International Journal of Scientific Engineering and Technology

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Efficient Logarithmic Function Approximation


Affiliations
1 Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
 

A criteria is developed for the approximations of a logarithmic function to piecewise straight lines at multiple segments such that the maximum absolute error is minimized. The optimum cutting points for segmentation are estimated numerically with an exhaustive search. Our hardware implementation is restricted to integer operations (addition and shifting).

Keywords

Logarithmic Function, Approximation Error, Absolute Error, Linear Approximation.
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  • Efficient Logarithmic Function Approximation

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Authors

Amjad F. Hajjar
Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
Mohammad H. Awedh
Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract


A criteria is developed for the approximations of a logarithmic function to piecewise straight lines at multiple segments such that the maximum absolute error is minimized. The optimum cutting points for segmentation are estimated numerically with an exhaustive search. Our hardware implementation is restricted to integer operations (addition and shifting).

Keywords


Logarithmic Function, Approximation Error, Absolute Error, Linear Approximation.