Формування випробувальних сигналів спеціальної форми на основі експоненціальних сплайнів

dc.contributor.authorШумков, Ю. С.
dc.contributor.authorГрашенко, М. В.
dc.contributor.authorДараган, В. C.
dc.date.accessioned2023-04-25T12:39:38Z
dc.date.available2023-04-25T12:39:38Z
dc.date.issued2018
dc.description.abstractotherThe usage of special form test signals, that is sum of exponentials allows to increase productivity and simplify technique for parameters monitoring of complex multi-element electrical circuits. The discrete synthesis technique to generate such signals based on exponential spline models is proposed. Special exponential splines are considered in article. This splines are based on functions that described real transient signals in linear circuits. A definition of such splines is given. Exponential splines can be expressed as a combination of basis splines on finite interval. The essence of the method of generating test signals is to represent such signals as a sum of time-shifted finite exponential splines with weight coefficients. The circuit generalized model of signal formation by splines (splineapproximation filter) is analyzed. The model includes a pulse element, a reduced discrete part, and a reduced continuous part. The transfer function equation of the reduced continuous part determines the type of functions that produced spline on each sampling interval. Requirements to ensure continuity of the spline function and its derivatives for the transfer function of continuous part are proposed. The choice of transfer func-tion type of the reduced discrete part ensures the finite duration of basis functions. It is shown that the basis exponential spline is a reaction of such a circuit to a single discrete sample (impulse response characteristic). This approach allows to synthesize many different exponential splines based on typical models of linear electric circuits. Examples of synthesized splines of the second and third orders are given. The implementation of signal formation method based on exponential splines increases the accuracy of exponential test signals generation with limited number of approximation sections, namely signals that are described by the same functions as splines. This will improve the accuracy of measuring the parameters of electrical circuits and expand the range.uk
dc.format.pagerangeС. 30-40uk
dc.identifier.citationШумков, Ю. С. Формування випробувальних сигналів спеціальної форми на основі експоненціальних сплайнів / Ю. С. Шумков, М. В. Грашенко, В. C. Дараган // Механіка гіроскопічних систем : науково-технічний збірник. – 2018. – Вип. 35. – С. 30-40. – Бібліогр.: 8 назв.uk
dc.identifier.doihttp://dx.doi.org/10.20535/0203-3771352018128611
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/54906
dc.language.isoukuk
dc.publisherКПІ ім. Ігоря Сікорськогоuk
dc.publisher.placeКиївuk
dc.subject.udc621.317uk
dc.titleФормування випробувальних сигналів спеціальної форми на основі експоненціальних сплайнівuk
dc.typeArticleuk

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