Some non-traditional phenomenological approaches and methods are suggested for reconstruction of the analytical structure of observed processes and signals. These are, in particular, a family of methods for revealing latent periodicities, further generalization of the classic weighted least-squares method, the block approximation method. Along with the theoretical description and substantiation of the suggested methods, a variety of examples of application of these methods in different areas of science and engineering are given as well as the results of their comparison by efficiency with some known approaches. There are also some solved problems of reconstructing the analytical structure of processes inaccessible for solution by the classic methods.
The monograph is intended for a wide circle of researchers of processes and signals in various spheres of life, science and engineering: physics, chemistry, astronomy, space research, aviation, instrument-making, vibro-tests of various constructions, biology, medicine, sociology, statistics, economy, analysis of market trends, etc.
Doctor of sciences, professor, laureate of the international award of the American Association for the Advancement of Science (AAAS), academician of the International Academy for Integration of Science and Business, academician of the International Public Development Academy, member of the Interagency Space Debris Coordination Committee (since 1993), member of the Committee on Space Debris of the National Research Council of USA (1993–1995), member of the Expert Working Group on Space Threats of RAS (since 2012), co-chairman of the US–Russian Space Surveillance Workshop (since 1994). An expert in the fields of control of complex systems, operations research, mathematical methods of discrete optimization, planning the search for space objects, problems of technogenic contamination of space. Leading scientist of the Scientific Research Center “Kosmos” in the field of space surveillance. Author of more than 430 scientific publications.