Review Article Open Access

ABOUT THE INFLUENCE OF THE INITIAL PHASE OF THE HARMONIC COMPONENTS ON THE CURRENT AMPLITUDE-FREQUENCY SPECTRUM

Abstract

This article is aimed at assessing the influence of the initial phases of sinusoidal components contained in the studied signals on generated amplitude-frequency spectrum. The value of the initial phases of the sinusoidal components is initially unknown. This hamper studying their influence on spectrum formation and, accordingly, on assessing the harmonic components amplitude values with specified accuracy. This article is aimed at obtaining a formula that reflects, with specified initial limitations, formation of the current amplitude-frequency spectrum in time, and considers the influence of the initial phases of sinusoidal components on spectrum formation. According to the obtained formula, the above-mentioned effect takes place and decreases in time with formation of the amplitude-frequency spectrum. Decreasing influence allows to reduce the effect of initial phase on the generated spectrum to the required value. This is achieved by selecting the appropriate values of time intervals for spectra formation, and, in turn, allows to obtain spectra that do not significantly depend on the values of initial phases. Thus, the obtained results may be the basis for obtaining values of spectra and, correspondingly, amplitudes of the sinusoidal components with specified accuracy; they also create the theoretical basis that may be useful for subsequent analytical calculations.

ALEXEY ALEXEEVICH LYUBOMUDROV

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