Journal of Radio Electronics. eISSN 1684-1719. 2026. №2
Full text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2026.2.1
EFFECT OF WEIGHTING FACTOR QUANTIZATION
ON THE FREQUENCY CHARACTERISTICS OF DIGITAL FILTERS
S.I. Ziatdinov, V.I. Isakov
St.-Petersburg State University of Aerospace Instrumentation
190000, St. Petersburg, Bolshaya Morskaya, 67
The paper was received December 10, 2025.
Abstract. Introduction. Currently the most widely used digital signal processing methods are those using specialized digital computers, which utilize analog-to-digital conversion of not only the input signals but also the weighting coefficients of the digital filters. This conversion results in quantization noise in the input signals, which reduces the efficiency of the specialized computer. The operating algorithms of these specialized computers are determined by the discrete transfer functions of the digital filters. The transfer function of a specific digital filter is determined by a set of weighting coefficients, which, like the input signals, are quantized by level and loaded into the computer memory. When quantizing the weighting coefficients, errors arise, the magnitude of which is determined by the quantization step. Weighting coefficient quantization errors inevitably affect the frequency properties of digital filters. Objective. To evaluate the influence of the weighting coefficient quantization step on the frequency characteristics of digital low-pass and high-pass filters, band-pass and notch filters of various orders. Method. The study utilized the bilinear z-transformation of the frequency transfer functions of continuous analog filters. Results. Transfer functions in the z-plane of digital low-pass and high-pass filters, band-pass and notch filters of various orders were obtained. Distortions in the frequency transfer functions of digital filters were calculated as a function of the weighting coefficient quantization step. Conclusions. Quantization of weighting coefficients leads to inevitable distortions in the frequency transfer functions of digital filters, the extent of which is determined by the quantization step size. The influence of the quantization step on the resulting distortions in the frequency transfer functions of digital filters must be taken into account when designing digital computers, specifically when selecting the number of binary digits and the quantization step size of a specialized computer. The results of this work will be of great use to designers of digital signal processing devices.
Keywords: digital filter, frequency transfer function, quantization, weighting coefficients.
Corresponding author: Ziatdinov Sergei Ilyich, ziat.53@mail.ru
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For citation:
Ziatdinov S.I., Isakov V.I. The influence of quantization of weight coefficients on the frequency characteristics of digital filters // Journal of Radio Electronics. – 2026. – №. 2. https://doi.org/10.30898/1684-1719.2026.2.1 (In Russian)