A Modified Affine Arithmetic Method for Computational Error Analysis
Abstract
Computational precision always has been a concern in digital systems design and optimization. This study presents a modified Affine Arithmetic method to calculate uncertainty range in the output of arithmetic units. We have considered five case studies, namely: quadratic equation, RGB to CrYCb system, fourth-order equation, multivariate polynomial functions and low pass filter, by which the proposed method is evaluated. Presented results indicate the modified affine arithmetic can outperform the traditional methods.
Keywords
Computational error, Interval arithmetic, Affine arithmetic
DOI
10.12783/dtetr/imeia2016/9230
10.12783/dtetr/imeia2016/9230
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