In this paper, we propose an approach for finding balanced special-type sets of moduli for high-speed digital signal filtering using the residue number system and utilizing the truncated multiply-accumulate blocks. The primary focus is to conduct a thorough analysis of the computational delay associated with individual residue number system moduli sets as well as their various combinations. Our proposed approach reduces the digital filtering delay by 60.85% depending on the computational range and bit-width of residue number system moduli for 16-, 24-, 32- and 48-bit filters. The proposed approach can significantly enhance the performance of digital devices where data processing speed is critical. Further research will explore applying these filters to tackle various challenges in both digital signal and image processing.
Lyakhov et al. (2025) studied this question.