Boolean functions with engineering applications and computer programs
Boolean functions with engineering applications and computer programs
Arithmetic Spectrum Applied to Fault Detection for Combinational Networks
IEEE Transactions on Computers
Probabilistic Aspects of Boolean Switching Functions via a New Transform
Journal of the ACM (JACM)
Family of fast mixed arithmetic logic transforms for multiple-valued input binary functions
ISMVL '96 Proceedings of the 26th International Symposium on Multiple-Valued Logic
Family of Ternary Arithmetic Polynomial Expansions Based on New Transforms
Automation and Remote Control
Automation and Remote Control
Automation and Remote Control
Modeling Combinational Circuits Using Linear Word-level Structures
Automation and Remote Control
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The concept of Linearly Independent arithmetic (LIA) transforms and expansions is introduced in this paper. The recursive ways of generating forward and inverse fast transforms for LIA are presented. The paper describes basic properties and lists those LIA transforms which have convenient fast forward algorithms and easily defined inverse transforms. In addition, those transforms which require horizontal or vertical permutations to have fast transform are also discussed. The computational advantages and usefulness of new expansions based on LIA logic in comparison to known arithmetic expansions are discussed.