Application of Parametric DFT for Measuring Harmonic Signal Amplitude

The article discusses the development and implementation of effective and efficient digital information technologies in measurement procedures. The problems of measuring the amplitude of a discrete harmonic signal (DBS) specified on a finite interval by the method of discrete Fourier transform (DFT) are investigated. To solve the problems of measuring the amplitude of DBS by DFT method, it is proposed to use authors' parametric discrete Fourier transform (DFT-P) which is a generalization of discrete Fourier transform. The theoretical framework for measuring the amplitude of DBS based on DFT-P is developed. The reasons for the non-invariance of the DBS energy spectrum specified on a finite interval in DFT-P basis to the shift of the initial signal are investigated. The experimental verification carried out by method of numerical simulation confirmed the theoretical results obtained in the work.