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Sign detection in the Symmetric Residue Number System
1981 IEEE 5th Symposium on Computer Arithmetic (ARITH), 1981This paper is concerned with the algebraic sign detection of a number in the Symmetric Residue Number System, A new approach has been suggested which completely avoid the time consuming process of the Symmetric Mixed Radix Conversion (SMRC). An algorithm based on the above approach implementable in parallel for sign detection is also presented.
Saroj Kaushik, R. K. Arora
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One-Hot Residue Logarithmic Number Systems
2019 29th International Symposium on Power and Timing Modeling, Optimization and Simulation (PATMOS), 2019Switching behavior and dynamic power consumption of arithmetic circuits are influenced by the distribution of operands as well as the number system used to encode them. Binary integer encoding may cause severe switching fluctuation; the integer Residue Number System (RNS) reduces this by breaking the integer into smaller moduli, which in turn may use ...
Mark G. Arnold +3 more
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An efficient residue to weighted converter for a new residue number system
Proceedings of the 8th Great Lakes Symposium on VLSI (Cat. No.98TB100222), 1999The Residue Number System (RNS) is an integer system appropriate far implementing fast digital signal processors since it can support parallel, carry-free, highspeed arithmetic. In this paper a new RNS system and an efficient implementation of its residue-to-weighted converter are presented.
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A novel division algorithm for the residue number system
IEEE Transactions on Computers, 1992A novel general algorithm for signed number division in the residue number system (RNS) is presented. The parity checking technique used for sign and overflow detection in this algorithm is more efficient and practical than conventional methods. Sign magnitude arithmetic division is implemented using binary search.
Mi Lu, Jen-Shiun Chiang
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Quadratic Residue Number Systems
2002Complex signal processing can be handled by RNS in a manner similar to standard complex number operations such as addition, subtraction, multiplication etc. However, under certain special cases of choice of moduli, the complete decoupling of computation of real and imaginary parts of the result is feasible.
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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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Specialized Residue Number Systems
2016Several Residue number systems which lead to certain advantages in Signal Processing applications have been described in literature. These are based on concepts of Quadratic Residues, Polynomial Residue Number systems, Modulus replication, logarithmic number systems and those using specialized moduli. These are considered in detail.
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Implementation of residue number systems on GPUs
ACM SIGGRAPH 2006 Research posters on - SIGGRAPH '06, 2006Bryson R. Payne, Markus A. Hitz
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