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Introducing disjoint spectral translation in spectral multiple-valued logic design

Introducing disjoint spectral translation in spectral multiple-valued logic design

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A new form of expansion of multiple-valued logical functions in generalised Fourier series in terms of the Chrestenson functions is presented. It is shown that this expansion exhibits the property of ‘disjoint spectral translation’ known in binary spectral logic design. This allows extending the possibility of low complexity realisation to a large class of multiple-valued logical functions.

References

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      • M. Karpovsky . (1976) , Finite orthogonal series in the design of digital devices.
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      • H.E. Crestenson . (1977) , A class of generalized Walsh functions.
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      • Lee, C., Dao, T.: `PL logic and arithmetic technology', IEEE Catalog No 77CH1165-0 C, Proceedings of the computer conference, 1977, p. 334–337.
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      • C. Moraga . (1978) Spectral Logic Design, Abteilung informatik.
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