26 October 2004 On converting numbers to the double-base number system
Author Affiliations +
This paper is an attempt to bring some theory on the top of some previously unproved experimental statements about the double-base number system (DBNS). We use results from diophantine approximation to address the problem of converting integers into DBNS. Although the material presented in this article is mainly theoretical, the proposed algorithm could lead to very efficient implementations.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Valerie Berthe, Valerie Berthe, Laurent Imbert, Laurent Imbert, "On converting numbers to the double-base number system", Proc. SPIE 5559, Advanced Signal Processing Algorithms, Architectures, and Implementations XIV, (26 October 2004); doi: 10.1117/12.558895; https://doi.org/10.1117/12.558895


RNS bases and conversions
Proceedings of SPIE (October 25 2004)
Methodology base and problems of information technologies
Proceedings of SPIE (March 31 1993)
Moments based fast fourier transform without multiplications
Proceedings of SPIE (November 13 2007)
Comparison of three scheduling algorithms
Proceedings of SPIE (December 08 1997)

Back to Top