Results 31 to 40 of about 15,150 (275)
Fast scaling in the residue number system [PDF]
Copyright © 2009 IEEEA new scheme for precisely scaling numbers in the residue number system (RNS) is presented. The scale factor K can be any number coprime to the RNS moduli.
Kong, Y., Phillips, B.
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Improving the Delay of Residue-to-Binary Converter for a Four-Moduli Set
The residue number system (RNS) is an unconventional number system which can be used to achieve high-performance hardware implementations of special-purpose computation systems such as digital signal processors.
MOLAHOSSEINI, A. S.
doaj +1 more source
An algorithmic and architectural study on Montgomery exponentiation in RNS [PDF]
The modular exponentiation on large numbers is computationally intensive. An effective way for performing this operation consists in using Montgomery exponentiation in the Residue Number System (RNS).
Bajard, J.C. +4 more
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Adder Based Residue to Binary Number Converters for (2n - 1; 2n; 2n + 1) [PDF]
Copyright © 2002 IEEEBased on an algorithm derived from the new Chinese remainder theorem I, we present three new residue-to-binary converters for the residue number system (2n-1, 2n, 2n+1) designed using 2n-bit or n-bit adders with improvements on speed,
Aboulhamid, M. +3 more
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Towards Fast Implementation of Complex RNS Components on FPGAs
The efficient hardware implementation of RNS particularly on field program-mable gate array (FPGA) is very important due to the use of FPGAs in some modern computing systems to achieve flexibility and low time-to-market.
Sabbagh Molahosseini Amir +1 more
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METHOD FOR DIAGNOSING DATA ERRORS OF A COMPUTER SYSTEM FUNCTIONING IN THE SYSTEM OF RESIDUAL CLASSES
The subject of the article is the development of a method for diagnosing data errors of a computer system functioning in the residue number system (RNS). This method is based on the tabular principle of data diagnostics operation implementation.
Serhii Koshman +2 more
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Using Floating-Point Intervals for Non-Modular Computations in Residue Number System
The residue number system (RNS) provides parallel, carry-free, and high-speed arithmetic and is therefore a good tool for high-performance computing. However, operations such as magnitude comparison, sign computation, overflow detection, scaling, and ...
Konstantin Isupov
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In this paper, we deal with the critical problems in residue arithmetic. The reverse conversion from a Residue Number System (RNS) to positional notation is a main non-modular operation, and it constitutes a basis of other non-modular procedures used to ...
Mikhail Selianinau, Yuriy Povstenko
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Generalized polyphase representation and application to coding gain enhancement [PDF]
Generalized polyphase representations (GPP) have been mentioned in literature in the context of several applications. In this paper, we provide a characterization for what constitutes a valid GPP. Then, we study an application of GPP, namely in improving
Soman, Anand K., Vaidyanathan, P. P.
core +1 more source
Analysis of algorithms performing basic arithmetic operations in the quadratic RNS
In this paper we explore the question of representing complex numbers in a residue number system and build algorithms for the operations of addition and multiplication. The idea of the construction of such systems is in determining how the set of complex
Lyudmila Borisovna Kopytkova
doaj

