Title :
Geometric-mean interpolation for logarithmic number systems
Author_Institution :
Lehigh Univ., Bethlehem, PA, USA
Abstract :
A new hardware implementation of linear-Lagrange interpolation is proposed where the interpolation line is approximated as the geometric mean of the slopes at the endpoints of the interpolation interval. The geometric mean is easy to compute using the Logarithmic Number System (LNS). This paper suggests a novel method that replaces interpolation multiplication with addition of logarithms.
Keywords :
approximation theory; digital arithmetic; interpolation; number theory; digital arithmetic; geometric mean interpolation; hardware implementation; interpolation multiplication; linear Lagrange interpolation; logarithmic number systems; Hardware; Interpolation; Lagrangian functions; Read only memory; Table lookup;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1329301
