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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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© The Institution of Electrical Engineers
Published

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.

Inspec keywords: many-valued logics; logic design

Other keywords: low complexity realisation; spectral multiple valued logic design; spectral logic design; multiple valued logic expansion; generalised Fourier series; Chrestenson functions; many valued logics; disjoint spectral translation

Subjects: Logic circuits; Formal logic; Logic design methods

References

    1. 1)
      • M. Karpovsky . (1976) , Finite orthogonal series in the design of digital devices.
    2. 2)
      • H.E. Crestenson . (1977) , A class of generalized Walsh functions.
    3. 3)
      • C.R. Edwards . The application of the Rademacher-Walsh transform to Boolean function classification and threshold logic synthesis. IEEE Trans. , 48 - 62
    4. 4)
      • Lee, C., Dao, T.: `PL logic and arithmetic technology', IEEE Catalog No 77CH1165-0 C, Proceedings of the computer conference, 1977, p. 334–337.
    5. 5)
      • C. Moraga . (1978) Spectral Logic Design, Abteilung informatik.
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