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Residue Number System . . .
, 2008
"... Today’s embedded processors face multi-faceted challenges in the form of stringent performance, area, power and time-to-market requirements. There is a perpetual demand for embedded processors with lower power, yet higher performance, especially in personal wireless communication and multimedia doma ..."
Abstract
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Cited by 2 (0 self)
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domains. The 2’s complement number system imposes a fundamental limitation on powerperformance efficiency as a result of sequential carry propagation. The Residue Number System (RNS) breaks this limitation by partitioning operations into parallel independent components resulting in fast and power
Redundant Residue Number Systems
, 2000
"... A burst-by-burst adaptive speech transceiver is proposed, which can drop its source coding rate and speech quality under transceiver control in order to invoke a more error resilient modem mode amongst less favourable channel conditions. The novel, high-quality, Adaptive Multi-Rate (AMR) speech code ..."
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A burst-by-burst adaptive speech transceiver is proposed, which can drop its source coding rate and speech quality under transceiver control in order to invoke a more error resilient modem mode amongst less favourable channel conditions. The novel, high-quality, Adaptive Multi-Rate (AMR) speech codec [5], operated at bit rates of 4.75 and 10.2 kbps and combined with sourcesensitivity-matched
Residue Number System Reconfigurable Datapath
- Proc. of IEEE Int.l Symposium on Circuits and Systems (ISCAS 2002
, 2002
"... ABSTRACT In this paper we describe a possible approach to implement a reconfigurable datapath for digital signal processing. The datapath should be programmable in terms of dynamic range, type and sequence of operations. We chose to implement it in the Residue Number System (RNS), because the RNS o ..."
Abstract
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Cited by 3 (1 self)
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ABSTRACT In this paper we describe a possible approach to implement a reconfigurable datapath for digital signal processing. The datapath should be programmable in terms of dynamic range, type and sequence of operations. We chose to implement it in the Residue Number System (RNS), because the RNS
Interger Division in the Residue Number System
, 1995
"... This contribution to the ongoing discussion of division algorithms for residue number systems (RNS) is based on Newton iteration for computing the reciprocal. An extended RNS with twice the number of moduli provides the range required for multiplication and scaling. Separation of the algorithm descr ..."
Abstract
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Cited by 1 (0 self)
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This contribution to the ongoing discussion of division algorithms for residue number systems (RNS) is based on Newton iteration for computing the reciprocal. An extended RNS with twice the number of moduli provides the range required for multiplication and scaling. Separation of the algorithm
Residue Number System and DNA Sequences
"... Today, optimal performance and cost advantages of using Internet telephony are obvious. Despite current standardized techniques, voice transferring through protocol (VoIP) has lower security than traditional telephony. One of the most important security issues which should be noticed in using VoIP i ..."
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, the security of VoIP and data steganography through the protocol has been investigated. Finally, a technique for data steganography4 over this protocol will be proposed using the method of Residue Number System3. Also, using the combination of RNS, DNA sequences, and Huffman compressing algorithm, an algorithm
Sign Determination in Residue Number Systems
, 1997
"... Sign determination is a fundamental problem in algebraic as well as geometric computing. It is the critical operation when using real algebraic numbers and exact geometric predicates. We propose an exact and efficient method that determines the sign of a multivariate polynomial expression with ra ..."
Abstract
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Cited by 25 (10 self)
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Sign determination is a fundamental problem in algebraic as well as geometric computing. It is the critical operation when using real algebraic numbers and exact geometric predicates. We propose an exact and efficient method that determines the sign of a multivariate polynomial expression
FPGA Implementation of Residue Number System Phoukas
, 1995
"... 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 specifi ..."
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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
Modular Multiplication and Base Extensions in Residue Number Systems
- IN 15TH IEEE SYMPOSIUM ON COMPUTER ARITHMETIC
, 2001
"... We present a new RNS modular multiplication for very large operands. The algorithm is based on Montgomery's method adapted to residue arithmetic. By choosing the moduli of the RNS system reasonably large, an eect corresponding to a redundant high-radix implementation is achieved, due to the car ..."
Abstract
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Cited by 16 (5 self)
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(n) processors, where n is the number of moduli in the RNS systems. Thus these conversions are the bottlenecks of the method, and any future improvements in RNS base conversions, or the use of particular residue systems, can immediately be applied.
Reliable and High-Speed KASUMI Block Cipher by Residue Number System Code
"... Abstract: Third generation cellular network technology (3G) can revolutionize communications and data exchanges between many people in a more overwhelming fashion than 2G and 2.5G networks did. The 3G UMTS, the 3G GSM and the 3G GPRS rely on the KASUMI block cipher. Therefore, increasing speed, decr ..."
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, decreasing power consumption and error detection/correction are the major concerns of the KASUMI algorithm and its generation. On the other hand, Residue Number System is a non-weighted number system and it is currently considered as an important method for high-speed, low-power, parallel and carry
Eisenstein Residue Number System with Applications to DSP
, 1997
"... this paper we present a modification to the QRNS, specifically oriented to computations with Eisenstein integers rather than Gaussian integers. Two main advantages accrue from this approach: first, using this RNS we have exact representations of the complex cubic roots of unity; second, it turns out ..."
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this paper we present a modification to the QRNS, specifically oriented to computations with Eisenstein integers rather than Gaussian integers. Two main advantages accrue from this approach: first, using this RNS we have exact representations of the complex cubic roots of unity; second, it turns out that, in this case, we have a slightly larger dynamic range when the prime moduli are 5-bit integers
Results 1 - 10
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175,296