neyman-pearson moment quality criterion

Serhii Leleko, Yurii Lega, Volodymyr Palahin

Abstract

The complexity description of non-Gaussian processes in the theory of signal detection requires the use of a new approach. This approach is based on the use of moment-cumulant function of random processes and moment quality criterion for decision making. The adaptation of moment quality criterion of upper bounds of errors probability is proposed. The nonlinear algorithms of radiofrequency signal detection in non-Gaussian noise are presented. It is shown that taking into account of parameters of non-Gaussian noise in the form of cumulant coefficients of the third and higher orders, as well as the increase of the degree of polynomial decision rules (DR) allows to increase the probability of signal detection and reduce the probability of the second kind error. Generalized structure of polynomial decision rules for statistical hypothesis testing is offered. The synthesis and analysis of the methods and algorithms of radiofrequency signal detection in non-Gaussian noise on the basis of moment-cumulant description of random variables, polynomial decision rules which are optimal by new moment quality criterion, such as Neyman-Pearson criterion, are the main objective of the paper. Such approach gives us the possibility to create the effective computer toolkit for the functioning of data receiving and processing systems. The obtained results can be used to improve the accuracy of data processing in informationmeasuring, diagnostics, monitoring and control systems

Keywords

non-Gaussian noise, signal detection, moment quality criterion, radiosignal with amplitude fluctuation

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Suggested citation

Leleko, S., Lega, Yu. , & Palahin, V. (2016). Polynomial detectors of radiofrequency signals with amplitude fluctuations by neyman-pearson moment quality criterion. Bulletin of Cherkasy State Technological University, 21(4), 12-19.