Моделирование процессов обработки многомерных сигналов на базе методов сплайн -функций и программная реализация

Аннотация

Subjects of research: polynomial, interpolation and smoothing splines, cubic basic splines, methods and resources of signal processing and prediction of anomalies used in geophysics and railway systems. Purpose of work: development of methods, algorithms and program complex for simulation of processes of processing and restoring of signals on a basis a spline - functions. Methods of research: the theory of the functional analysis, generalized spectral methods, theory of numbers and matrixes, theory a spline of functions and simulation, theory of parallel computing processes and numerical methods of solution of simple equations. The results obtained and their novelty: the methods and effective algorithms of calculation of signal restitution coefficients on the basis of onedimensional and many-dimensional splines are offered; the algorithms and program complex for simulation of processes of signal processing by methods a spline - functions with application of digital data processors of signals are developed; the spline - method of the analysis, estimation and prediction of operation stability of rails is offered. Practical value: the software of the signals restoring with application of digital signal processors of the set Blackfin are developed; the parallel computing structure is offered on the basis of a cubic basic spline; the program complex for simulation of processes of restoring of signals by methods a spline - functions is developed. Degree of embed and economic effectivity: the main theoretical and practical results of dissertation work took root in the state joint-stock railway company «Uzbekistan temir yo'llari». The summarized economic benefit makes 26 mln. sum in a year. Field of application: the methods, algorithms and software designed in dissertation work can be used in geophysics, ecology, seismology and radiolocation for signal processing, and also for problem solving of prediction of stability of rails in railway systems.