DOI 10.17586/0021-3454-2018-61-3-249-256
UDC 681.32
ESTIMATION OF FOURIER COEFFICIENTS ERRORS WHEN USING THE QUICK SPECTRAL ANALYSIS METHOD
Azerbaijan State Oil Academy, Department of Higher Mathematics, Baku;
A. N. Dzhapharova
Azerbaijan State Oil Academy, Department of Physics; Associate Professor
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Abstract. An algorithm of spectral analysis of measuring signals allowing for signal processing within the interval of observation is proposed. Effectiveness of the algorithm application is confirmed by presented estimates of the error in numerical determination of the Fourier coefficients. With the use of Bernoulli polynomials, the exact upper bound of error of the algorithm is evaluated. The obtained generalized expression for the error depending on the differential and spectral properties of the signal, as well as the acceptable error values allow for determining the parameters of the signal sampling.
Keywords: spectral analysis, complex Fourier coefficients, error of digital integration, exact upper bound of error, spectral and differential properties of signal
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