Синтез нерекурсивных дискретных фильтров во временной области

Abstract

Introduction: The transition from continuous filters to non-recursive discrete filters using the readings of impulsive characteristics of continuous filters-analogs leads to mistakes in forming transient processes. At the same time, the dynamic properties of the filters are fully determined by their transient characteristics. Synthesis of non-recursive discrete filters based on transient characteristics provides that their dynamic properties coincide with the dynamic properties of continuous filters. Purpose: The goal is to create a method for the synthesis of non-recursive discrete filters using transient characteristics. Method: We represent the impulsive characteristic of a discrete filter as the first final difference of its transient characteristic, and find the output signal using an imposition integral. Results: A new technique has been obtained for the synthesis of non-recursive discrete filter, which allows you to calculate the output signal of a filter when its input signal is given and the transient characteristic known. The theoretical results are substantiated by an example. Practical relevance: The obtained technique allows you to solve the problems of filtering signals in noises by using nonrecursive discrete filters whose dynamic properties coincide with the dynamic properties of continuous filters-analogs.