title: ÐÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¾Ð±Ð½Ð°ÑÑÐ¶ÐµÐ½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð² ÑÑÐ»Ð¾Ð²Ð¸ÑÑ Ð°Ð¿ÑÐ¸Ð¾ÑÐ½Ð¾Ð¹ Ð½ÐµÐ¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐ½Ð½Ð¾ÑÑÐ¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Software implementation of algorithms for optimal signal detection in conditions of a priori uncertainty
Creators: name: ÐÐ»ÑÑÐµÐ½ÐºÐ¾, ÐÐ¸ÐºÐ¸ÑÐ°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð» Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ð¿ÑÐ°Ð²Ð´Ð¾Ð¿Ð¾Ð´Ð¾Ð±Ð¸Ñ
ÐÐâÑÑÑÐ°ÑÐµÐ³Ð¸Ñ
Ð¾ÑÐµÐ½ÐºÐ° Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾-Ð³Ð¾ Ð¿ÑÐ°Ð²Ð´Ð¾Ð¿Ð¾Ð´Ð¾Ð±Ð¸Ñ
ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð¤Ð¾ÐºÐºÐµÑÐ°âÐÐ»Ð°Ð½ÐºÐ°âÐÐ¾Ð»Ð¼Ð¾Ð³Ð¾ÑÐ¾Ð²Ð°
likelihood ratio functional
NP-strategy
maximum likelihood estimation
FokkerâPlanckâKolmogorov equation

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description: This work is devoted to the study of algorithms for optimal signal detection in conditions of a priori uncertainty. The study involves the software implementation of the algorithms under study and the calculation of their characteristic dependencies. Thus, in the first chapter of this paper, we present a theoretical material related to the criterion of optimal detection and the study of the noise immunity of the algorithm for the case of a fully known signal. In all these cases, the optimal Neumann-Pearson criterion is used. At the end of the first Chapter, ideal characteristic dependencies are given, if the detectable one is fully known. In the second chapter, we first study the case of an unknown amplitude. The maximum likelihood estimation (MPâestimation) of the signal amplitude was obtained, and then a decision-making algorithm was formed. This is followed by a study of the probability of false alarms and correct detection. Then, by simulating the obtained algorithm in the MATLAB software environment, the theoretically obtained characteristics were compared with those obtained after simulation. In the same chapter, we further investigate the detection of a signal of the type of raised cosine with an unknown end time of the pulse. An MP estimation of the pulse end time was also performed and an algorithm for optimal detection was obtained. To obtain the characteristic dependencies, the Fokker-PlanckâKolmogorov equation was solved. Similarly, to the case of an unknown amplitude, simulation, and comparison with theoretical dependencies were performed. In addition, the density of the distribution of the likelihood ratio functional at different time points is investigated.