Graph-Based Algorithms for Boolean Function Manipulation
IEEE Transactions on Computers
Decompositional methods for stack filtering using Fibonacci p-codes
Signal Processing
Some remarks about spectral transform interpretation of MTBDDs and EVBDDs
ASP-DAC '95 Proceedings of the 1995 Asia and South Pacific Design Automation Conference
Switching Theory for Logic Synthesis
Switching Theory for Logic Synthesis
Binary Polynomial and Nonlinear Digital Filters
Binary Polynomial and Nonlinear Digital Filters
Fibonacci Decision Diagrams and Spectral Fibonacci Decision Diagrams
ISMVL '00 Proceedings of the 30th IEEE International Symposium on Multiple-Valued Logic
Functional Decision Diagrams for Multiple-Valued Functions
ISMVL '95 Proceedings of the 25th International Symposium on Multiple-Valued Logic
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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.