On converting numbers to the double-base number system

Valerie Berthe; Laurent Imbert

doi:10.1117/12.558895

26 October 2004 On converting numbers to the double-base number system

Valerie Berthe, Laurent Imbert

Proceedings Volume 5559, Advanced Signal Processing Algorithms, Architectures, and Implementations XIV; (2004) https://doi.org/10.1117/12.558895
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

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.

Citation Download Citation

Valerie Berthe and 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); https://doi.org/10.1117/12.558895

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