A novel efficient and accurate analytical method for determining the swing of internal nodes in digital filters

M Najjarzadegan, G Pasandi… - … on Circuits and …, 2016 - ieeexplore.ieee.org
To implement a floating point system using fixed point representation, it is needed to determine
the swing and resolution. In the fixed point representation, swing determines the Integer …

Towards more dependable verification of mixed-signal systems

F Schupfer, C Grimm - Dagstuhl Seminar Proceedings, 2010 - drops.dagstuhl.de
… In this approach, parameter variations and tolerances are maintained as symbolic ranges
during numerical simulation runs by using affine arithmetic. Maintaining parameter variations …

A comparison of methods for solving parametric interval linear systems with general dependencies

I Skalna - International Conference on Numerical Methods and …, 2010 - Springer
… To cope with the dependence problem, revised affine arithmetic with a new affine ap… In
this study, revised affine arithmetic is used for bounding the ranges of (3) and (4). In the …

State estimation of power system considering network parameter uncertainty based on parametric interval linear systems

C Rakpenthai, S Uatrongjit… - … on Power Systems, 2011 - ieeexplore.ieee.org
… A technique based on affine arithmetic for converting state variable into polar form is also
presented. The proposed method has been implemented using MATLAB and INTLAB toolbox …

Research on interval multi-objective optimal power flow in AC-DC systems considering wind power fluctuation

H Zhang, Y Zhang - Wind Engineering, 2021 - journals.sagepub.com
… interval and affine arithmetic is proposed in this paper. First, AC and DC interval power flow
model is constructed based on the relationship between interval and affine arithmetic, and …

An Interval Probabilistic Energy Flow Calculation Method for CCHP Campus Microgrids

Y Xie, S Lin, W Liang, Y Yang, M Liu - IEEE Systems Journal, 2022 - ieeexplore.ieee.org
… An affine arithmetic-based interval point estimation method (AIPEM) is put forward to solve
the … Affine arithmetic is used to reduce the interval expansion in the interval calculation, and to …

Analog circuit simulation using range arithmetics

D Grabowski, M Olbrich, E Barke - 2008 Asia and South Pacific …, 2008 - ieeexplore.ieee.org
… In this chapter, we present an extension of the affine arithmetic which we call quadratic
arithmetic (QA) [10]. Quadratic affine forms (QF) will be denoted by () in this paper. A QF consists …

On soft fingertips for in-hand manipulation: Modeling and implications for robot hand design

Q Lu, N Rojas - IEEE Robotics and Automation Letters, 2019 - ieeexplore.ieee.org
… with friction, modelling the interaction between fingertips and objects as joints with clearances
rather than ideal instances, and then approximating clearances via affine arithmetic to …

Reliability analysis of multi‐state series systems with performance sharing mechanism under epistemic uncertainty

S Qiu, HXG Ming - Quality and Reliability Engineering …, 2019 - Wiley Online Library
… BUGF-based reliability analysis method is validated by an illustrative example and compared
with the interval UGF (IUGF)-based methods with interval arithmetic or affine arithmetic. …

Enhancing numerical constraint propagation using multiple inclusion representations

XH Vu, D Sam-Haroud, B Faltings - Annals of Mathematics and Artificial …, 2009 - Springer
… such as interval arithmetic, affine arithmetic, and mathematical … , interval arithmetic, affine
arithmetic, and linear programming … ·Branch and prune· Interval arithmetic·Affine arithmetic