Simulation of Fast Transformation Procedures in Galois Fields to Estimate Efficiency of Perspective Signals Generation and Processing Devices

摘要

The object of consideration is design automation and prototyping of complex signals and their generation and processing devices. The subject of the analysis is the substantiation of the structure, composition and implementation method of a modeling system aimed at modeling and prototyping promising devices for the generation and processing of complex signals based on fast transformations in Galois fields. The purpose of the analysis is a reasonable choice of methods and tools for computational, simulation and prototyping that achieve high display accuracy, performance, flexibility and ease of modeling. The solutions are based on the principles and mathematical models developed by the authors: methods and algorithms for fast transformations in Galois fields, an algebraic representation model and the structure of fast delay acquisition devices for a subclass of sequences. The article is devoted to the development of a software and hardware modeling systems that allows the most accurate mapping of fast algebraic transformations in Galois fields to algorithmic models of various levels of representation to ensure high performance, flexibility and ease of modeling, as well as prototyping of promising devices for the generation and processing of complex signals. The results of the work will be useful in the design of promising devices of various information and communication systems, scientific research, as well as in the educational process.