Scientific paper ID 2288 : 2022/3
MULTIPARAMETER SENSITIVITY ANALYSIS OF THE TRANSFER FUNCTION OF A T-SHAPED FILTER
Irina Asenova, Hristina Spiridonova
In the case of the synthesis of electrical filters, strict ments shall be imposed on both their frequency and time characteristics and the tolerances from the nominal values of the parameters of the elements. This problem is solved by the methods of the theory of sensitivity of electrical circuits. In its view, the calculation of the multiparametric sensitivity of the transmission function s finding its derivatives. Determining the sensitivity of circuit functions is a task the resolution of which is essential in the synthesis of electrical and electronic devices of different types and purposes. Finding this indicator is particularly necessary in the design of frequency selective devices, since they the accuracy of reproduction of their frequency characteristics too high. Sensitivity theory is a universal tool for solving a number of tasks related to the analysis and diagnosis of circuits. Sensitivity functions are used as a criterion for comparing different frequency-selective circuit configurations and are one of the most important indicators in their analysis. In the paper the multiparameter sensitivity analysis of the T-shaped filter is obtained in symbolic form. The sensitivity dependency of the transmission function on frequency was investigated and the relevant characteristic was built using the Mathcad programming product.
анализ на чувствителността модифициран граф на Coates предавателни функции T – филтърsensitivity analysis modified Coates flow graph transfer functions T-filter Irina Asenova Hristina Spiridonova
 M. Fakhfakh, E. Tlelo-Cuautle, and F.V. Fernández (Eds.), Design of Analog Circuits through Symbolic Analysis. Bentham Science Publishers Ltd., 2012.
 M. Fakhfakh and B. Rodanski (Eds.), Pathological Elements in Analog Circuit Design. Bentham Science Publishers Ltd., 2018.
 Coates, C. L.: “General topological formulas for linear networks “, IRE Trans. On Circuit Theory, vol. CT-5,1, 1958.
 G. A. Nenov and I. N. Georgieva, “Determination of signal-flow-graph transfer function sensitivity using first- and second-order derivatives and graphs,” 5-th Electronic Devices and Systems Conference, Brno, Czech Republic, 1998, pp. 291-294.
 M. Fakhfakh, E. Tlelo-Cuautle, and F.V. Fernández (Eds.), Design of Analog Circuits through Symbolic Analysis. Bentham Science Publishers Ltd., 2012, ch. 5
 F. Balik and B. Rodanski, “Calculation of first- and second-order symbolic sensitivities in sequential form via the transimpedance method,” Proc. ECCTD’99, 1999, pp. 70-73.
 M. Fakhfakh and M. Pierzchala, “Computing symbolic transfer functions of CC-based circuits using Coates flow-graph,” 5th International Conference on Design and Technology of Integrated Systems in Nanoscale Era, 10.1109/DTIS.2010.5487579, 2018.
 I. Asenova and Hr. Spiridonova, “Determination of the first-order transfer functions sensitivities of a T-shaped filter”, 5-th International Conference “KEIT” 2020.
 Hr. Spiridonova, „Frequency characteristics of a filter for optimal correction of the signal shape transmitted on a linear channel with constant parameters ”, 5-th International Conference “KEIT” 2020.