Title :
Digital hardware for approximating to the amplitude of quadrature pairs
Author :
Braun, Fabian ; Blaser, H.
Author_Institution :
Swiss Federal Institute of Technology ETH-Aussenstation Hönggerberg, Institute of Applied Physics, Zÿrich, Switzerland
Abstract :
A method for calculating the square root of the sum of two squared variables by a piecewise linear approximation is presented. Simplicity is obtained by restricting the number of 1s in the hard-wired coefficients and by using well suited intervals for the linear approximation. To obtain a small minimax error, a constant gain is introduced and optimised along with the coefficients.
Keywords :
function approximation; microprogramming; piecewise-linear techniques; amplitude approximating; digital hardware; function approximation; microprogramming; piecewise linear approximation; quadrature pairs;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19740201