Abstract

Objectives. The article is devoted to the development of a method for designing analogue filters, including active, which differs from known methods due to the fundamentally different approach taken to the selection of optimisation criteria. Methods. Most contemporary methods, as a rule, calculate the parameters of filter forming electronic components based solely on the required values of the transfer function polynomial coefficients. At the same time, the maintenance of the required stability and reproducibility of filter characteristics is achieved primarily by technological methods; for example, by using precision elements. Nevertheless, it is possible to achieve a similar effect in a different way, namely, by appropriate choice of the circuit component parameter values. This approach is possible by selecting the individual circuit component values in an arbitrary manner, while the necessary transfer function polynomial coefficients are obtained by selecting the values of the remaining elements. Thus, having solved the optimisation task, it is possible to achieve optimal design results in accordance with the chosen quality criterion. Results. In this paper, the e-layer model is proposed as the basis for this criterion, according to which either the deviations of the transfer function or the signal passed through the filter should be minimally different from the given type and be located within the given layer, either in the entire domain of the function or signal definition, or in the most significant defined range. Conclusion . The software package for the calculation of active filters is developed according to the proposed approach. The productivity of its application is confirmed by experimental studies and the calculations performed using this application.

Highlights

  • The article is devoted to the development of a method for designing analogue filters, including active, which differs from known methods due to the fundamentally different approach taken to the selection of optimisation criteria

  • It is possible to achieve a similar effect in a different way, namely, by appropriate choice of the circuit component parameter values

  • This approach is possible by selecting the individual circuit component values in an arbitrary manner, while the necessary transfer function polynomial coefficients are obtained by selecting the values of the remaining elements

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Summary

Introduction

Это не позволяет задавать эти значения в точном соответствии с результатами расчета, что может привести к отклонению формы амплитудно-частотной характеристики (АЧХ) от требуемого вида. Применительно к решению задачи расчета фильтров -слой может описывать вариации какой-либо описывающей его функции, например, АЧХ. Можно также усилить постановку задачи, потребовав, чтобы при заданных допустимых вариаций параметров компонентов фильтра минимизировать толщину слоя, в которой могут наблюдаться вариации АЧ относительно ее идеального вида.

Objectives
Results
Conclusion

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