ПОДХОД К ОЦЕНКЕ ЧАСТОТЫ СПЕКТРАЛЬНОЙ СОСТАВЛЯЮЩЕЙ ЦИФРОВОГО СИГНАЛА ПО СПЕКТРУ С НИЗКИМ РАЗРЕШЕНИЕМ

Abstract

This paper examines certain methods of obtaining the exact frequency of the spectral component from the signal spectrum with insufficient resolution in order to clarify the accuracy of these methods and their applicability. The basic principles and the sequence of actions are given for the implementation of parabolic interpolation and frequency demodulation. These methods are applied to a synthesized signal containing a frequency component that cannot be determined directly from a low-resolution spectrum. The methods considered differ in the complexity of calculations and the accuracy of the results obtained. An introduction is made about the applicability of the considered methods for various tasks of vibration diagnostics. Purpose of the study. The article examines methods for obtaining an accurate frequency of a spectral component from a signal spectrum with insufficient resolution. The aim of the study is to determine the accuracy and applicability of the described methods. Materials and methods. The following methods were used to achieve the stated goal: parabolic interpolation and frequency demodulation. The article presents the basic principles and sequence of actions for implementing these methods. To verify the effectiveness of the used methods, a signal was synthesized containing a frequency component that cannot be directly determined from a low-resolution spectrum. Results. The methods of parabolic interpolation and frequency demodulation were applied to the synthesized signal. The results showed that the specified methods allow obtaining accurate values of the frequency of the spectral component even at low spectrum resolution. The considered methods differ in computational complexity and the accuracy of the obtained results. Conclusion. Based on the conducted research, it can be concluded that the methods of parabolic interpolation and frequency demodulation are effective for obtaining an accurate frequency of a spectral component from a signal spectrum with insufficient resolution. The results of the study can be used in various vibration diagnostics tasks. The conclusion notes that the choice of a specific method depends on the complexity of the calculations and the required accuracy of the results.