The discrete nature of data in a functional domain can generally be replaced by the global nature of data in the spectrum domain. In this paper we propose a fast procedure to detect autosymmetric function as an application of the spectrum technique. The autosymmetric function differs from the usual symmetric function and strongly relates with EXOR-based representations. It is known that many practical logical networks are autosymmetric, and this nature allows a useful functional class to realize a compact network with EXOR gates. Our procedure is able to detect autosymmetric functions quickly by using spectral coefficients. In experiments, our technique can detect the autosymmetry of most networks with a small number of checks of the spectrum.
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Ryoji ISHIKAWA, Goro KODA, Kensuke SHIMIZU, "Detection of Autosymmetry in Logic Functions Using Spectrum Technique" in IEICE TRANSACTIONS on Information,
vol. E86-D, no. 12, pp. 2691-2697, December 2003, doi: .
Abstract: The discrete nature of data in a functional domain can generally be replaced by the global nature of data in the spectrum domain. In this paper we propose a fast procedure to detect autosymmetric function as an application of the spectrum technique. The autosymmetric function differs from the usual symmetric function and strongly relates with EXOR-based representations. It is known that many practical logical networks are autosymmetric, and this nature allows a useful functional class to realize a compact network with EXOR gates. Our procedure is able to detect autosymmetric functions quickly by using spectral coefficients. In experiments, our technique can detect the autosymmetry of most networks with a small number of checks of the spectrum.
URL: https://global.ieice.org/en_transactions/information/10.1587/e86-d_12_2691/_p
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@ARTICLE{e86-d_12_2691,
author={Ryoji ISHIKAWA, Goro KODA, Kensuke SHIMIZU, },
journal={IEICE TRANSACTIONS on Information},
title={Detection of Autosymmetry in Logic Functions Using Spectrum Technique},
year={2003},
volume={E86-D},
number={12},
pages={2691-2697},
abstract={The discrete nature of data in a functional domain can generally be replaced by the global nature of data in the spectrum domain. In this paper we propose a fast procedure to detect autosymmetric function as an application of the spectrum technique. The autosymmetric function differs from the usual symmetric function and strongly relates with EXOR-based representations. It is known that many practical logical networks are autosymmetric, and this nature allows a useful functional class to realize a compact network with EXOR gates. Our procedure is able to detect autosymmetric functions quickly by using spectral coefficients. In experiments, our technique can detect the autosymmetry of most networks with a small number of checks of the spectrum.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - Detection of Autosymmetry in Logic Functions Using Spectrum Technique
T2 - IEICE TRANSACTIONS on Information
SP - 2691
EP - 2697
AU - Ryoji ISHIKAWA
AU - Goro KODA
AU - Kensuke SHIMIZU
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E86-D
IS - 12
JA - IEICE TRANSACTIONS on Information
Y1 - December 2003
AB - The discrete nature of data in a functional domain can generally be replaced by the global nature of data in the spectrum domain. In this paper we propose a fast procedure to detect autosymmetric function as an application of the spectrum technique. The autosymmetric function differs from the usual symmetric function and strongly relates with EXOR-based representations. It is known that many practical logical networks are autosymmetric, and this nature allows a useful functional class to realize a compact network with EXOR gates. Our procedure is able to detect autosymmetric functions quickly by using spectral coefficients. In experiments, our technique can detect the autosymmetry of most networks with a small number of checks of the spectrum.
ER -