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» The Magic of a Number System
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TC
2002
13 years 7 months ago
A Number System with Continuous Valued Digits and Modulo Arithmetic
This paper presents a novel number system based on signed continuous valued digits. Arithmetic operations in this number system are performed using simple analog circuitry, in con...
Aryan Saed, Majid Ahmadi, Graham A. Jullien
ICC
2011
IEEE
242views Communications» more  ICC 2011»
12 years 7 months ago
A High-Performance 8-Tap FIR Filter Using Logarithmic Number System
—This paper presents an approach to implement a high-performance 8-tap digital FIR (Finite Impulse Response) filter using the Logarithmic Number System. In the past, FIR filter...
Yan Sun, Min Sik Kim
FFA
2010
84views more  FFA 2010»
13 years 6 months ago
Additive functions for number systems in function fields
Let Fq be a finite field with q elements and p ∈ Fq[X, Y ]. In this paper we study properties of additive functions with respect to number systems which are defined in the rin...
Manfred G. Madritsch, Jörg M. Thuswaldner
ARITH
2005
IEEE
14 years 1 months ago
Arithmetic Operations in the Polynomial Modular Number System
We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The socalled Polynomial Modular Number System (PMNS) allows for fast polyn...
Jean-Claude Bajard, Laurent Imbert, Thomas Plantar...
ALGORITHMICA
2011
13 years 3 months ago
Crossing Numbers of Graphs with Rotation Systems
We show that computing the crossing number and the odd crossing number of a graph with a given rotation system is NP-complete. As a consequence we can show that many of the well-k...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...