SYNTHESIS OF GENERATORS OF SINUSOIDAL OSCILLATIONS WITH IMPULSE STABILIZATION OF THE AMPLITUDE.

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Abstract

The behavior of solutions of differential equations with impulse actuation is investigated. It is shown that for certain conditions the solutions in the stationary regime have a rigorous sinusoidal shape. Optimum nonlinear functions are found for which the time to establish the stationary regime does not exceed 1-1. 5 periods of the oscillations being generated. The obtained equations are used to synthesize block diagrams for sinusoidal oscillation generators with small nonlinear distortions and transient processes. Experimental results that confirm the theoretical conclusions are presented.

Original languageEnglish
Pages (from-to)111-118
Number of pages8
JournalRadio Engineering and Electronic Physics (English translation of Radiotekhnika i Elektronika)
Volume29
Issue number10
Publication statusPublished - Oct 1984

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Nonlinear distortion
Differential equations
Stabilization

ASJC Scopus subject areas

  • Engineering(all)

Cite this

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title = "SYNTHESIS OF GENERATORS OF SINUSOIDAL OSCILLATIONS WITH IMPULSE STABILIZATION OF THE AMPLITUDE.",
abstract = "The behavior of solutions of differential equations with impulse actuation is investigated. It is shown that for certain conditions the solutions in the stationary regime have a rigorous sinusoidal shape. Optimum nonlinear functions are found for which the time to establish the stationary regime does not exceed 1-1. 5 periods of the oscillations being generated. The obtained equations are used to synthesize block diagrams for sinusoidal oscillation generators with small nonlinear distortions and transient processes. Experimental results that confirm the theoretical conclusions are presented.",
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AB - The behavior of solutions of differential equations with impulse actuation is investigated. It is shown that for certain conditions the solutions in the stationary regime have a rigorous sinusoidal shape. Optimum nonlinear functions are found for which the time to establish the stationary regime does not exceed 1-1. 5 periods of the oscillations being generated. The obtained equations are used to synthesize block diagrams for sinusoidal oscillation generators with small nonlinear distortions and transient processes. Experimental results that confirm the theoretical conclusions are presented.

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