Correlation models in the polar coordinate system for determining the mutual influence of cyclic processes and their implementation on the basis of correlation special processors

Abstract

The article researches the correlation models of objects, taking into account the long-term influence on them of endless processes of a cyclic nature with constant or variable periodicity. The value of their instantaneous effects on the studied objects is very small, and they are often neglected in model building or analysis. However, due to long-term influence or repeated repetition, even very weak correlations can have a significant impact on the course of processes, the formation of objects and the development of systems. Correlation models of objects were built taking into account the long-term influence on them of infinite processes. The structure of a high-performance special processor for calculating the covariance function in the Haar-Crestenson basis is proposed, which is characterized by a 5-7 times increase in speed and a decrease in hardware complexity.