Tsavolyk T. Methods and Means of Data Transmission in Wireless Sensor Networks Based on Modular Corrective Codes

The dissertation is devoted to solving the actual scientific and technical problem of increasing the reliability of data transmission in wireless sensor networks, through the development of methods and means and noise immunity coding on the basis of modular arithmetic. In the dissertation develop methods of increasing the reliability of data transmission in wireless sensor networks based on modular arithmetic and system of residual classes are developed in the dissertation. An error correction method is developed on the basis of modular correction codes with one check symbol based on sequential solving of Diophantine equations with two unknowns, which allowed to correct errors in two characters. The method of forming check symbols in the correction codes of the system of residual classes is developed, in which the conversion of the message into the system of residual classes occurs due to the division of messages into parts and the choice of the required value of modules. Corrective codes of the system of residual classes have been improved by choosing a special system of modules that reduces hardware complexity and enhances the speed of implementation of encoders/decoders on programmable logic integrated circuits. We have further developed the method of correction of error packages, which is based on the two-dimensional scheme of modular correction codes.