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Circuits, Systems, and Signal Processing, ISSN 0278-081X, 11/2017, Volume 36, Issue 11, pp. 4593 - 4614
Journal Article
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, ISSN 1549-7747, 04/2012, Volume 59, Issue 4, pp. 244 - 248
The moduli set {2(n) + 1, 2(n) - 1, 2(n), 2(2n+1) - 1} has been recently proposed for supporting residue number systems with dynamic ranges of 5n bits. In this... 
DESIGN | TO-BINARY CONVERTERS | CONVERSION | residue number systems (RNSs) | computer arithmetic | reverse converter | RESIDUE | Application-specific integrated circuit (ASIC) | ENGINEERING, ELECTRICAL & ELECTRONIC | Studies | CMOS | Design engineering | Circuits | Dynamics | Residue number systems | Converters | Dynamical systems | Delay
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 05/2011, Volume 80, Issue 275, pp. 1849 - 1864
We prove that the sumset \{p^2+b^2+2^n: p has positive lower density. We also construct a residue class with an odd modulus that contains no integer of the... 
prime | square | MATHEMATICS, APPLIED | Positive lower density | NUMBERS | 2 PRIME POWERS | power of 2 | SUM | arithmetical progression | SQUARES | K2(N)+1
Journal Article
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, ISSN 0278-081X, 10/2014, Volume 33, Issue 10, pp. 3145 - 3163
Speed and complexity of a reverse converter are two important factors that affect the performance of a residue number system. In this paper, two efficient... 
DESIGN | Computer arithmetic | ADDERS | Reverse converter | 2(N+1)-1 | ENGINEERING, ELECTRICAL & ELECTRONIC | Residue number system (RNS) | NUMBER SYSTEM CONVERTER | RNS | TO-BINARY CONVERTER | VLSI IMPLEMENTATION | RESIDUE | HIGH-SPEED REALIZATION | Chinese Remainder Theorem (CRT) | 2(N)-1 | Algorithms | Circuits | Residue number systems | Dynamic range | Converters | Texts | Hardware | Delay
Journal Article
IEEE Transactions on Circuits and Systems II: Express Briefs, ISSN 1549-7747, 04/2012, Volume 59, Issue 4, pp. 244 - 248
Journal Article
Circuits, Systems, and Signal Processing, ISSN 0278-081X, 11/2017, Volume 36, Issue 11, pp. 4593 - 4614
This paper presents the design methods of residue-to-binary (reverse) converters for the new flexible balanced five-moduli set $$\{ 2^k, 2^n-1, 2^n+1,$$... 
Engineering | Residue number system (RNS) | Signal,Image and Speech Processing | Computer arithmetic | Electronics and Microelectronics, Instrumentation | Digital signal processing (DSP) | Circuits and Systems | Reverse converter | Electrical Engineering
Journal Article
Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an, ISSN 0253-3839, 02/2017, Volume 40, Issue 2, pp. 134 - 140
This paper presents a new four-moduli set {2(2n), 2(n) + 1, 2(n/2) + 1, 2(n/2) - 1} (n even). According to new Chinese remainder theorem 1, an efficient... 
reverse converter | Moduli set | residue number system | ENGINEERING, MULTIDISCIPLINARY | TO-BINARY CONVERTER | RESIDUE | 5-MODULI SET | Design engineering | CMOS | Power consumption | Semiconductors | Converters | Architecture (computers) | Hardware | Delay
Journal Article
IEEE Transactions on Circuits and Systems I: Regular Papers, ISSN 1549-8328, 06/2014, Volume 61, Issue 6, pp. 1687 - 1700
This paper presents the design methods of residue-to-binary (reverse) converters for two 4-moduli sets {2 k , 2 n -1, 2 n +1, 2 n+1 -1} and {2 k , 2 n -1, 2 n... 
Chinese remainder theorem (CRT) | Design methodology | Dynamic range | residue-to-binary converter | reverse converter | Vectors | residue arithmetic | Complexity theory | Application-specific integrated circuit (ASIC) | residue number system (RNS) | Digital signal processing | digital signal processing (DSP) | computer arithmetic | Hardware | Delays
Journal Article
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, ISSN 1549-8328, 06/2014, Volume 61, Issue 6, pp. 1687 - 1700
Journal Article
Journal of Circuits, Systems and Computers, ISSN 0218-1266, 12/2018, Volume 27, Issue 14
In this paper, mixed radix conversion (MRC)-based residue number system (RNS)-to-binary converters for two new three-moduli sets {2(k) - 3, 2(k) - 2, 2(k) - 1}... 
mixed radix conversion | CRT | three-moduli sets | Residue number systems | reverse converters | DESIGN | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | CONVERSION | MODULI SET | ENGINEERING, ELECTRICAL & ELECTRONIC | SCHEME | 2(K-1)-1 RNS | NUMBER SYSTEM CONVERTER | VLSI IMPLEMENTATION | RESIDUE | HIGH-SPEED REALIZATION | 2(N)-1
Journal Article
1983, ISBN 3540123237, Volume 1001., vii, 806
Book
Journal of Circuits, Systems and Computers, ISSN 0218-1266, 11/2011, Volume 20, Issue 7, pp. 1341 - 1355
In this paper, the new four-moduli set {2(2n), 2(n+1) - 1, 2(n/2) + 1, 2(n/2) - 1} for even n is introduced. This moduli set has 4n-bit dynamic range and... 
computer arithmetic | reverse converter | Residue number system (RNS) | new chinese remainder theorem 2 (CRT-II) | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | TO-BINARY CONVERTERS | RNS | IMPLEMENTATION | MODULI SET | RESIDUE | 2(N)-1 | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
IEEE Transactions on Circuits and Systems I: Regular Papers, ISSN 1549-8328, 10/2012, Volume 59, Issue 10, pp. 2263 - 2274
Residue Number System (RNS) is often adopted to implement long and repetitive multiplications of cryptographic and signal processing algorithms. To sustain the... 
residue number system (RNS) | Signal processing algorithms | Booth algorithm | Logic gates | computer arithmetic | Encoding | Vectors | Hardware | multiplication | Adders | Delay | Signal processing | Technology application | Usage | Energy dissipation | Modular arithmetic | Simulation methods
Journal Article
Circuits, Systems, and Signal Processing, ISSN 0278-081X, 09/2018, Volume 37, Issue 9, pp. 4162 - 4180
Residue number system is a non-weighted system in which some arithmetic operations are performed parallelly. A factor that affects the system's performance is... 
Parallel computation | Residue number system | VLSI architectures | Mixed-radix conversion | Computer arithmetic | HIGH-PERFORMANCE | TO-BINARY CONVERTER | RESIDUE | 2(N)-1 | ENGINEERING, ELECTRICAL & ELECTRONIC | Hardware description languages | Computer simulation | Residue number systems | Converters | Dynamic range | Delay | Complexity | Arithmetic
Journal Article