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  • Orthogonal signal processing using mathematical models of discrete wavelet transformations implemented in modular residue classes codes

    To improve the efficiency of low-orbit satellite Internet systems (LOSIS) and ensure high apeed of data exchange, systems supporting orthogonal frequency-division multiplexing (OFDM) technology are widely used. The use of OFDM methods makes it possible to expand the bandwidth of the radio channel based on the increase in spectral efficiency. In order to do this, OFDM systems use orthogonal signal transformation based on fast Fourier transformation (FFT). To reduce the time spent on signal processing, the article proposes to use discrete wavelet transformations of signals (DWT) implemented in modular residue classes codes (MRCC). The scientific novelty of the work lies in the fact that based on the integration of methods for constructing discrete wavelet transforms and methods for developing modular codes, mathematical models of DWT implemented in the MRCC will be created, the use of which will reduce the execution time of orthogonal signal processing in OFDM systems. This result will be achieved by parallelizing arithmetic operations on the modules of the modular code. At the same time, the use of low-bit operands makes it possible to switch from performing multiplication, addition, and subtraction operations in the MRCC to retrieving data from LUT tables. Thus, the development of mathematical models of discrete wavelet transformations implemented in modular codes of residue classes is an urgent task.

    Keywords: OFDM systems, discrete wavelet transformation, parallel coding, modular residue classes code