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Extended Precision Logarithmic Arithmetic.
Presentation of technique with which arithemtic implemented in the Logarithmic Number System may be performed at considerably higher precision than normally available at 32 bits, with little additional HW or execution time....
JC - Počítačový hardware a software
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Logarithmic number system and floating-point arithmetics an FPGA.
An introduction to a logarithmic number system (LNS) is presented. Range and procision of this arithmetic is briefly discussed. We show that the LNS arithmetics is suitable for a FPGA implementation. A case study will compa...
JC - Počítačový hardware a software
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Analysis of the LNS implementation of the fast affline projection algorithms.
It has been shown that a 32-bit logaritmic arithmetic unit can operate faster than, and maintain the accurancy of, a 32-bit floating point unit. It uses the logarithmic number system (LNS), in which a real number i...
JC - Počítačový hardware a software
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
FPGA implementation of logarithmic unit core.
Implementation of floatig point in FPGA (Field Programmable Gate Arrays) is not easy. Paper presents FPGA core which implements these operations by representation of floating point numbers as 32-bit integer (fixed point) logarithm. ...
JC - Počítačový hardware a software
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Implementation of Error-Feedback RLS Lattice on Virtex using logarithmic arithmetic.
The LNS implementation of the Error-Feedback RLS Lattice algorithm in FPGA offers better speed than C30/C40 DSP floating-point and provides low- cost, efficient solution for different system on chip applications. We have demonstrated, that o...
JC - Počítačový hardware a software
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Architecture design for FPGA implementation of finite interval CMA
In the paper, we present the architecture design of the Finite Interval Constant Modulus Algorithm (FI-CMA) for FPGA implementation. For floating point calculations required in the algorithm we use the library based on the Logarithmic Nu...
BD - Teorie informace
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
There are no Diophantine quadruples of Fibonacci numbers
We show that there is no Diophantine quadruple, that is, a set {a1,a2,a3,a4} of four positive integers such that aiaj+1 is a square for all 1≤i<j≤4, consisting of Fibonacci numbers....
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Fibonacci Numbers with a Prescribed Block of Digits
In this paper, we prove that F_{22} = 17711 is the largest Fibonacci number whose decimal expansion is of the form ab...bc...c. The proof uses lower bounds for linear forms in three logarithms of algebraic numbers and some ...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Pipelined implementations of the A Priory Error-Feedback LSL algorithm using logarithmic arithmetic.
In this paper we present several implementations of the Modified A Priori Error-Feedback LSL (EF-LSL) algorithm on the Virtex FPGA. Its computational parallelism and pipelinabilty are important advantages. Internally, the computations are based on th...
JC - Počítačový hardware a software
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
Speculatively Redundant Continued Logarithm Representation
Continued logarithms, as originally introduced by Gosper, represent a means for exact rational arithmetic, but their application to exact real arithmetic is limited solves the problem of real number computability, preserves most of ...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2010 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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