نتایج جستجو برای: logarithmic method

تعداد نتایج: 1645866  

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 1962

2014
Felix Albu Milan Tichy Nick Coleman Anthony Fagan

In this paper we propose a new stable Fast Affine Projection algorithm based on Gauss -Seidel iterations (GSFAP). We investigate its implementation using the logarithmic number system (LNS) and compare it with other two FAP algorithms. A method to simplify its implementation is also proposed. We show that the 32-bit or 20-bit LNS implementation of the GSFAP algorithm is superior to those of oth...

Journal: :EURASIP J. Adv. Sig. Proc. 2005
Roberto Muscedere Vassil S. Dimitrov Graham A. Jullien William C. Miller

This paper addresses the implementation of a filterbank for digital hearing aids using a multi-dimensional logarithmic number system (MDLNS). The MDLNS, which has similar properties to the classical logarithmic number system (LNS), provides more degrees of freedom than the LNS by virtue of having two, or more, orthogonal bases and the ability to use multiple MDLNS components or digits. The loga...

2007
Yu.A. Litvinov F. Bosch H. Geissel J. Kurcewicz N. Winckler L. Batist K. Beckert P. Beller D. Boutin C. Brandau L. Chen C. Dimopoulou T. Faestermann L. Grigorenko R. Knöbel C. Kozhuharov S. A. Litvinov L. Maier M. Mazzocco C. Nociforo F. Nolden Z. Patyk M. Pfützner W. R. Plass

Yu.A. Litvinov1,2, F. Bosch1, H. Geissel1,2, J. Kurcewicz3, N. Winckler1,2, L. Batist4, K. Beckert1, P. Beller1, D. Boutin1,2, C. Brandau1,2, L. Chen2, C. Dimopoulou1, T. Faestermann5, L. Grigorenko6, P. Kienle5,7, R. Knöbel1,2, C. Kozhuharov1, S.A. Litvinov1,2, L. Maier5, M. Mazzocco1, G. Münzenberg1, A. Musumarra8, C. Nociforo1, F. Nolden1, Z. Patyk9, M. Pfützner3, W.R. Plass2, C. Scheidenber...

Journal: :Physical review. B, Condensed matter 1995
Engelstad Yamada

A scaling theory is applied in order to calculate the temperature dependence of the staggered magnetic susceptibility associated with the anti-ferromagnetism observed in high-temperature superconductors. In a logarithmic approximation, only a summation of the leading square logarithmic terms are taken into account, assuming the parquet approximation. We show that scaling theory can be applied t...

1997
R Kenna A C Irving

We examine the Kosterlitz–Thouless universality class and show that conventional (essential) scaling at this type of phase transition is self–consistent only if modified by multiplicative logarithmic corrections. In the case of specific heat these logarithmic corrections are identified analytically. To identify those corresponding to the susceptibility we set up a numerical method involving the...

2013
Z. Sauli

Floating-point ALU The ease and accuracy of executing the multiplication and division operations by using either fixed-point addition or subtraction is what makes the logarithmic number system an attractive option. However, its main drawback is the complexity of performing addition and subtraction operations. In this paper, an analysis is carried out to compare the current state-of-the-art loga...

2008
Oscar Robles Palacios Joel Muñoz Quispe Mario Raffo Jara Carlos Silva Cárdenas

This paper presents a method to approach the implementation of a highly accurate logarithmic converter that operates with floating point numbers. For consistency purposes, it was necessary to adopt a standard to represent all floating point number. Hence, the IEEE Standard for Binary Floating-Point Arithmetic (IEEE 754) was the one selected. This logarithmic converter is based on Mitchell’s alg...

Journal: :Computer Aided Geometric Design 2014
Xunnian Yang

This paper considers the problem of G1 curve interpolation using a special type of discrete logarithmic spirals. A ”logarithmic arc spline” is defined as a set of smoothly connected circular arcs. The arcs of a logarithmic arc spline have equal angles and the curvatures of the arcs form a geometric sequence. Given two points together with two unit tangents at the points, interpolation of logari...

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