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ARITH
2005
IEEE
15 years 7 months ago
The Residue Logarithmic Number System: Theory and Implementation
— The Residue Logarithmic Number System (RLNS) represents real values as quantized logarithms which, in turn, are represented using the Residue Number System (RNS). Compared to t...
Mark G. Arnold
VLSID
1999
IEEE
97views VLSI» more  VLSID 1999»
15 years 6 months ago
Improving Area Efficiency of Residue Number System based Implementation of DSP Algorithms
Residue Number System based applications involve modulo-arithmetic which is typically implemented using look-up-tables (LUTs) for a small value of modulus. In this paper, we prese...
M. N. Mahesh, Satrajit Gupta, Mahesh Mehendale
118
Voted
LSSC
2001
Springer
15 years 6 months ago
Solving Systems of Linear Algebraic Equations Using Quasirandom Numbers
In this paper we analyze a quasi-Monte Carlo method for solving systems of linear algebraic equations. It is well known that the convergence of Monte Carlo methods for numerical in...
Aneta Karaivanova, Rayna Georgieva
107
Voted
CASES
2009
ACM
15 years 5 months ago
Exploiting residue number system for power-efficient digital signal processing in embedded processors
2's complement number system imposes a fundamental limitation on the power and performance of arithmetic circuits, due to the fundamental need of cross-datapath carry propaga...
Rooju Chokshi, Krzysztof S. Berezowski, Aviral Shr...
142
Voted
EUROCRYPT
2009
Springer
16 years 2 months ago
Double-Base Number System for Multi-scalar Multiplications
Abstract. The Joint Sparse Form is currently the standard representation system to perform multi-scalar multiplications of the form [n]P + m[Q]. We introduce the concept of Joint D...
Christophe Doche, David R. Kohel, Francesco Sica