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TC
2008
13 years 7 months ago
Hardware Implementation Trade-Offs of Polynomial Approximations and Interpolations
This paper examines the hardware implementation trade-offs when evaluating functions via piecewise polynomial approximations and interpolations for precisions of up to 24 bits. In ...
Dong-U Lee, Ray C. C. Cheung, Wayne Luk, John D. V...
NA
2010
85views more  NA 2010»
13 years 5 months ago
The reliability/cost trade-off for a class of ODE solvers
In the numerical solution of ODEs, it is now possible to develop efficient techniques that will deliver approximate solutions that are piecewise polynomials. The resulting methods...
Wayne H. Enright, Li Yan
ICCAD
2002
IEEE
108views Hardware» more  ICCAD 2002»
14 years 4 months ago
A precorrected-FFT method for simulating on-chip inductance
The simulation of on-chip inductance using PEEC-based circuit analysis methods often requires the solution of a subproblem where an extracted inductance matrix must be multiplied ...
Haitian Hu, David Blaauw, Vladimir Zolotov, Kaushi...
DSD
2007
IEEE
116views Hardware» more  DSD 2007»
14 years 1 months ago
Design Method for Numerical Function Generators Based on Polynomial Approximation for FPGA Implementation
This paper focuses on numerical function generators (NFGs) based on k-th order polynomial approximations. We show that increasing the polynomial order k reduces significantly the...
Shinobu Nagayama, Tsutomu Sasao, Jon T. Butler
ASAP
2010
IEEE
193views Hardware» more  ASAP 2010»
13 years 9 months ago
Automatic generation of polynomial-based hardware architectures for function evaluation
Abstract--Polynomial approximation is a very general technique for the evaluation of a wide class of numerical functions of one variable. This article details an architecture gener...
Florent de Dinechin, Mioara Joldes, Bogdan Pasca