학술논문

About some peculiar approaches to seeking the Ashenhurst decomposition of logic functions in the Reed-Muller spectrum domain
Document Type
Conference
Source
2016 MIXDES - 23rd International Conference Mixed Design of Integrated Circuits and Systems Mixed Design of Integrated Circuits and Systems, 2016 MIXDES - 23rd International Conference. :155-159 Jun, 2016
Subject
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Power, Energy and Industry Applications
Signal Processing and Analysis
Logic functions
Spectral analysis
Field programmable gate arrays
Transforms
Input variables
Matrix decomposition
Reed-Muller spectral domain logic function decomposition
FPGA
logic circuit implementation
Language
Abstract
The paper deals with the problem of logic function decomposition in Reed-Muller spectrum. A logic function decomposition in this domain was interesting because for n variables of a logic function as many as two power n polarizations of Reed-Muller spectrums of the logic function exist and the space where decomposition of such a function can be sought for is extremely large. In the paper there was check if searching for decomposition with spectrum of other polarization then polarization zero leads to a success. Moreover the authors of the paper have observed that it was possible to find a decomposition for some logic functions by making permutations between the functions variables. The paper presents few examples that prove the idea. These findings even more expand the space for seeking for the decomposition.