Designing of High-Performance Digital Filters using the Balanced Residue Number System Moduli Set

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.

Authors

Institutions

Publication Details

Journal
Programming and Computer Software
Published
2025-09-22
DOI
https://doi.org/10.1134/s0361768825700203
Primary Topic
Cryptography and Residue Arithmetic
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Designing of High-Performance Digital Filters using the Balanced Residue Number System Moduli Set

Albina Abdulsalyamova, Maxim Bergerman, Nikolay Nagornov, Pavel Lyakhov et al.
Programming and Computer Software
Cryptography and Residue Arithmetic
article

Designing of High-Performance Digital Filters using the Balanced Residue Number System Moduli Set

Albina Abdulsalyamova, Maxim Bergerman, Nikolay Nagornov, Pavel Lyakhov, Ruslan Abdulkadirov
article en

Abstract

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.

Programming and Computer SoftwareVol. 51(5)
North-Caucasus Federal University (RU)
Openalex Percentile: Top 62%
Cryptography and Residue Arithmetic
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.