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The metod simplifing inverse Laplace transformatijn at ossillatory processes researchet: Учебное пособие

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Первый авторZolotarev I. D.
Страниц66
ID342
АннотацияThe research method processes in oscillatory systems in stated.It permits essenyial simplification of the most difficult operation in finding solution of a sistem differential equation - inverse Laplace transformation.
Кем рекомендованоСибирским региональным отделением учебно-методического объединения по образованию в области энергетики и электротехники в качестве учебного пособия
Кому рекомендованодля студентов, обучающихся по направлениям 654200 "Радиотехника", 654400 "Телекоммуникации", 645500 "Электротехника, электромеханика и электротехнология"
ISBN--5-7779-0472-6
УДК621.396.6+517.442(075)
ББК82
Zolotarev, I.D. The metod simplifing inverse Laplace transformatijn at ossillatory processes researchet: Учебное пособие / I.D. Zolotarev .— опубликовано впервые .— 2004 .— 66 с. — ISBN --5-7779-0472-6

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Sc., professor (Head of Applied Mathematics Chair of Omsk State University of Transport) V.K. Okishev Translated by D.A. Timochenko Z 82 I.D. Zolotarev THE METHOD SIMPLIFYING INVERSE LAPLACE TRANSFORMATION AT OSCILLATORY PROCESSES RESEARCHES. <...> THE "AMPLITUDE, PHASE, FREQUENCY" PROBLEM IN RADIOELECTRONICS AND ITS SOLUTION Tutorial This book is recommended by Siberian regional department of teaching methological association education in the field of energetics and electrotechniques as educational textbook for interuniversity practice Zolotarev I.D. The Method Simplifying Inverse Laplace Transformation At Oscillatory Processes Researches. <...> The "Amplitude, Phase, Frequency" Problem In Radioelectronics And Its Solution / Transl. by DA Timochenko: Tutorial. – Omsk: OmSU Publishing, 2004. – 132 p. <...> ISBN 5-7779-0472-6 The research method of transient processes in oscillatory systems is stated. <...> It permits essential simplification of the most difficult operation in finding solution of a system differential equation – inverse Laplace transformation. <...> It is shown that complex signal provides correct definition of an envelope and phase of a real signal using this method. <...> The obviousness of obtained solutions is achieved by engaging the spectral method. <...> The examples of transient processes calculation in developing radioelectronic devices are given. <...> Д., 2004 © Омский госуниверситет, 2004 © Zolotarev I.D., 2004 © Omsk State University, 2004 © Timoshenko D.A., transl. from Rus. into Engl., 2004 ISBN 5-7779-0472-6 2 INTRODUCTION At development of radioelectronic devices for different purposes an engineer frequently has to solve a researching problem of impulse radiosignals passing through linear circuits. <...> For solving the task in the time domain the operational calculus based on integral Laplace transformations is widely used. <...> When considering the task in the frequency domain the spectral method based on integral Fourier transformations is applied. <...> Both these research approaches are tightly interlinked among themselves and sometimes are considered as a uniform method (the method of Fourier transformation). <...> When finding a response of a radioelectronic device (RED) to an impulse energization applying the operational calculus the most difficult operation is the inverse Laplace transformation (ILT) execution [1]. <...> The difficulty of ILT especially increases for important radioelectronic applications when a radioimpulse <...>