Abstract
Beads are a particular class of binary sequences with interesting properties due to which they can be related to Binary decision diagrams. Recently, the concept of beads was extended to integer sequences and sequences over finite fields and used in the classification of logic functions in terms of decision diagrams. In this paper, sets of beads and integer beads are used to estimate the equality of structure of digital systems implementing logic functions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Astola, J.T., Stanković, R.S.: Fundamentals of Switching Theory and Logic Design. Springer (2006)
Knuth, D.E.: Art of Computer Programming, vol. 4, Fascicle 1, Section 7.1.4, The Bitwise Tricks & Techniques, Binary Decision Diagrams. Addison-Wesley Professional (2009)
Stanković, M., Stojković, S., Moraga, C.: Mapping Decision Diagrams for Multiple-Valued Logic Functions into Threshold Logic Networks. In: Proc. 41st Int. Symp. on Multiple-Valued Logic, Tuusula, Finland, May 23-25, pp. 111–116 (2011)
Minato, S.: Graph-based representations of discrete functions. In: Sasao, T., Fujita, M. (eds.) Representations of Discrete Functions, pp. 1–28. Kluwer Academic Publishers (1996)
Pichler, F.: Walsh functions and linear system theory. In: Proc. 1970 Symp. Application of Walsh Functions, Washington, D.C., pp. 175–182 (1970)
Syuto, M., Shen, J., Tanno, K., Ishizuka, O.: Multi-input variable-threshold circuits for multi-valued logic functions. In: Proc. 30th Int. Symp. on Multiple-Valued Logic, Portland, Oregon, USA, May 23-25, pp. 27–32 (2000)
Stanković, S., Astola, J., Stanković, R.S.: Remarks on beads and shapes of decision diagrams for the representation of discrete functions. In: Proc. 10th Int. Workshop on Boolean Problems, September 19-21, pp. 49–57 (2011)
Stanković, S., Stanković, R.S., Astola, J.: Remarks on shapes of decision diagrams and classes of multiple-valued functions. In: Proc. 42nd Int. Symp. on Multiple-Valued Logic, Victoria, Vanada, May 13-15 (2012)
Stanković, R.S., Moraga, C., Astola, J.T.: Foruier Analysis on Finite Non-Abelian Groups with Applications in Signal Processing and System Design. Wiley/IEEE Press (2005)
Tan, E.C., Chia, C.Y.: Alternative algorithm for optimisation of Reed-Muller universal logic module networks. IEE Proc. Comput. Digit. Tech. 143(6), 385–390 (1996)
Xu, L., Almaini, A.E.A., Miller, J.F., McKenzie, L.: Reed-Muller universal logic module networks. IEE Proc. E 140(2), 105–108 (1993)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Stanković, R.S., Astola, J.T., Moraga, C., Stanković, S. (2013). Remarks on Systems, Beads, and Bead Sets. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2013. EUROCAST 2013. Lecture Notes in Computer Science, vol 8112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53862-9_33
Download citation
DOI: https://doi.org/10.1007/978-3-642-53862-9_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-53861-2
Online ISBN: 978-3-642-53862-9
eBook Packages: Computer ScienceComputer Science (R0)