A deep convolutional neural network based on nested residue number system

H Nakahara, T Sasao - 2015 25th International Conference on …, 2015 - ieeexplore.ieee.org
A pre-trained deep convolutional neural network (DCNN) is the feed-forward computation
perspective which is widely used for the embedded vision systems. In the DCNN, the 2D …

A new RNS based DA approach for inner product computation

CH Vun, AB Premkumar… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
This paper presents a novel method to perform inner product computation based on the
distributed arithmetic principles. The input data are represented in the residue domain and …

RNS number comparator based on a modified diagonal function

M Babenko, M Deryabin, SJ Piestrak, P Patronik… - Electronics, 2020 - mdpi.com
Number comparison has long been recognized as one of the most fundamental non-
modular arithmetic operations to be executed in a non-positional Residue Number System …

A Novel Modulo Adder for Residue Number System

S Ma, JH Hu, CH Wang - … on Circuits and Systems I: Regular …, 2013 - ieeexplore.ieee.org
Modular adder is one of the key components for the application of residue number system
(RNS). Moduli set with the form of 2 n-2 k-1 (1≤ k≤ n-2) can offer excellent balance among …

FIR filter realization via deferred end-around carry modular addition

A Belghadr, G Jaberipur - … on Circuits and Systems I: Regular …, 2018 - ieeexplore.ieee.org
Hardware realization of FIR filters that are based on residue number systems leads to
increased speed and reduced power, where besides the popular Mersenne numbers …

Improved modulo-(2n ± 3) multipliers

H Ahmadifar, G Jaberipur - The 17th CSI International …, 2013 - ieeexplore.ieee.org
Modular adders and multipliers have applications in residue number system (RNS)
arithmetic, cryptography, and error-checking, where general architectures are usually …

Evaluation of Mixed-Radix Digit Computation Techniques for the Three Moduli RNS {2n−1, 2n, 2n+1−1}

PVA Mohan, PS Phalguna - … on Circuits and Systems II: Express …, 2020 - ieeexplore.ieee.org
In this brief, we evaluate two techniques for obtaining mixed-radix digits using mixed-radix
conversion technique, for the residue number system (RNS) moduli set {2 n-1, 2 n, 2 n+ 1-1} …

Modulo-(2^ n--2^ q--1) Parallel Prefix Addition via Excess-Modulo Encoding of Residues

SHF Langroudi, G Jaberipur - 2015 IEEE 22nd Symposium on …, 2015 - ieeexplore.ieee.org
The residue number system t={2n--1, 2n, 2n+ 1} has been extensively studied towards
perfection in realization of efficient parallel prefix modular adders, with (3+ 2log n? G) …

FPGA Implementation of speculative prefix accumulation-driven rns for high-performance FIR filter

G Reddy Hemantha, S Varadarajan… - Innovations in Electronics …, 2019 - Springer
In this paper, we present speculation-driven prefix topology-based finite impulse response
(FIR) filters design using residue number system (RNS) arithmetic. The core objective of our …

Hardware Implementation of Fir Filter Based on Number-theoretic Fast Fourier Transform in Residue Number System

VM Amerbaev, RA Soloviev… - Open Engineering …, 2014 - benthamopen.com
New approach to hardware FIR filter implementation is described in this paper. Method
includes the conversion to the frequency domain, as well as the principles of residue …