The Internet of Things (IoT) is a modern paradigm that consists of heterogeneous intercommunicated devices that send and receive messages in various formats through different protocols. Thanks to the smart things mainstream, it is becoming common to collect large quantities of data generated by resource-constrained, distributed devices at one or more servers. However, the wireless transmitting of data is very expensive. For example, in IoT, Bluetooth Low Energy using costs tens of millijoules

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... r connection, while computing at full energy costs only tens of micrjoules, and sitting idle costs close to 1 microjoules per second for STM processors. We need compression of data on smart devices. We introduce an IoT compression method based on the concurrent Cosine and Chebyshev Discrete Transforms. For performance increasing, the modification of Transforms algorithms is proposed. This method is suitable not only for IoT devices collecting data but also for the big servers.