Igor I. Gorban, Dr. Sc., Professor, was born in Kiev on 30 August, 1952. In 1975 he graduated from Kiev Polytechnic Institute majoring in Hydroacoustics, and in 1978 - from postgraduate studies by the same major. He defended his Ph. D. thesis in 1980 at the MorPhysPribor Central Research Institute and his Dr. Sc. dissertation in 1991 at the Institute of Cybernetics of the Academy of Sciences (Ukraine). He was awarded academic rank of Senior Research Associate in 1989, and the rank of Professor in 2000. He worked at Kiev Research Institute of Hydroequipment until 1992, and participated in a number of developmental and research works. He was the First Deputy of Chief Designer of the sonar system with towed array, and was in charge of algorithms of the systems. He was also Chief Designer of a development project for creation of the sonar with the towed array based on optical element base, and a research adviser of two Pacific scientific expeditions for study of hydroacoustic signals. Since 1992 to this time, he works at the Institute of Mathematical Machines and Systems Problems in the capacity of a Principal Scientist and later of a Deputy Director in Science. From 2004 to 2008, he worked at the SE "UkrSRTC" as a Deputy Director General in Science.
Professor I. Gorban is the author of three theories: • the theory of space-time processing of hydroacoustic signals under complex dynamic conditions [1, 6, 7], • the theory of fast multi-channel processing of hydroacoustic signals [1, 6, 7], • the physical-mathematical theory of hyper-random phenomena [5, 8-12]. Results of Prof. I. Gorban's researchs were published in more than 200 scientific works, including 12 books, and implemented in the number of sonar systems.
Books
[1] Gorban, I.I. (1998). New approach in optimization of space-time signal processing in hydroacoustics: Course notes to the Tutorial on the conference Ocean'98. France: IEEE, 69. [2] Gorban, I.I. (1998). Handbook in the theory of stochastic processes and mathematical statistics for scientists and engineers. Kiev: Institute of cybernetics, NAS of Ukraine, 150. ISBN 966-02-0526-0. (In Russian). [3] Gorban, I.I. (2000). The bases of the theory of stochastic processes and mathematical statistics. Kiev: Kiev's Institute of Air Forces, 245. - ISBN 966-02-1669-6. (In Ukrainian). [4] Gorban, I.I. (2003). Probability theory and mathematical statistics for scientists and engineers. Kiev: Institute of Mathematical Machines and Systems Problem, NAS of Ukraine, 244. ISBN 966-02-2664-0. (In Ukrainian). See Abstract: The book introduces with the main sections of probability theory and mathematical statistics often used in practice by the scientists and engineers of various specializations. It is devoted to the theory of random variables and random functions, correlation theory, Markov random processes, random flows, sampling theory, the methods of estimation of parameters and distribution laws of random variables, regression analysis, the theory of statistical hypotheses testing, estimation of characteristics of random functions, as well as the questions of variance analysis, cluster analysis and robust statistical methods. The material is presented in concise style: on the base of ordered definitions, theorems, states, consequences, comments, warnings, notes and examples. The book is oriented at readers with basic mathematical knowledge within basis courses of technical universities [5] Gorban, I.I. (2007). Theory of hyper-random phenomena. Kiev: Institute of Mathematical Machines and Systems Problem, NAS of Ukraine, 184. ISBN 978-966-02-4367-5. (In Russian).See Abstract: The monograph is dedicated to the theory which describes physical phenomena in non-constant statistical conditions. The theory is a new direction in probability theory and mathematical statistics that gives new possibilities for presentation of physical world by hyper-random models. These models take into consideration the changing of object's properties, as well as uncertainty of statistical conditions. The book may be useful for scientists and engineers that develop methods of mathematical description of physical phenomena, create new physical and mathematical models, research and develop new methods of measurement, estimation, and detection. The book is oriented for readers which have knowledge of probability theory and mathematical statistics within base courses of technical universities. [6] Gorban, I. I. (2008). Processing of hydroacoustical signals in complicated dynamic conditions. Kiev: Naukova dumka, 272. ISBN 978-966-00-0752-9. (In Russian). See Abstract: The monograph is devoted to the theory of space-time signal processing accounting the complex antenna motion, noises, and inhomogeneous of the medium, as well as to complex fast multichannel