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

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