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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">izvestswsu</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Юго-Западного государственного университета</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the Southwest State University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2223-1560</issn><issn pub-type="epub">2686-6757</issn><publisher><publisher-name>ЮЗГУ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21869/2223-1560-2022-26-3-129-150</article-id><article-id custom-type="elpub" pub-id-type="custom">izvestswsu-1041</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Информатика, вычислительная техника и управление</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Computer science, computer engineering and IT managment</subject></subj-group></article-categories><title-group><article-title>Подход и алгоритм оценки допустимых значений отношения сигнал/шум лидаров роботов в условиях внешних воздействий</article-title><trans-title-group xml:lang="en"><trans-title>Approach and Algorithm for Evaluating the Allowed Signal/Noise Ratio of Robotic Lidars under External Influences</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6366-9786</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мамченко</surname><given-names>М. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Mamchenko</surname><given-names>M. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мамченко Марк Владиславович, научный  сотрудник лаборатории киберфизических систем</p><p>ул. Профсоюзная, д. 65, г. Москва 117997</p></bio><bio xml:lang="en"><p>Mark V. Mamchenko, Researcher, Cyberphysical Systems Lab.</p><p>65, Profsoyuznaya str., Moscow 117997</p></bio><email xlink:type="simple">markmamcha@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт проблем управления им. В.А. Трапезникова Российской академии наук</institution></aff><aff xml:lang="en"><institution>V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>21</day><month>02</month><year>2023</year></pub-date><volume>26</volume><issue>3</issue><fpage>129</fpage><lpage>150</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мамченко М.В., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Мамченко М.В.</copyright-holder><copyright-holder xml:lang="en">Mamchenko M.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://izvestswsu.elpub.ru/jour/article/view/1041">https://izvestswsu.elpub.ru/jour/article/view/1041</self-uri><abstract><p>Цель исследования заключается в обеспечении безопасного функционирования робототехнических средств за счет разработки методов, подходов и алгоритмов обработки информации и описания их функционирования.</p><sec><title>Методы</title><p>Методы. В работе предлагается подход к оценке допустимого отношения сигнал/шум (ОСШ) для лидаров роботов на основе заданной вероятности появления «ложной тревоги» в условиях непреднамеренных воздействий. В основе представленного синтезированного вероятностного подхода лежат физические основы инфракрасного излучения и байесовская теория с применением критерия Неймана-Пирсона. Особенностью предлагаемого подхода является использование в аналитическом аппарате не только заданного порога появления ложной тревоги и вероятности возникновения интерференции, но и учет характеристик фотоприемных устройств лидаров. Это позволяет аналитически рассчитать величину допустимого ОСШ при стабилизации уровня «ложных тревог» на фоне шумов, вызванных данным видом помех.</p></sec><sec><title>Результаты</title><p>Результаты. Сформированные и представленные в работе зависимости могут использоваться в качестве одной из эксплуатационных характеристик при разработке и выборе оптоэлектронной системы измерения лидаров. Исходя из фиксированного значения «ложной тревоги» и полученного графического выражения полученной рабочей характеристики (полученных характеристик) возможно подобрать лидар с необходимыми техническими параметрами.</p></sec><sec><title>Заключение</title><p>Заключение. Разработан вероятностный подход и соответствующий алгоритм выбора порогового значения ОСШ, основанный на сущности критерия Неймана-Пирсона. Подход позволяет минимизировать значение вероятности «игнорирования» объекта при сканировании за счет недопущения превышения вероятности «ложной тревоги» заданного порогового значения. Представлено математическое и методологическое обеспечение для проектирования лидаров с учетом априорной оценки допустимого значения ОСШ и вероятности обнаружения отраженного импульса, без учета предварительных оценок вероятностных характеристик обнаружения объектов лидаром. В представленном алгоритме на вход подается набор необработанных данных – в виде значений полученного сигнала с шумовой составляющей. Выходные данные представлены множеством зависимостей вероятности ошибок для различных пороговых значений отношения сигнал/шум.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Purpose or research</title><p>Purpose or research. The aim of the study is to ensure the safe operation of robotics by developing methods, approaches and algorithms for information processing, and describing their functioning.</p></sec><sec><title>Methods</title><p>Methods. The paper proposes an approach to estimation allowed signal/noise ratio (SNR) for robotic LiDARs based on the predetermined probability of occurrence of «false alarm» under unintended influences. The synthesized probabilistic approach is based on the physical fundaments of infrared radiation, and the Bayesian theory using the Neyman-Pearson criterion. The feature of the proposed approach is the use of the given threshold of «false alarm» occurrence, and the probability of occurrence of interference in the analytical apparatus, as well as consideration of the characteristics of photodetectors. This allows expressing analytically and calculating the value of the allowed SNR when stabilizing the level of «false alarms» against background noise caused by this type of interference.</p></sec><sec><title>Results</title><p>Results. The formed and presented dependencies can be used as one of the operating characteristics in the development and selection of optoelectronic system of LiDAR’s measurement system. Based on the fixed value of «false alarm», and the resulting graphical expression of the operating characteristic (obtained characteristics) it is possible to choose a LiDARs system with necessary technical parameters.</p></sec><sec><title>Conclusion</title><p>Conclusion. The probabilistic approach and the corresponding algorithm for selecting the threshold SNR value based on the Neyman-Pearson criterion were developed. The approach allows minimizing the probability of «ignoring» the object when scanning, since the probability of «false alarm» does not exceed the given threshold value. Mathematical and methodological support for the design of LiDARs is presented, taking into account a priori estimation of the allowed SNR value, and the probability of reflected pulse detection, without preliminary estimates of probabilistic characteristics of object detection. The presented algorithm has a set of raw data (in the form of the values of the received signal with a noise component) as an input. Its output is represented by a set of error probability dependencies for different SNR thresholds.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>вероятностный подход</kwd><kwd>лидар</kwd><kwd>отношение сигнал/шум</kwd><kwd>ОСШ</kwd><kwd>ложная тревога</kwd><kwd>критерий Неймана-Пирсона</kwd><kwd>помеха</kwd><kwd>внешние воздействия</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при частичной финансовой поддержке РФФИ в рамках научного проекта № 19-29-06044. Автор выражает благодарность и признательность научному сотруднику лаборатории киберфизических систем ИПУ РАН Романовой Марии Андреевне за существенный вклад в подготовку и написание настоящей статьи.</funding-statement><funding-statement xml:lang="en">The reported study was partially funded by RFBR, number 19-29-06044. The author expresses gratitude and appreciation to Mariya A. Romanova, researcher of Cyberphysical Systems Laboratory of ICS RAS, for the significant contribution to the preparation and writing of this article.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Heinzler R., Schindler P., Seekircher J., Ritter W., Stork W. Weather Influence and Classification with Automotive Lidar Sensors. Proceedings of the 2019 IEEE Intelligent Vehicles Symposium (IV). 2019; 1527–1534. https://doi.org/10.1109/IVS.2019.8814205.</mixed-citation><mixed-citation xml:lang="en">Heinzler R., Schindler P., Seekircher J., Ritter W., Stork W. Weather Influence and Classification with Automotive Lidar Sensors. 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