METHOD OF SYNTHESIS OF ANALOG-DIGITAL CLOSED-FORM FILTERS WITH LINEAR PHASE AND FINISHED PULSE WEIGHTING FUNCTION FOR MULTI-CHANNEL INFORMATION-MEASURING SYSTEMS 

Boris V. Chuvykin, Doctor of technical sciences, professor, professor of the sub-department of information and computing systems, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: chuvukin_bv@mail.ru
Irina A. Dolgova, Candidate of technical sciences, associate professor, associate professor of the sub-department of information and computing systems, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: dolgovair@mail.ru 

Background. The article discusses a method for synthesizing closed-form analog-to-digital filters with linear phase and finite pulse weighting function. Their use in multichannel information-measuring systems ensures minimal phase distortion and high accuracy of interchannel synchronization of measuring signals. Materials and methods. The issues of synthesizing transfer functions of closed-form analog-digital filters having a linear phase-frequency response and a finite pulse weighting function are considered. The novelty of the synthesis method lies in the use of elements of the theory of finite functions to formalize the necessary and sufficient mathematical conditions for achieving these characteristics. Variants of typical links included in the structure of closed-type analog-digital filters and the mathematical formulas necessary for calculating their transfer functions are considered. Results. The stages of designing analog-digital filters with a closed-loop multi-loop structure, a finite pulse weight function and a linear phase-frequency response are described. Examples are given of the design of closed-type analog-to-digital filters belonging to the class of integrating samplers. Analytical formulas and an example of calculating the coefficients of transfer functions of integrating discretizers up to the fourth order are given. Conclusions. It has been theoretically proven and illustrated that, if necessary and sufficient mathematical conditions are met, closed-form analog-to-digital filters can have a linear phase-frequency response and a finite pulse weighting function. The proposed method for synthesizing analog-digital filters can be used as a complement to existing algorithms for computer-aided design of analog and digital filters. The practical implementation of filters is promising on the basis of programmable analog-digital integrated circuits. 

analog-to-digital filter, linear phase, finite function, integrating sampler 

Chuvykin B.V., Dolgova I.A. Method of synthesis of analog-digital closed-form filters with linear phase and finished pulse weighting function for multi-channel information-measuring systems. Izmerenie. Monitoring. Upravlenie. Kontrol' = Measuring. Monitoring. Management. Control. 2024;(2):32–39. (In Russ.). doi: 10.21685/2307-5538-2024-2-4