The task of detecting signals in conditions of a priori uncertainty and methods of its solution

DOI №______

Abstract

The essence and features of optimal, adaptive and nonparametric methods of statistical processing are considered. It is expedient to use optimal (classical) methods provided that the known functional type of the distribution of the sample values and all its parameters are known. Adaptive methods are used if the distribution of input data is known to the accuracy of an array of unknown parameters. Non-parametric methods are used when the functional type of input distribution is unknown and only the general differences between situations of presence and absence of a signal are specified. Studies have shown that a priori information used in the synthesis of nonparametric findings is more qualitative than quantitative. The difference between nonparametric methods from optimal and adaptive ones is that in nonparametric methods, the main emphasis is not on optimizing the characteristics of the system, but on ensuring their insensitivity to the operating conditions.

Keywords: optimal, adaptive, nonparametric, rank, distribution, signal, quality, indicator, array, sampling.

References
1. Толубко В.Б. Методи оптимізації / В.Б. Толубко, Л.Н. Беркман. – Київ: ДУТ, 2016. – 442 с.
2. Соломенчук В. Д. Оптические транспортные сети / В. Д. Соломенчук, В. А. Мищенко, К. Н. Гура. – Киев: Центр последипломного образования ПАО «Укртелеком», 2014. – 294 с.
3. Стеклов В.К. Оптимізація та моделювання пристроїв та систем зв’язку / В.К. Стеклов, Л.Н. Беркман, Є.В. Кільчицький. – Київ: Техніка, 2004. – 576 с.
4. Стеклов В. К. Телекоммуникационные сети / В. К. Стеклов, Л. Н. Беркман. – Київ: Техніка, 2000. – 392 с.
5. Лихтциндер Б.Я. Интеллектуальные сети связи. / Б. Я. Лихтциндер, М. А. Кузякин, А. В. Росляков, С. М. Фомичев. – Москва: Эко-Трендз, 2000. – 205 с.
6. Бертсекас Д. Сети передачи данных / Д. Бертсекас, Р. Галлагер. – Москва: Мир, 1989. – 544 с.