Accuracy of Spectral Analysis Based on Difference Digital Filtering

The issues related to the study of the problem of accuracy of digital signal processing are considered. The purpose of the study is to estimate the error of difference digital filtering. Research methods - mathematical and hardware-software modeling of digital filters on programmable logic integrated circuits. An estimate of the error of differential digital filtering with integer difference coefficients is proposed and presented. It is shown that digital methods of spectral analysis based on difference digital filters with integer coefficients are not accurate, but the selection of values of the order of difference digital filtering and the order of its difference ensures the discrete Fourier transform without multiplication operations. It is proposed to increase the accuracy of spectral analysis by increasing these orders of magnitude, since the degree of approximation to the desired level of accuracy is determined by the permissible level of hardware costs for the computational algorithm of the method used.