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 DOI: 10.17587/it.27.171-179 P. A. Lyakhov, PhD of Physics and Mathematics Sciences, Assistant Professor, Department of Applied Mathematics and Mathematical Modeling, e-mail: ljahov@mail.ru, A. S. Ionisyan, PhD of Physics and Mathematics Sciences, Assistant Professor, Department of Applied Mathematics and Mathematical Modeling, e-mail: asion@mail.ru, M. V. Valueva, PhD student, e-mail: mriya.valueva@mail.ru, A. S. Larikova, PhD student, e-mail: larikova@gmail.com, North-Caucasus Federal University, Stavropol, 357736, Russian Federation The  paper proposes the implementation of digital filtering using residue number  system and the modified truncated multiply and accumulate unit. The work was  carried out a theoretical analysis of digital filters using residue number  system arithmetic and implemented hardware simulation on FPGA. FPGA hardware  simulation results show that the use of residue number system allows to  increase the frequency of digital filters up to about 4 times and hardware  costs reduce up to 3 times compared to using a common positional number system.  The obtained results open up the possibility for efficient hardware  implementation of digital filters on modern devices (FPGA, ASIC and etc.) to  solve practical problems, such as noise reduction, amplification and  suppression of the frequency spectrum, interpolation, decimation, equalization  and many others. P.  171–179 
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