Neural networks associated with the “black box” models of non-linear dynamic systems
The behavioral models of nonlinear dynamic systems are constructed with using the sets of input and output signals as well as taking into account information (knowledge) about these systems. Depending on the volume of a priori assigned knowledge, three levels are distinguished, namely, “white, grey and black box”. The less volume of information about a dynamic system is known, the darker an investigated object is getting. The reasons of turning to the “black box” methodology are the following: the functional complexity of dynamic systems, the high level of the system integration, lack of the knowledge of system parameters and characteristics, new high requirements to the parameters and characteristics of precision technique.
The approximation of non-linear dynamic system operators by way of describing the input-output relationship with the help of mathematical models is considered. A neural network is one of famous mathematical models. The types of neural networks are represented as the universal approximators of non-linear operators. The classification of recurrent neural networks according to the feedback location is described. The recurrent Hammerstein network is used as a mathematical model of a non-linear compensator for digital communication channels. The source of non-linear signal distortion in communication channels is a power amplifier. It is found that the model of a non-linear compensator in the form of the recurrent Hammerstein network exceeds the two-layer perceptron network in the accuracy of signal processing and the Volterra polynomial in the simplicity of hardware implementation.
Elena Solovyeva received her M.Sc., Ph.D. and D.Sc. from Saint-Petersburg Electrotechnical University “LETI”, Russia in 1987, 1990 and 2002, respectively.
Prof. Elena Solovyeva is the Head of the Theoretical Electrical Engineering Department and the Academic Secretary of Saint-Petersburg Electrotechnical University “LETI”, Russia. She is the Full Member of Russian Academy of Electrical Engineering Sciences. Prof. Elena Solovyeva is the member of three dissertation counsels specializing in “Mathematical modelling, numerical methods and program complexes”, “Electrotechnology” and “Systems, networks and devices of telecommunication”.
Elena Solovyeva was awarded the Certificate from Ministry of Education and Science of the Russian Federation and the Medal “For Contribution to Electrical Engineering” from Russian Academy of Electrical Engineering Sciences.
She has over 200 publications including 6 monographs, 32 textbooks.
In 2004, 2006, 2008, 2009 Prof. E. Solovyeva was awarded research grants according to the joint program “Mikhail Lomonosov” of Education and Science Ministry (Russia) and the German Academic Exchange Service DAAD (Germany) to scientific investigation fulfilled in Otto-von-Guericke University of Magdeburg (Germany).
From 2009 to 2014, Prof. Elena Solovyeva had the contract with Huawei Technologies Company (China) devoted to the synthesis of digital predistorters for the linearization of power amplifiers in communication systems.
Since 2010, Prof. Elena Solovyeva has been taking part in the joint program of Saint-Petersburg State Electrotechnical University “LETI” and Technological Institute of Xuzhou (China) for education of Chinese bachelors.
Her research interests include identification, modelling and synthesis of non-linear analog and digital systems based on functional series, multidimensional polynomials and neural networks, as well as digital signal processing, the synthesis of digital non-linear filters, compensators, equalizers and other non-linear devices.
Dr. Yervant Zorian
Dr. Yervant Zorian is a Chief Architect and Fellow at Synopsys, as well as President of Synopsys Armenia. Formerly, he was Vice President and Chief Scientist of Virage Logic, Chief Technologist at LogicVision, and a Distinguished Member of Technical Staff AT&T Bell Laboratories. He is currently the President of IEEE Test Technology Technical Council (TTTC), the founder and chair of the IEEE 1500 Standardization Working Group, the Editor-in-Chief Emeritus of the IEEE Design and Test of Computers and an Adjunct Professor at University of British Columbia. He served on the Board of Governors of Computer Society and CEDA, was the Vice President of IEEE Computer Society, and the General Chair of the 50th Design Automation Conference (DAC) and several other symposia and workshops.
Dr. Zorian holds 35 US patents, has authored four books, published over 350 refereed papers and received numerous best paper awards. A Fellow of the IEEE since 1999, Dr. Zorian was the 2005 recipient of the prestigious Industrial Pioneer Award for his contribution to BIST, and the 2006 recipient of the IEEE Hans Karlsson Award for diplomacy. He received the IEEE Distinguished Services Award for leading the TTTC, the IEEE Meritorious Award for outstanding contributions to EDA, and in 2014, the Republic of Armenia's National Medal of Science.
He received an MS degree in Computer Engineering from University of Southern California, a PhD in Electrical Engineering from McGill University, and an MBA from Wharton School of Business, University of Pennsylvania.