Вычислительная эффективность интерполированных полосно-заграждающих фильтров для нечетных спектральных зон

Abstract

Interpolated band stop FIR filters are excluded. A block diagram of an interpolated band stop FIR filter for odd spectral regions is proposed. The use of the proposed maximum allowable value of the filter coefficient in comparison with the reference filter calculated by the classical method, namely the maximum allowable value of the quantitative limitation to the computing resource. For the proposed structure, relations are obtained to determine the coefficient of computational efficiency and the coefficient of increase in the number of registers. In the proposed work, the following values were determined: the optimal interpolation coefficient, the maximum coefficient of computational efficiency and the coefficient of increase in the number of registers at the optimal interpolation coefficient. In the obtained relations for the synthesis of the interpolated band-stop FIR filter, the values of the stop band and the central frequency of the rejection are used. We also compared the interpolated band stop filter for odd spectral zones, synthesized according to the proposed structure, and the reference band stop filter calculated by the classical method. As a result of the study, it was found that the proposed nature is used under specific conditions. The obtained structure of the interpolated band stop FIR filter is optimal from a computational point of view, however, the calculated structure is not universal. The main limitation for the application of the resulting structure is the discreteness of switching between spectral zones and the need for fine tuning of the center rejection frequency.