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The paper considers algorithms for compressing multidimensional signals using wavelet transforms, aimed at increasing the degree of information compression, compared with existing compression methods. Software for compressing multidimensional signals has been developed and the general capabilities of a software product that allows image compression using wavelet transforms are presented.

The subject of the research in the article is the control methods for the data presented in the residue number system. The object of research is the process of monitoring data presented in the residue number system. The purpose of the work is to develop a method for increasing the reliability of control of data presented in the residue number system. The following tasksare solved in the article: research of data control methods presented in the residue number system; development of a method for increasing the reliability of data control; consideration of examples ofapplication of the developed method for a specific residue number system; demonstration of examples of calculation and comparative analysis of the reliability of data control presented in the residue number system. The following research methods are used: the basics of system analysis and the basics of machine arithmetic in the residue number system. The following results were obtained: A method for increasing the reliability of data control was developed; examples of application of the developed method for a specific residue number system are presented; examples of calculation and comparative analysis of the reliability of data control presented in the residue number system are given. Conclusions: This article presents the theoretical foundations of the process of increasing the reliability of control of data presented in the residue number system, based on the use of the procedure of zeroing numbers. A method for increasing the reliability of data control has been directly developed and presented. Examples of application of the developed method for a specific residue number system are given and examples of calculating the reliability of control of data presented in the residue number system are given. A method has been developed to increase the reliability of data control; it is a definite contribution to the theory of noise-resistant coding in a residue number system. Examples of calculation and comparative analysis of the reliability of data control confirm the practical significance of the results of this article.

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