Радіоелектроніка та телекомунікації. – 2013. – №766
Permanent URI for this collectionhttps://ena.lpnu.ua/handle/ntb/23156
Вісник Національного університету "Львівська політехніка"
У віснику відображено результати досліджень з теорії і проектування радіо-електронних кіл та пристроїв, антен і пристроїв НВЧ-діапазону, систем телекомунікації та інформаційних мереж, а також математичного моделювання та конструювання радіо-електронних схем і радіоапаратури. Для наукових працівників, інженерів та студентів старших курсів, фахівців з радіотехніки, інформаційних технологій та телекомунікаційних систем, матеріалознавства, інформатики, вимірювання і контролю якості.
Вісник Національного університету «Львівська політехніка» : [збірник наукових праць] / Міністерство освіти і науки України, Національний університет «Львівська політехніка» – Львів : Видавництво Львівської політехніки, 2013. – № 766 : Радіоелектроніка та телекомунікації / відповідальний редактор Б. А. Мандзій. – 212 с. : іл.
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Item Cистема MAOPCS для багатоваріантного аналізу та оптимізації лінійних параметричних кіл у середовищі matlab(Видавництво Львівської політехніки, 2013) Шаповалов, Ю. І.; Бачик, Д. Р.; Маньковський, С. В.This paper considers the software realization the system of functions MAOPCs (Multivariate Analysis and Optimization of the Parametric Circuits) for multivariate analysis and optimization of linear parametric circuits based on frequency symbolic method. This method is based on the formation of the approximated transfer functions of linear parametric circuits in the form of Fourier trigonometric polynomials. The use of symbolic transfer functions allowed to form functions of sensitivity of linear parametric circuits, which, in turn, allowed to calculate the relative deviations of functions of linear parametric circuits at change of their parameters. The further development of frequency symbolic methods allowed to solve the task of multivariate analysis and optimization. The system of functions MAOPCs realized in the environment of MATLAB. The presence of powerful mathematical symbolic apparatus in MATLAB allowed to realize this system. The system MAOPCs represents a 17 functions, each of which has parameters (input data) and arguments and performs over them defined the conversions. The results obtained during the execution of one function (in some cases of several functions) can be parameters to other functions. Thus, based on of the developed system of functions the user can create algorithms and programs of computer computational experiments for multivariate analysis and optimization of parametric circuit, which we investigate. For research of linear parametric circuits in the environment ofMATLAB, using a system MAOPCs, need perform the system requirements. They are consist in the fact that, necessary to create the file with text of programof research of circuit , where indicate: parameters that carry information about the circuit, accuracy of calculations, location to save the results, the parameters of functions, functions MAOPCs in the sequence that corresponds to the algorithm of carrying out of investigation. After it is necessary execute the file in the environment of MATLAB. Research results are saved in another file. These results together with the intermediate data we can view using MATLAB, which will be displayed in working window. The example of research of single-circuit parametric amplifier using the system of functions MAOPCs is presented. In the task on research are described an algorithm of carrying out of experiment. The fragments (screenshots) of file, where describes the parameters and algorithm research are presented and fragment (screenshot) with reflection of results in working window ofMATLAB also is presented. Conclusions are drawn about what system functions MAOPCs allows you to: – compose an algorithm and a program of carrying out of computational experiments of research of linear parametric circuits without delving into the depths of mathematical apparatus of the realized methods and using the powerful symbolic apparatus and other internal functions in MATLAB in full; – locate functions in any order and replenish her new functions. Розглянуто програмну реалізацію системи функцій MAOPCs для багатоваріантного аналізу та оптимізації лінійних параметричних кіл на основі частотного символьного методу.Item Особливості визначення чутливості лінійних параметричних кіл у частотній області(Видавництво Львівської політехніки, 2013) Шаповалов, Ю. І.In software which are dedicated for the design of electronic circuits with constant parameters is widely used function of sensitivity, which allows you to focused solve the tasks of multivariate analysis and optimization of such circuits. The function of sensitivity of linear parametric circuits not used widely because there was no reliable methods of symbolic computation of parametric transfer functions. We proposed such method (frequency symbol method [3]), so, filling the existing gap in article discusses the possibility of forming functions of sensitivity of linear parametric circuits and is given account the peculiarities of their determination. For a basis of definition the concept of sensitivity of linear parametric circuit was taken definition of the concept of sensitivity of linear circuits with constant parameters. This feature of sensitivity of linear parametric circuit which consists in the fact that this sensitivity: a) is a function of two variables – complex variable and time; b) by the frequency symbolic method is determined based on approximated parametric transfer functions. It is shown that, typically, the sensitivity of parametric linear circuit varies periodically in time with period T, which is chosen in presentation the transfer function by trigonometric polynomial of Fourier. It was emphasized that the sensitivity of some parameters of parametric circuit in time can grow infinitely. This applies to the parameters that define the period T. We considered the example of elementary parametric linear circle, consisting of a single parametric capacity. The example illustrates the change the different functions of sensitivity of such circuit in time. It is shown that at sufficient accuracy of approximation of parametric transfer function by trigonometric polynomial of Fourier, derivatives on parameters of elements of circuit obtained from approximated parametric transfer functions enough to accurately reproduce derivatives on parameters of elements of circuit the original parametric transfer functions and, therefore, can be used to form the functions of sensitivity, as well as in solution of tasks multivariate analysis and optimization of linear parametric circuits. This conclusion shows a perspective application of frequency symbolic method to the mentioned problems. For illustration of material relating to the correctness of the definition of derivatives of parametric transfer functions on parameters of elements of parametric circuit is selected single-circuit parametric amplifier, in oscillatory contour, which the capacity varies with a period T. It is shown when the number of harmonic components in the approximated parametric transfer function k³ 4 then results in the calculation of the derivative of this function on the parameter does not change. Therefore, the value of derivatives that were obtained when k=4 were taken as a basis in these calculations. Obviously, the calculation for the selected k<4 will be inaccurate, and if k>4 it takes unjustified big time. It is shown the dependence the sensitivity of module of transfer coefficient of the input current to the output voltage from the depth of modulation of parametric capacity and time. Розглянуто особливості визначення чутливості лінійних параметричних кіл за апроксимації передавальних функцій тригонометричними поліномами Фур’є.