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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">vestnovsu</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Новгородского государственного университета</journal-title><trans-title-group xml:lang="en"><trans-title>Vestnik of Novgorod State University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2076-8052</issn><publisher><publisher-name>Новгородский государственный университет имени Ярослава Мудрого</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.34680/2076-8052.2023.1(130).129-145</article-id><article-id custom-type="elpub" pub-id-type="custom">vestnovsu-133</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>Радиотехника и связь</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Radiotechnics and telecommunications</subject></subj-group></article-categories><title-group><article-title>Флуктуационный анализ моделей морской поверхности</article-title><trans-title-group xml:lang="en"><trans-title>Fluctuation analysis of sea surface model</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8155-9310</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Михайлов</surname><given-names>В. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Mikhailov</surname><given-names>V. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Михайлов Вячеслав Николаевич – научный сотрудник,</p><p>Санкт-Петербург.</p></bio><bio xml:lang="en"><p>Mikhailov V. N.,</p><p>Saint-Petersburg.</p></bio><email xlink:type="simple">vnmikhaylov@etu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6668-9512</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Пыко</surname><given-names>Н. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Pyko</surname><given-names>N. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Пыко Никита Сергеевич – аспирант, ассистент,</p><p>Санкт-Петербург.</p></bio><bio xml:lang="en"><p>Pyko N. S.,</p><p>Saint-Petersburg.</p></bio><email xlink:type="simple">nspyko@etu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0356-5651</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Богачев</surname><given-names>М. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Bogachev</surname><given-names>M. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Богачев Михаил Игоревич – доктор технических наук, доцент, главный научный сотрудник,</p><p>Санкт-Петербург.</p></bio><bio xml:lang="en"><p>Bogachev M. I.,</p><p>Saint-Petersburg.</p></bio><email xlink:type="simple">rogex@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3438-1361</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кутузов</surname><given-names>В. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Kutuzov</surname><given-names>V. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кутузов Владимир Михайлович – доктор технических наук, профессор, заведующий кафедрой,</p><p>Санкт-Петербург.</p></bio><bio xml:lang="en"><p>Kutuzov V. M.,</p><p>Saint-Petersburg. </p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Санкт-Петербургский государственный электротехнический университет «ЛЭТИ» имени В. И. Ульянова (Ленина)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Saint-Petersburg Electrotechnical University “LETI”</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>20</day><month>09</month><year>2023</year></pub-date><volume>0</volume><issue>1(130)</issue><fpage>129</fpage><lpage>145</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Михайлов В.Н., Пыко Н.С., Богачев М.И., Кутузов В.М., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Михайлов В.Н., Пыко Н.С., Богачев М.И., Кутузов В.М.</copyright-holder><copyright-holder xml:lang="en">Mikhailov V.N., Pyko N.S., Bogachev M.I., Kutuzov V.M.</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://vestnovsu.elpub.ru/jour/article/view/133">https://vestnovsu.elpub.ru/jour/article/view/133</self-uri><abstract><p>Эффективность реализации систем и комплексов дистанционного мониторинга акваторий неразрывно связана с созданием адекватных моделей морской поверхности, востребованных при решении задач навигации на море, оценки риска и прогнозирования аномальных явлений, в том числе при реализации дистанционных батиметрических измерений. В статье рассматривается сценарий реализации таких измерений по данным статистического анализа взволнованной морской поверхности при различных значениях глубины акватории, а также скорости и направления ветра. Рассмотрено и выполнено имитационное моделирование применительно к семи различным моделям угловых спектров ветрового волнения и энергетическому спектру JONSWAP, описанным в литературе, для которых построены оценки двумерных спектров. В отношении сформированных моделей выполнен флуктуационный анализ с исключением фонового тренда по дальности и по азимуту. Установлено, что для флуктуационных функций по дальности наблюдаются два характерных асимптотических режима, точка перегиба между которыми определяется глубиной акватории и скоростью ветра. По результатам анализа предложен подход и сформулирован критерий для дистанционного измерения глубины акватории в условиях как наличия, так и отсутствия доступных автономных измерений скорости ветра.</p></abstract><trans-abstract xml:lang="en"><p>The effectiveness of remote marine monitoring systems including remote bathymetric measurements essential for the sea navigation, risk assessment and forecasting of anomalous phenomena requires the development of adequate sea surface models. In this article we propose a novel approach to the sea surface measurements for different sea depth, as well as wind speed and direction. We have performed computer simulations of sea wave dynamics for seven directional wave spectra and JONSWAP energy spectrum. Two-dimensional sea wave spectra have been estimated. In addition, we analyzed the range and the directional fluctuation functions of the respective models using detrended fluctuation analysis. Our results indicate that the range fluctuation functions exhibit two asymptotic regimes separated by a characteristic crossover point that is explicitly determined by the sea depth and the wind speed, respectively. Based on the results of the analysis, an original approach to the remote measurement of sea depth both in the presence and in the absence of autonomous wind speed measurements in suggested.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>ветровое волнение</kwd><kwd>угловой спектр</kwd><kwd>батиметрические оценки</kwd><kwd>математическое моделирование</kwd><kwd>гармонический синтез</kwd><kwd>флуктуационный анализ</kwd><kwd>показатель Хёрста</kwd><kwd>отношение дисперсий</kwd></kwd-group><kwd-group xml:lang="en"><kwd>wind waves</kwd><kwd>directional spectrum</kwd><kwd>bathymetric estimation</kwd><kwd>numerical modeling</kwd><kwd>harmonic synthesis</kwd><kwd>fluctuation analysis</kwd><kwd>Hurst exponent</kwd><kwd>variance ratio</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено в рамках государственного задания по теме Министерства науки и высшего образования № FSEE-2020-0002.</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">Pierson W. 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