space-time signal processing requiring low computational efforts. The book may be useful for researchers working under the problem of space-time signal processing optimization, programmers implementing the multichannel processing, and designers of sonar and radar systems. The book is oriented at readers with basic knowledge of applied hydroacoustics and signal processing within basis courses of technical universities. [7] Gorban, I.I. (2008). Mobile Sonar Systems: Optimization of Space-Time Signal Processing. Kiev: Naukova dumka, 240. ISBN 978-966-00-0753-6. See Abstract: The monograph is dedicated to optimization of space-time signal processing (STSP) with account of complex antenna motion, noise, and medium particularities together, and to development of fast multichannel STSP methods requiring low computational efforts. The book may be useful for researchers working under the problem of STSP optimization, programmers implementing the multichannel STSP, and designers of sonar and radar systems. The book is aimed at readers with basic knowledge of applied hydroacoustics and signal processing within basis courses of technical universities. [8] Gorban, I. I. (2011). Theory of hyper-random phenomena: physical and mathematical basis. Kiev: Naukova dumka, 318. ISBN 978-966-00-1093-2. (In Russian). See Abstract: The monograph is dedicated to the physico-mathematical theory which describes physical events, variables, processes, and fields in non-constant statistical conditions. The book is oriented to different readers: ones that have only some images about probability theory and want to obtain information about modern statistical methods taking into consideration statistical instability of real physical phenomena, engineers that widely use statistical methods, mathematicians working in probability theory area, and physicists looking for the basis of universe. [9] Gorban, I. I. (2014). Phenomenon of statistical stability. Kiev: Naukova dumka, 444. ISBN 978-966-00-1422-0. (In Russian). See Abstract: The monograph is dedicated to the research of physical phenomenon of statistical stability and exposure of basics of physical-mathematical theory of hyper-random phenomena, the latter describing physical events, variables and processes with consideration of violation of statistical stability. It is oriented on scientists, engineers, and post-graduate students researching in statistical laws of natural physical phenomena as well as developing and using statistical methods for high-precision measuring, prediction and signal processing on long observation intervals. The book may also be useful for high-level courses for university students majoring in physical, engineering, and mathematical fields. [10] Gorban, I. I. (2014). Section 8.2: Physico-mathematical theory of hyper-random phenomenon. Section 8.3: The basis of mathematical analysis of divergent and many-valued functions. In the book A.A. Morozov and V.P. Klimenko (Eds). Institute of Mathematrical Machines and Systems Problem: 50 years of scientific activity. Kiev: IMMSP, 293-348. - ISBN 978-617-696-212-0. (In Russian). See Abstract: In the presented sections the brief description of main states of the monographs [5, 8, 9] is given. [11] Gorban, I. I. (2016). Randomness and hyper-randomness. Kiev: Naukova dumka, 288. ISBN ISBN 978-966-00-1561-6. (In Russian). See Abstract: The monograph is dedicated to study of the physical phenomenon of statistical stability, and also to the comparing of two theories that describe it: the probability theory and the theory of hyper-random phenomena. It is oriented on scientists, engineers, and post-graduate students researching in statistical laws of natural physical phenomena as well as developing and using statistical methods for high-precision measuring, prediction and signal processing on long observation intervals. The book may also be useful for university students majoring in physical, engineering, and mathematical fields. [12] Gorban I.I. (2016). The Statistical Stability Phenomenon. Springer, 361. - ProductFlyer.pdf. Abstract: The monograph is dedicated to the research of physical phenomenon of statistical stability and exposure of basics of the physical-mathematical theory of the hyper-random phenomena, the latter describing physical events, variables and processes with consideration of violation of statistical stability. It is oriented on scientists, engineers, and post-graduate students researching in statistical laws of natural physical phenomena as well as developing and using statistical methods for high-precision measuring, prediction and signal processing on long observation intervals. The book may also be useful for high-level courses for university students majoring in physical, engineering, and mathematical fields.
