English

Multipliers: comparison of Fourier transformation based method and Synopsys design technique for up to 32 bits inputs in regular and saturation arithmetics

Hardware Architecture 2016-11-17 v1

Abstract

The technique for hardware multiplication based upon Fourier transformation has been introduced. The technique has the highest efficiency on multiplication units with up to 8 bit range. Each multiplication unit is realized on base of the minimized Boolean functions. Experimental data showed that this technique the multiplication process speed up to 20% higher for 2-8 bit range of input operands and up to 3% higher for 8-32 bit range of input operands than analogues designed by Synopsys technique.

Keywords

Cite

@article{arxiv.1611.05415,
  title  = {Multipliers: comparison of Fourier transformation based method and Synopsys design technique for up to 32 bits inputs in regular and saturation arithmetics},
  author = {Danila Gorodecky},
  journal= {arXiv preprint arXiv:1611.05415},
  year   = {2016}
}

Comments

Proceedings of the 12th International Workshop on Boolean Problems, Freiberg, Germany, Sept. 22-23, 2016. Edited by B. Steinbach. Freiberg University of Mining and Technology. P. 145-150. Changed title from "Multipliers design technique based disjunctive normal form minimizationa and Fourier transformation"; fixed some inaccuracies