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A high-speed fixed width floating-point multiplier using residue logarithmic number system algorithm
The International Journal of Electrical Engineering & Education, 2018The Residue Logarithmic Number System (RLNS) in digital mathematics allows multiplication and division to be performed considerably quickly and more precisely than the extensively used Floating-Point number setups.
J JENCY RUBIA, G. Sathish Kumar
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Optimizing Residue Number System on FPGA
2016 IEEE International Conference on Internet of Things (iThings) and IEEE Green Computing and Communications (GreenCom) and IEEE Cyber, Physical and Social Computing (CPSCom) and IEEE Smart Data (SmartData), 2016Originated from Chinese Remainder Theorem in the 4th century AD, Residue Number System (RNS) has been regarded as a promising number representation method in the field of digital computer arithmetic. Even though reconfigurable hardware devices such as Field Programmable Gate Arrays (FPGA) have been a popular platform for RNS applications due to its ...
Jiahe Liu, Bangtian Liu, Haohuan Fu
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Applications of Residue Number Systems
2002In this Chapter, some applications of Residue Number System described in literature are reviewed so as to illustrate the various possibilities. Specifically, Digital to Analog Converters, FIR filters, IIR filters, Adaptive filters, 2-D FIR filters and Digital Frequency Synthesis are considered.
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Reversible watermarking using Residue Number System
2011 7th International Conference on Information Assurance and Security (IAS), 2011Reversible watermarking is a process in which the watermark is embedded in such a way that when the watermarked image passes through the authentication process, the original image is also recovered exactly along with watermark. Restoring the original image is important for the applications such as medical, military and law-enforcement etc.
null Atta-ur-Rahman +3 more
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Integrated Photonic Residue Number System Arithmetic
Advanced Photonics 2018 (BGPP, IPR, NP, NOMA, Sensors, Networks, SPPCom, SOF), 2018Here we show a residue number system (RNS) engine based on integrated nanophotonics. The digit-wise shifting in RNS arithmetic is expressed as spatial routing of an optical signal in 2x2 hybrid photonic-plasmonic switches.
Volker J. Sorger +4 more
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Modular arithmetic and residue number systems
2010Introduction In many applications integer computations are to be performed modulo some given constant. One such area is cryptology, where often multiplications, inversions, and exponentiations are to be performed modulo some very large integer. Hence we shall here investigate algorithms for such operations in their own right, but also because these ...
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International journal of information technology, 2019
A. V. AnanthaLakshmi, P. Rajagopalan
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A. V. AnanthaLakshmi, P. Rajagopalan
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General modular adder designs for residue number system applications
IET Circuits Devices Syst., 2018A. Hiasat
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