In digital systems, the Residue Number System (RNS) represents an interesting alternative to traditional two’s complement representation. Its performance and low-power properties have attracted significant research interest over years. this paper, RNS is used estimate angular position of a multi-trace electrical encoder (EE), electro-mechanical device measure angles at high precision widely use...

As embedded and portable systems were emerged power consumption of circuits had been major challenge. On the other hand latency as determines frequency of circuits is also vital task. Therefore, trade off between both of them will be desirable. Modulo adders are important part of the residue number system (RNS) based arithmetic units with the interesting moduli set , , . In this manuscript we h...

Residue number systems (RNS) are non-weighted systems that allow to perform addition, subtraction and multiplication operations concurrently and independently on each residue. The triple moduli set f22 1, 2, 2þ 1g and its respective extensions have gained unprecedent importance in RNS, mainly because of the simplicity of the arithmetic units for the individual channels and also of the converter...

this paper presents a new audio encryption algorithm based on permutation and residue number system. in the current approach, signal samples are combined with residue number system through permutation; therefore, a specific noise is generated. then, the audio signal is combined with the noise, generated by the algorithm, to produce a silence signal. for this purpose, the algorithm uses a predef...

EMERGING DESIGN METHODOLOGY AND ITS IMPLEMENTATIONTHROUGH RNS AND QCAbyOMAR DAJANIAugust 2013Advisor: Dr. Harpreet SinghMajor: Electrical EngineeringDegree: Doctor of Philosophy Digital logic technology has been changing dramatically from integrated circuits, to aVery Large Scale Integrated circuits (VLSI) and to a nanotechnology logic circuits.Research f...

A novel signaling scheme is presented, where a set of orthogonal signals is transmitted in parallel, which are selected according to the so-called residue number system (RNS). Hence the system is essentially a multiple code parallel communication scheme using high modulation alphabets. It is demonstrated that the system performance can be substantially improved by exploiting a number of advanta...

Recently, the residue number system (RNS) has been intensively studied. The Chinese remainder theorem (CRT) is a solution to the conversion problem of a number to RNS with a general moduli set. This paper introduces the generalized CRT (GCRT) with parallel algorithms used for the conversion. The GCRT differs from the CRT because it has the advantage of having more applications than does the CRT...

Residue number systems (RNS) present the advantage of fast addition and multiplication over other number systems, and have thus received much attention for high-throughput computations. Digit-parallel, carry-free, and constant-time multiplication and addition is a unique feature of RNS. However, certain operations such as overflow detection, magnitude comparison, and division are quite difficul...

Until now many algorithms for division operation in residue number systems are presented but almost all of them have an overall loop, conversion from RNS to binary or mixed radix system or using LUT and exclude some numbers in the range of acceptable inputs as a denominator in division operation. In this paper, a non-iterative algorithm for division in RNS system is presented in which all numbe...

In this paper we explore the feasibility of implementing Residue Number System (RNS) based DSP algorithms on Lookup table based Field Programmable Gate Arrays (FPGAs). In this process, Binary Decision Diagrams are used for logic representation, and a new minimizing algorithm for incompletely specified functions is introduced. A sample residue arithmetic based design is presented along with prom...