I.E. Zhigalov - Dr. Sc. (Eng.), Professor, Head of Department of Information Systems and Program Engineering, Vladimir State University named after A.&N. Stoletovs. E-mail: ikgij@vlsu.ru M.I. Ozerova - Ph. D. (Eng.), Associate Professor, Department of Information Systems and Program Engineering, Vladimir State University named after A.&N. Stoletovs. E-mail: ozerovam@rambler.ru I.A. Novikov - Post-graduate Student, Department of Information Systems and Program Engineering, Vladimir State University named after A.&N. Stoletovs. E-mail: anvi.x11@gmail.com

Performance models of complex electronic circuits as a set of functional blocks with the formation of their mathematical models with functional series approach allows us to carry out the structural optimization of the macromodel according to the criteria of nonlinear properties. To describe the nonlinear functional block is used the functional series approach, to compute the kernels of which is used the Volterra series. It is assumed that the functional blocks included in the model of nonlinear electronic devices are unidirectional and aligned, and the transfer operator of each nonlinear block can be described by the truncated functional series. Such a description allows us to consider the optimization of the structure of a nonlinear electronic device according to the sustainability criteria of the transfer operator in relation to input and influence on the criteria of minimizing nonlinear distortion of the converted signal. If when considering the structural properties of the nonlinear device to proceed from the time domain to the frequency domain, the modeling is simplified by replacing the integrals and sums in works. When considering the structure of the electronic circuit in the frequency domain, additional assumptions are the following: all nonlinear transformations in the device occur only in a given frequency band, and nonlinear effects and instability shall consist only of non-linear devices are defined by their parameters.

 

1. ZHigalov I.E., Ozerova M.I., Novikov I.A. Modelirovanie nelinejjnykh ehlektronnykh ustrojjstv s ispolzovaniem funkcionalnykh rjadov // Dinamika slozhnykh sistem. 2014. T. 8. № 5. S. 16−23.
2. ZHigalov I.E., Ozerova M.I., Novikov I.A. Makromodelirovanie nelinejjnykh ehlektronnykh ustrojjstv s ispolzovaniem funkcionalnykh rjadov // Dinamika slozhnykh sistem. 2015. T. 9. № 2. S. 15−19.
3. Pupkov K.A., Kapalin V.I., JUshhenko A.S. Funkcionalnye rjady v teorii nelinejjnykh sistem. M.: Nauka. 1976. 448 s.
4. Metody nelinejjnykh funkcionalov v teorii ehlektricheskojj svjazi / Pod red. B.M. Bogdanovicha. M.: Radio i svjaz. 1990. 280 s.
5. Danilov L.V. Rjady Volterra-Pikara v teorii nelinejjnykh ehlektricheskikh cepejj. M.: Radio i svjaz. 1987. 224 s.
6. ZHigalov I.E., Ilin V.N., Lancov V.N. Rasshirenie vozmozhnostejj primenenija apparata rjadov Volterra v programmakh ASkhP // Izvestija VUZov. Ser. Radioehlektronika. 1985. № 9. S. 49−54.
7. Volterra V. Teorija funkcionalov, integralnykh i integro-differencialnykh uravnenijj. M.: Nauka. 1982. 304 s.
8. Bogdanovich B.M., Bachilo L.S. Proektirovanie usilitelnykh ustrojjstv. Mn.: Vysh. shk. 1985. 237 s.
9. Danilov L.V., Soloveva E.B. Makromodelirovanie sushhestvenno nelinejjnykh ehlektricheskikh cepejj na osnove funkcionalnykh polinomov // Izvestija VUZov. Ser. Radioehlektronika. 1990. T.33. № 6. S. 3−7.
10. Ilin V.N., ZHigalov I.E., Lancov V.N. Metody avtomatizirovannogo skhemotekhnicheskogo proektirovanija nelinejjnykh radiotekhnicheskikh cepejj // Izvestija VUZov SSSR. Ser. Radioehlektronika. 1985. T. 28. № 6. S. 7−17.
11. ZHigalov I.E. Avtomatizirovannoe funkcionalno-skhemotekhnicheskoe modelirovanie nelinejjnykh ustrojjstv // Radiotekhnika. 2001. № 4. S. 32−36.
12. ZHigalov I.E., Ozerova M.I., Novikov I.A. Modelirovanie nelinejjnykh ehlektrony ustrojjstv s uchetom vzaimodejjstvija funkcionalnykh blokov // Proektirovanie i tekhnologija ehlektronnykh sredstv. 2014. № 3. S. 23−27.
13. Bukashkin S.A. Matematicheskoe makromodelirovanie nelinejjnykh dinamicheskikh ehlektrony skhem // Izvestija VUZov. Ser. Radioehlektronika. 1988. T. 31. № 6. S. 59−64.