"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 5, 2019

contents of issue      DOI  10.30898/1684-1719.2019.5.7     full text in English (pdf)  

Analyzing the Two-Stage Structure of Narrowband IIR Filters


 Vladimir V. Vityazev, Ruslan S. Goriushkin

Department of Telecommunications and Radio Engineering of Ryazan State Radio Engineering University, Gagarina Str. 59/1, Ryazan 390005, Russia 

The paper is received on April 25, 2019 

Abstract. The usage of digital filters with infinite impulse response (IIR) allows reducing computing and hardware costs significantly. However, the instability of such filters prevents their wide usage. This problem is obvious when creating narrowband filters under conditions of limited hardware resources and limited capacity of digital filter coefficients. This work aims to analyze the stability of a two-stage form, in particular an interpolated IIR filter and a smoothing filter with an infinite impulse response.

Keywords: digital signal processing; narrowband digital filter; IIR-filter; interpolated filter; smoothing filter; multistage filter.


1.     B.A.Shenoi. Introduction to Digital Signal Processing and Filter Design. Wiley-Interscience, 2005

2.     V.V.Vityazev. Mnogoskorostnaja obrabotka signalov [Multirate signal processing], Moscow, Gorjachaja linija – Telekom Publ., 2017. (In Russian)

3.     V.V.Vityazev, R.S.Goriushkin. Issledovanie ustojchivosti cifrovyh grebenchatyh fil'trov [Analysing stability of the digital interpolated filters]. 17th International Conference «Digital Signal Processing And Its Applications – DSPA 2015», Moscow, Vol.1, pp 135-138.

4.     V.V.Vityazev, S.I.Murav'yev, A.I.Stepashkin. Method of Designing Digital Passband Filters With an Infinite Memory. Telecommunications and Radio Engineering (English translation of Elektrosvyaz and Radiotekhnika), 1984, Vol. 38-9, No. 11, pp. 53-57, 1984

5.     R. Lyons. Improved Narrowband Low-Pass IIR Filters in Fixed-Point Systems. IEEE Signal Processing Magazine, 2009, Vol 5, pp. 128-132

6.     T. A. Ramstad, T. Saramaki.  Multistage, Multirate FIR Filter Structures for Narrow Transition-Band Filters Proc. 1988, IEEE Int Symp. Circuits and Systems – ISCAS, New Orleans, Louisians, 2017-2021

7.     R. Lyons. Interpolated narrowband low-pass FIR filters. IEEE Signal Processing Magazine, 2003, Vol. 20, No. 1, pp. 50–57


For citation:

Vladimir V. Vityazev, Ruslan S. Goriushkin. Analyzing the Two-Stage Structure of Narrowband IIR Filters. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No.5. Available at http://jre.cplire.ru/jre/may19/7/text.pdf

DOI  10.30898/1684-1719.2019.5.7