Vestnik of Samara State Technical University. Technical Sciences SeriesVestnik of Samara State Technical University. Technical Sciences SeriesВестник Самарского государственного технического университета. Серия «Технические науки»1991-85422712-8938Samara State Technical University2134810.14498/tech.2019.2.%uInstrumentation, Metrology and Informative-measurings devices and systemsПриборостроение, метрология и информационно-измерительные приборы и системыResearch ArticleApproximation method for determining the pulse signal form and its intensity measurement with an available random noiseАппроксимационный метод определения формы и измерения интенсивности импульсного сигнала при наличии случайной помехиLangePeter K.ЛангеПетр Константинович
Russian Federation

(Dr. Sci. (Techn.)), Professor

(д.т.н., проф.), профессор

Info@eco-vector.comYaroslavkinaEkaterina E.ЯрославкинаЕкатерина Евгеньевна
Russian Federation

Ph.D. (Techn.)), Associate Professor

(к.т.н., доц.), заведующий

Info@eco-vector.comSamara State Technical UniversityСамарский государственный технический университет15062019272991120603202006032020Copyright ©; 2019, Lange P.K., Yaroslavkina E.E.Copyright ©; 2019, Ланге П.К., Ярославкина Е.Е.2019Lange P.K., Yaroslavkina E.E.Ланге П.К., Ярославкина Е.Е.https://creativecommons.org/licenses/by/4.0https://journals.eco-vector.com/1991-8542/article/view/21348

The paper deals with the issues of the operational measurement of a single pulse intensity, as well as the determination of its approximation model. The radar impulse envelope, as well as the peak signal of the analytical instrument, was chosen as the pulse. The pulse square and dispersion were chosen as a measure of intensity. To solve the problem, we use a spline-approximation of discrete samples of the pulse signal. The error of the spline - approximation of the pulse signal discrete values, as well as the error of approximation in the presence of random interference is determined. It is shown that the use of spline approximation reduces the effect of random noise. The characteristics of the proposed method are determined using parabolic¸ as well as cubic spline approximation. The analysis of the error of the considered method caused by the presence of a random additive interference is given. The characteristics of the considered method are determined when analyzing the Gaussian signal. The dependence of the error of the considered method on the intensity of the random noise is determined. The study was conducted for a uniform distribution of random noise. The structure of the system that implements the described method of spline-approximation of the signal samples is described. It is proposed to use the considered approximation method of measuring the pulsed Gaussian signal intensity when solving problems of its detecting against a noise background, as well as determining its boundaries. It is proposed to use the described methods, if necessary, to promptly determine the effective value of a periodic non-harmonic signal (during no more than half of its period) by determining the dispersion of its one half-wave. It is also proposed to use the described methods to determine the informative parameters of a pulse signal (the position of its beginning, end, amplitude).

Рассмотрены вопросы оперативного измерения интенсивности одиночного импульса, а также определения его аппроксимационной модели. В качестве импульса выбрана огибающая радиолокационного импульса, а также пик сигнала аналитического прибора. В качестве меры интенсивности выбрана площадь, а также дисперсия импульса. Для решения поставленной задачи используется сплайн-аппроксимация дискретных значений импульсного сигнала. Определена погрешность сплайн-аппроксимации дискретных значений импульсного сигнала, а также погрешность аппроксимации при наличии случайной помехи. Показано, что использование сплайн-аппроксимации снижает влияние случайной помехи. Определены характеристики предложенного метода при использовании параболической, а также кубической сплайн-аппроксимации. Приведен анализ погрешности рассмотренного метода, вызванной наличием случайной аддитивной помехи. Определены характеристики рассмотренного метода при анализе гауссового сигнала. Определена зависимость погрешности рассмотренного метода от интенсивности случайной помехи. Исследование проведено для равномерного закона распределения случайной помехи. Описана структура системы, реализующей описанный метод сплайн-аппроксимации дискретных значений сигнала. Предложено использовать рассмотренный аппроксимационный метод измерения интенсивности импульсного гауссового сигнала при решении задач обнаружения сигнала на фоне помех, а также определения его границ. Предложено использовать описанные методы при необходимости оперативного определения эффективного значения периодического негармонического сигнала (за время не более половины его периода) путем определения дисперсии его одной полуволны. Предложено также использовать описанные методы для определения информативных параметров импульсного сигнала (его положения начала, конца, амплитуды).

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