A Modified Affine Arithmetic Method for Computational Error Analysis

Azar Heidari, Arash Ahmadi, Shahpour Alirezaee, Majid Ahmadi


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.


Computational error, Interval arithmetic, Affine arithmetic



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