Mathematical Model of the OFDM System that Fends Off the Consequences of Failures Using Modular Codes

The expansion of the scope of industrial Internet of Things (IIoT) technology is largely due to the advent of low-orbit satellite Internet (LEO SI). LEO SI uses OFDM technology to provide broadband access and data exchange between subscribers. One of the methods that allows to increase the speed of information transfer in OFDM systems is based on replacing the fast Fourier transform (FFT) with discrete wavelet transforms (DWT). The use of parallel DWT calculations based on modular residue class codes (MCRC) makes it possible to increase the speed of orthogonal signal transformations. This result is achieved due to the parallel and independent execution of arithmetic operations based on MCRC bases. However, failures and malfunctions of the digital signal processing computing device may occur during signal processing. This leads to errors in the calculation process. When redundancy is introduced, modular codes are able to detect and correct such errors. Thus, the use of MCRC makes it possible to increase the fault tolerance of the OFDM system by fending off the consequences of failures. Therefore, the development of a mathematical model of the OFDM system that fends off the consequences of failures using modular codes is an urgent task.