How to teach residue number system to computer scientists and engineers

K Navi, AS Molahosseini… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
The residue number system (RNS) has been an important research field in computer
arithmetic for many decades, mainly because of its carry-free nature, which can provide high …

A Generalized Residue Number System Design Approach for Ultralow-Power Arithmetic Circuits Based on Deterministic Bit-Streams

K Givaki, A Khonsari, MH Gholamrezaei… - … on Computer-Aided …, 2023 - ieeexplore.ieee.org
The peak power consumption has become an important concern in the hardware design
process of some of today's applications, such as energy harvesting (EH) and bio …

Optimization of the FIR filter structure in finite residue field algebra

D Kaplun, D Butusov, V Ostrovskii, A Veligosha… - Electronics, 2018 - mdpi.com
This paper introduces a method for optimizing non-recursive filtering algorithms. A
mathematical model of a non-recursive digital filter is proposed and a performance …

[PDF][PDF] New arithmetic residue to binary converters

AS Molahosseini, K Navi - IJCSES, 2007 - Citeseer
The residue number system (RNS) is a carry-free number system which can support high-
speed and parallel arithmetic. Two major issues in efficient design of RNS systems are the …

Структурная организация параллельного спецпроцессора цифровой обработки сигналов, использующего модулярные коды

ИА Калмыков, МИ Калмыков - Теория и техника радиосвязи, 2014 - elibrary.ru
Целью исследований является разработка новой технологии цифровой обработки
сигналов (ЦОС), применение которой позволяет, за счет использования …

Error correction of digital signal processing devices using non-positional modular codes

DI Kaplun, DM Klionskiy, DV Bogaevskiy… - Automatic Control and …, 2017 - Springer
The paper discusses an algorithm for correcting code errors of the residue number system
using a positional characteristic. Application of parallel-pipeline computations of this …

An efficient architecture for designing reverse converters based on a general three-moduli set

AS Molahosseini, K Navi, O Hashemipour… - journal of Systems …, 2008 - Elsevier
In this paper, a high-speed, low-cost and efficient design of reverse converter for the general
three-moduli set {2α, 2β− 1, 2β+ 1} where α< β is presented. The simple proposed …

Технология цифровой обработки сигналов с использованием модулярного полиномиального кода

ИА Калмыков, АБ Саркисов… - Известия Южного …, 2013 - cyberleninka.ru
Целью исследований является разработка новой технологии цифровой обработки
сигналов (ЦОС), применение которой позволяет, за счет использования …

Parallel-pipeline implementation of digital signal processing techniques based on modular codes

IA Kalmykov, AV Veligosha, DI Kaplun… - 2016 XIX IEEE …, 2016 - ieeexplore.ieee.org
Parallel-pipeline implementation of digital signal processing techniques based on modular
codes Page 1 213 978-1-4673-8919-8/16/$31.00 ©2016 IEEE Parallel-pipeline …

An improved reverse converter for moduli set (2n−1,2n,2n+1)

A Afsheh, A Mojoodi - 2010 10th International Symposium on …, 2010 - ieeexplore.ieee.org
The residue number system (RNS) is noticeable since it can support parallel, carry-free and
high speed arithmetic. Choosing appropriate moduli set and designing an affective reverse …