Yurii Kuts – författare

The book meticulously details a constructive mathematical model of a stochastic noise process, specifically a linear random process and its characteristics. Theoretical reasoning on the relationship between random processes with independent increments and those with independent values, known as random processes of white noise, is provided. The model of a linear random process serves as a mathematical representation of colored noises in various hues. Characteristics of both non-stationary and stationary linear random processes are elucidated, with emphasis on their ergodic properties, crucial for practical applications. The study also encompasses the vector linear random process, portraying a model of multi-channel noise signals. A novel contribution to the theory of random functions is the development of a constructive model of a conditional linear random process. This involves determining its distribution laws in the form of a characteristic function and relevant statistical characteristics, which can serve as potential indicators for identifying stochastic noise processes. The book revisits research on periodic stochastic models, examining cyclic, rhythmic, natural, and artificial phenomena, processes, and signals. A comprehensive analysis of the linear periodic random process is conducted, and the identification characteristics of periodic models of stochastic noise signals are explored. Significant attention is directed toward employing contour and phase methods as a theoretical foundation for addressing narrow-band noise signal identification challenges.

This book concentrates on virtual IMS with the use of modern information and measurement modeling technologies. Modern IMS can be implemented as: real hardware and software measuring tools; virtual IMS with the use of modern information and measurement modeling technologies, including simulation, mathematical, physical, with extensive use of computer equipment for conducting a simulation measurement experiment. Compared to real ones, virtual IMS has a number of advantages, and their implementation requires less time, production, and financial costs. However, in a number of cases, due to the information uncertainty of the object of measurement, such IMS cannot provide objective and reliable results, and therefore, it is necessary to conduct a full-scale measurement experiment using real systems. The potential capabilities of modern systems at the stage of information development of society have increased significantly, which contributes both to the expansion of the subject areas of their application and their use to increase the efficiency of known and solve new scientific and applied measurement tasks. The authors are in solidarity with other colleagues—specialists in measurements—in the forecasts of the development of IMS. No improvements in measurement information technologies, including computer and intellectual ones, have not led, are not leading, and obviously cannot lead in future to the expansion of the nomenclature of measurements of quantities while there are no corresponding sensors that form primary information during their direct interaction with the research object. Further development of IMS and their use in various fields of science and technology, including quantum metrology and nanotechnology, will largely be determined by the development of new principles of operation and the creation of new types of sensors based on them.