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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">izmertech</journal-id><journal-title-group><journal-title xml:lang="ru">Измерительная техника</journal-title><trans-title-group xml:lang="en"><trans-title>Izmeritel`naya Tekhnika</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0368-1025</issn><issn pub-type="epub">2949-5237</issn><publisher><publisher-name>ФГУП "ВНИИФТРИ"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32446/0368-1025it.2024-5-54-63</article-id><article-id custom-type="elpub" pub-id-type="custom">izmertech-2139</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>АКУСТИЧЕСКИЕ ИЗМЕРЕНИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ACOUSTIC MEASUREMENTS</subject></subj-group></article-categories><title-group><article-title>Метод тестирования устойчивости авторегрессионной модели речевого тракта и корректировки её параметров</article-title><trans-title-group xml:lang="en"><trans-title>Method for testing the stability of an autoregressive model of the vocal tract and adjusting its parameters</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3045-3337</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Савченко</surname><given-names>В. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Savchenko</surname><given-names>V. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Владимир Васильевич Савченко, доктор технических наук, профессор</p><p>Нижний Новгород</p></bio><bio xml:lang="en"><p>Vladimir V. Savchenko</p><p>Nizhny Novgorod</p></bio><email xlink:type="simple">vvsavchenko@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/0000-0002-2776-5471</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Савченко</surname><given-names>Л. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Savchenko</surname><given-names>L. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Людмила Васильевна Савченко</p><p>Нижний Новгород</p></bio><bio xml:lang="en"><p>Lyudmila V. Savchenko</p><p>Nizhny Novgorod</p></bio><email xlink:type="simple">avsavchenko@hse.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский университет «Высшая школа экономики»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research University Higher School of Economics</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>10</day><month>06</month><year>2024</year></pub-date><volume>0</volume><issue>5</issue><fpage>54</fpage><lpage>63</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Савченко В.В., Савченко Л.В., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Савченко В.В., Савченко Л.В.</copyright-holder><copyright-holder xml:lang="en">Savchenko V.V., Savchenko L.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://www.izmt.ru/jour/article/view/2139">https://www.izmt.ru/jour/article/view/2139</self-uri><abstract><p>В рамках традиционного направления исследований в области акустических измерений рассмотрена авторегрессионная модель речевого тракта как ключевого звена речевого аппарата человека. Указано на острую проблему обеспечения устойчивости авторегрессионной модели в системах с адаптацией параметров под наблюдаемый речевой сигнал небольшой длительности. Для преодоления указанной проблемы поставлена задача тестирования устойчивости авторегрессионной модели и корректировки её параметров по результатам тестирования. В основу исследования положена авторская методика формантного анализа гласных звуков речи через синтез рекурсивного формирующего фильтра в режиме свободных колебаний. Для решения поставленной задачи предложен метод тестирования устойчивости авторегрессионной модели речевого тракта и корректировки её параметров. Метод основан на двухэтапном алгоритме трансформации авторегрессионной модели речевого тракта. На первом этапе тестируют устойчивость авторегрессионной модели по импульсной характеристике формирующего фильтра. На втором этапе при нарушении устойчивости авторегрессионной модели модифицируют импульсную характеристику путем её поэлементного умножения на переменную экспоненциальную величину, которая асимптотически сходится к нулю. Разработан регулярный алгоритм перерасчёта модифицированной импульсной характеристики в откорректированный вектор авторегрессионных параметров на втором этапе трансформации. По результатам экспериментальной апробации предложенного метода сделан вывод о достижении гарантированной устойчивости авторегрессионной модели речевого тракта при её минимальных искажениях в частотной области. Полученные результаты полезны при разработке и модернизации систем автоматического распознавания речи, цифровой речевой связи, искусственного интеллекта и других информационных систем, использующих сжатие данных и кодирование речи на основе авторегрессионной модели речевого тракта при автоматической обработке речевого сигнала.</p></abstract><trans-abstract xml:lang="en"><p>Within the framework of the traditional direction of research in the field of acoustic measurements, an autoregressive model of the vocal tract as a key link in the human speech apparatus is considered. The acute problem of ensuring the stability of the autoregressive model in systems with adaptation of its parameters to the observed speech signal of short duration is pointed out. To overcome this problem, the task was set of testing the stability of the autoregressive model and adjusting its parameters based on the results of this testing. The study is based on the author’s method of formant analysis of vowel sounds of speech through the synthesis of a recursive shaping filter in the free oscillation mode. To solve sated task, a method is proposed for testing the stability and adjusting the parameters of the autoregressive model of the vocal tract based on a two-stage algorithm for its transformation. At the first stage of transformation, the stability of the autoregressive model is tested using the impulse response of the shaping filter. At the second stage, if the stability of the autoregressive model is violated, its impulse response is modified by element-by-element multiplication by a variable exponential value that asymptotically converges to zero. A regular algorithm has been developed for recalculating the modified impulse response into an adjusted vector of autoregressive parameters at the second stage of transformation. Based on the results of experimental testing of the proposed method, it was concluded that guaranteed stability of the autoregressive model of the vocal tract has been achieved with minimal distortion in the frequency domain. The results obtained are useful in the development and modernization of automatic speech recognition systems, digital speech communications, artificial intelligence and other information systems that use data compression and speech coding based on an autoregressive model of the vocal tract in automatic speech signal processing.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>речевой сигнал</kwd><kwd>речевой тракт</kwd><kwd>дискретное спектральное моделирование</kwd><kwd>авторегрессионная модель</kwd><kwd>устойчивость авторегрессионной модели</kwd><kwd>тестирование устойчивости</kwd><kwd>корректировка параметров</kwd></kwd-group><kwd-group xml:lang="en"><kwd>speech signal</kwd><kwd>vocal tract</kwd><kwd>discrete spectral modeling</kwd><kwd>autoregressive model</kwd><kwd>stability of autoregressive model</kwd><kwd>stability testing</kwd><kwd>parameter adjustment</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Ternström S. 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