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ARITH
1995
IEEE
13 years 9 months ago
Semi-Logarithmic Number Systems
—We present a new class of number systems, called Semi-Logarithmic Number Systems, that constitute a family of various compromises between floating-point and logarithmic number s...
Jean-Michel Muller, Arnaud Tisserand, Alexandre Sc...
TC
2002
13 years 5 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 5 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 4 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
JCSS
2011
81views more  JCSS 2011»
13 years 10 days ago
Representing real numbers in a generalized numeration system
Abstract. We show how to represent an interval of real numbers in an abstract numeration system built on a language that is not necessarily regular. As an application, we consider ...
Emilie Charlier, Marion Le Gonidec, Michel Rigo