ABOUT COMPLEX OPERATIONS IN NON-POSITIONAL RESIDUE NUMBER SYSTEM
نویسندگان
چکیده
منابع مشابه
Data Conversion in Residue Number System
This thesis tackles the problem of data conversion in the Residue Number System (RNS). The RNS has been considered as an interesting theoretical topic for researchers in recent years. Its importance stems from the absence of carry propagation between its arithmetic units. This facilitates the realization of high-speed, low-power arithmetic. This advantage is of paramount importance in embedded ...
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Residue Number System (RNS) is a non-weighted number system for integer number arithmetic, which is based on the residues of a number to a certain set of numbers called module set. The main characteristics and advantage of residue number system is reducing carry propagation in calculations. The elimination of carry propagation leads to the possibility of maximizing parallel processing and reduc...
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We present a method to increase the dynamical range of a Residue Number System (RNS) by adding virtual RNS layers on top of the original RNS, where the required modular arithmetic for a modulus on any non-bottom layer is implemented by means of an RNS Montgomery multiplication algorithm that uses the RNS on the layer below. As a result, the actual arithmetic is deferred to the bottom layer. The...
متن کاملNovel High-Radix Residue Number System Architectures
Novel radixmoduloarithmetic units for residue number system (RNS)-based architectures are introduced in this paper. The proposed circuits are shown to require several times less area than previously reported architectures for particular moduli of operation, while also being preferable in the area time complexity sense. The complexity reduction is achieved by extending the carry-ignore property ...
متن کاملResidue Number System Arithmetic Assisted -ary Modulation
A residue number system based M -ary modem is proposed and its performance is evaluated over Gaussian channels. When one or two redundant moduli are employed, a signal-to-noise ratio gain of 1.2–2 dB was achieved for a 16-ary, 32-ary and 37-ary modem, respectively, at a bit error rate of 10 .
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ژورنال
عنوان ژورنال: Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport
سال: 2016
ISSN: 2307-6666,2307-3489
DOI: 10.15802/stp2016/67297