Possible Approach to Prediction of Harmonic Amplitudes in the Considered Signals

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
  
© 2021 by IJETT Journal
Volume-69 Issue-3
Year of Publication : 2021
Authors : Alexey Alexeevich Lyubomudrov, Elman Said-Mokhmadovich Akhyadov, Yuriy Mikhailovich Lagusev
DOI :  10.14445/22315381/IJETT-V69I3P228

Citation 

MLA Style: Alexey Alexeevich Lyubomudrov, Elman Said-Mokhmadovich Akhyadov, Yuriy Mikhailovich Lagusev "Possible Approach to Prediction of Harmonic Amplitudes in the Considered Signals" International Journal of Engineering Trends and Technology 69.3(2021):185-188. 

APA Style:Alexey Alexeevich Lyubomudrov, Elman Said-Mokhmadovich Akhyadov, Yuriy Mikhailovich Lagusev. Possible Approach to Prediction of Harmonic Amplitudes in the Considered Signals  International Journal of Engineering Trends and Technology, 69(3),185-188.

Abstract
This article describes the approach to the determination of harmonic amplitudes in the considered signals. The approach assumes multiplication of the considered signal containing harmonics by an auxiliary sinusoidal signal containing unit amplitude and harmonic frequencies of initial signal with the subsequent taking of definite integral of the generated product over time. This approach is validated by taking the exact integral of the initial signal presented by the sinusoidal constituent. It has followed from the exact solution that the integral value equals harmonic amplitude with the precision up to the coefficient and additive constituent. This has confirmed that the calculated integral is the amplitude-frequency spectrum. Then, for direct prediction of amplitude, the exact value of the integral without loss of correctness has been converted into the form suitable for parallel calculations using PC. The considered approach is valid, provided that the mutual influence of harmonics upon determination of amplitudes can be neglected.

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Keywords
spectral analysis, current amplitude-frequency spectrum, harmonics, amplitude, prediction of amplitudes.