Authors: | Astola, Jaakko Egiazarian, Karen Stanković, Milena Stanković, Radomir |
Title: | Fibonacci arithmetic expressions | Journal: | Automation and Remote Control | Volume: | 65 | Issue: | 6 | First page: | 842 | Last page: | 856 | Issue Date: | 1-Jan-2004 | Rank: | M23 | ISSN: | 0005-1179 | DOI: | 10.1023/B:AURC.0000030899.21673.8e | Abstract: | In this paper, we extend the arithmetic (AR) expressions for functions on finite dyadic groups to functions used in Fibonacci interconnection topologies. We have introduced the Fibonacci-Arithmetic (FibAR) expressions for representation of these functions. We discussed the optimization of FibARs with respect to the number of non-zero coefficients through the Fixed-Polarity FibARs defined by using different polarities for the Fibonacci variables. In this way, we provide a base to extend the application of ARs and related powerful CAD design tools for switching functions to functions in Fibonacci interconnection topologies. |
Publisher: | Springer Link | Project: | Academy of Finland, Project no. 44876 EXSITE, Project no. 51520 |
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