Synthesis of Discrete Filters by Invariant Differential Equations
Abstract
Introduction: When creating such information processing systems as Doppler speed and acceleration meters, moving target selection systems, radio altimeters with frequency modulation of the carrier signal, or coordinated devices for detecting and evaluating the parameters of objects, the developers use a variety of filters synthesized by the methods of bilinear z transformation and invariant impulse or transient characteristics. Purpose: Creating a technique for synthesizing discrete filters using differential equations of their counterpart continuous filters. Results: In the general form, in order to derive difference equations describing the operation of the discrete filters you synthesize, the differential equation derivatives are replaced by their counterparts in the form of difference equations. The weight coefficients for filters of various orders are listed in a table. The calculation has shown that when the discreteness period is chosen properly, the frequency characteristics of the synthesized filters practically coincide with those of the corresponding continuous filters. As an example, difference equations for low and high frequency filters, oscillatory links, notch filters and selective filters were obtained on the basis of known differential equations of the counterpart continuous filters which can be used in measuring the speed, range or angular position of an object. Practical relevance: The proposed technique allows you to create a variety of linear systems, such as low or high frequency filters, oscillatory links, notch or selective filters used in various information processing systems.Published
2018-06-01
How to Cite
Ziatdinov, S., Osipov, L., & Sokolova, Y. (2018). Synthesis of Discrete Filters by Invariant Differential Equations. Information and Control Systems, (3), 10-16. https://doi.org/10.15217/issn1684-8853.2018.3.10
Issue
Section
Theoretical and applied mathematics