Yatskiv V. The theoretical basis for the creation and organization of the structural components of increased efficiency wireless sensor networks

The object of the research is data transformation, processing and transmission processes in wireless sensor networks; the subject of the research is methods and tools for data transformation, processing and transmission in wireless sensor networks on the basis of residue number system and modular arithmetic; scientific novelty of the research results - for the first time network coding method was developed on the basis of residue number system transformation, which provides the increasing of the wireless sensor network capacity by dividing data packets into subpackets for their further transmission; for the first time a multiple error correction method on the basis of modular correcting codes was developed, which provides high efficiency and low computational complexity of error identification and correction; for the first time a method for image transformation and processing in residue number system was developed, which provides increasing of the coding/decoding rate, to dividing the image into separate parts and using parallel processing for various parts of the image; modular correcting codes were improved, they provide high efficiency of data processing due to the parallel execution of modular multiplication and the adaptive correcting codes with the unchangeable operation algorithm; a method of frequency hopping data transmission based on pseudorandom changes of the channel frequency was improved, which provides error detection in the wireless sensor networks at the physical layer.