A Modified Affine Arithmetic Method for Computational Error Analysis

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.