ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
Menu

9
Issue
vol 62 / September, 2019
Article

DOI 10.17586/0021-3454-2016-59-10-828-834

UDC 621.396:681.323

SYNTHESIS OF RECURSIVE DISCRETE SYSTEMS IN TIME DOMAIN

S. I. Ziatdinov
St. Petersburg State University of Aerospace Instrumentation, Department of Information Network Technologies; Professor


L. A. Osipov
St. Petersburg State University of Aerospace Instrumentation, Department of Information Network Technologies; Professor


Read the full article 

Abstract. Specific problems in development of recursive discrete systems on the base of impulse characteristic readings are considered. By example of the low-frequency filter it is demonstrated that the use of existing methods for real-time calculation of coefficients of difference equation for recursive discrete system gives rise to deviation of the transient characteristics of the discrete system from analogous characteristics of analogous continuous system. The method of calculation of coefficients of difference equation for recursive discrete system with the use of the system transient characteristic is analyzed. The approach is shown to afford dynamic properties of discrete systems coinciding with the dynamic properties of a continuous system throughout the transient response. It is reported that the proposed method may be used for synthesis of recursive discrete systems of both the lower and upper frequencies of almost any order.
Keywords: frequency transmission function, impulse characteristic, transient characteristic, linear recursive discrete system, difference equation, coefficient

References:
  1. Vorob'ev S. N. Tsifrovaya obrabotka signalov (Digital Signal Processing), Moscow, 2013, 317 р. (in Russ.)
  2. Oppenheim A.V., Schafer R.W., Buck J.R. Discrete-Time Signal Processing, 2 Ed. Prentice Hall, 1999, 870 p. ISBN: 0137549202. (in Russ.)
  3. Kupriyanov M.S., Matyushkin B.D. Tsifrovaya obrabotka signalov (Digital Signal Processing), St. Petersburg, 2000, 592 р.