Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Bulletin of the Sout...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
versions View all 2 versions
addClaim

This Research product is the result of merged Research products in OpenAIRE.

You have already added 0 works in your ORCID record related to the merged Research product.

Spectrum Transformation of an Amplitude-Modulated Signal on an Ohmic Nonlinear Element

Преобразование спектра амплитудно-модулированного сигнала на омическом нелинейном элементе
Authors: Saidov, B.B.; Tambovtsev, V.I.; Prokopov, I.I.;

Spectrum Transformation of an Amplitude-Modulated Signal on an Ohmic Nonlinear Element

Abstract

B.B. Saidov1, 2, matem.1994@mail.ru, V.I. Tambovtsev1, tamboval@mail.ru, I.I. Prokopov1, Prokopovii@susu.ru 1 South Ural State University, Chelyabinsk, Russian Federation, 2 Tajik Technical University named after academician M.S. Osimi, Dushanbe, Republic of Tajikistan. Саидов Бехруз Бадридинович, аспирант кафедры инфокоммуникационных технологий, Южно-Уральский государственный университет, г. Челябинск; Таджикский технический университет имени академика М.С. Осими, г. Душанбе, Республика Таджикистан; matem.1994@mail.ru. Тамбовцев Владимир Иванович, д-р физ.-мат. наук, заслуженный изобретатель СССР, действующий член Нью-Йоркской академии наук, профессор кафедры инфокоммуникационных технологий, Южно-Уральский государственный университет, г. Челябинск; tamboval@mail.ru Прокопов Игорь Игоревич, доцент кафедры инфокоммуникационных технологий, Южно- Уральский государственный университет, г. Челябинск; Prokopovii@susu.ru. Introduction. In many physical processes, the spectrum of the modulated signal is transferred to the low-frequency region, which also manifests itself in active dielectrics in radio sound. In the general case, the analysis of the spectrum transformation process is a very difficult task related with solving a system of nonlinear differential equations. And in the accepted form, the principle of superposition is not applicable here, since the parameters of the output signal cannot be determined by algebraic summation of the signals received separately from each source. The spectrum of an input amplitude- modulated signal is nonlinearly related to the spectrum at the output. Aim. The conversion of the current spectrum under supplying an amplitude-modulated voltage to an active non-linear element with a non-linear current-voltage characteristic is considered. Materials and methods. In the analysis of the spectral transformation, a power approximation of the current-voltage characteristic in the form of a polynomial of the third degree with trigonometric functions is used. In the examples, spectrum transformations for a mono signal, amplitude-modulated signal, and beats are considered. Application of amplitude modulation methods is essential for transferring the spectrum of the signal to the low frequency region. Results. A graphical representation of the dependence of the current function on time for an AM signal and beats, as well as their spectral representation, is given. Conclusion. The paper analyzes the transformation of the signal spectrum for the current when applying any, but amplitude-modulated voltage on the ohmic nonlinear element. The carrier signal is represented as a harmonic trigonometric function of the cosine of the current time. However, signal spectrum conversion has not related with detection. Введение. Во многих физических процессах наблюдается перенос спектра модулированного сигнала в низкочастотную область, что проявляется и в активных диэлектриках при радиозвуке. В общем случае анализ процесса преобразования спектра является очень сложной задачей, связанной с решением системы нелинейных дифференциальных уравнений. И в принятой форме принцип суперпозиции здесь не применим, поскольку параметры выходного сигнала не могут быть определены алгебраическим суммированием сигналов, получаемых раздельно от каждого источника. Спектр входного амплитудно-модулированного сигнала нелинейным образом связан со спектром на выходе. Цель исследования. Рассматривается преобразование спектра тока при подаче амплитудно-модулированного напряжения на активный нелинейный элемент с нелинейной вольтамперной характеристикой. Материалы и методы. В анализе спектрального преобразования применяется степенная аппроксимация вольтамперной характеристики в виде полинома третьей степени с тригонометрическими функциями. В примерах рассматриваются преобразования спектра для моносигнала, амплитудно-модулированного сигнала и биений. Применение амплитудных методов модуляции необходимо для переноса спектра сигнала в область низких частот. Результаты. Приводится графическое представление зависимости функции тока от времени для амплитудно-модулированного сигнала и биений, а также их спектрального представления. Заключение. В работе анализируется преобразование спектра сигнала для тока при подаче амплитудно-модулированного напряжения на омическом нелинейном элементе. Несущий сигнал представлен в виде гармонических тригонометрических функций косинуса текущего времени. Однако преобразование спектра сигнала никак не связано с детектированием.

Keywords

УДК 621.373, nonlinear element, амплитудная модуляция, amplitude modulation, нелинейный элемент, beats, вольтамперная характеристика, биения, current-voltage characteristic

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    3
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
gold