Abstract
Cellular Neural/Nonlinear Networks (CNN) are analog, non-linear, mainly locally connected processor arrays placed on a multidimensional grid. In this tutorial the general framework and some application areas are described, mainly for mathematicians and physicists. The new invention, the CNN Universal Machine is exposed as well; its unique capability of implementing stored-programmable nonlinear spatial dynamics is highlighted. Finally, the first silicon VLSI implementations providing enormous computing power (in the order of 1012 operations per second on a single chip) are reviewed.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
L.O.Chua and L.Yang, “Cellular neural networks: Theory,” IEEE Trans. Circuits and Systems, vol. 35, pp. 1257–72, 1988.
L.O.Chua and L.Yang, “Cellular neural networks: Applications,” IEEE Trans. Circuits and Systems, vol. 35, pp. 1273–90, 1988.
T.Roska and L.O.Chua, “Cellular neurl networks with non-linear and delay-type template elements,” Int. J. Circuit Theory and Applications, vol. 20, pp. 469–481, 1992.
L.O.Chua and T.Roska, “The CNN paradigm,” IEEE Trans. Circuits and Systems-I, vol. 40, pp. 147–156, March 1993.
T.Roska and L.O.Chua, “The CNN Universal Machine: An analogic array computer,” IEEE Trans. Circuits and Systems-II, vol. 40, pp. 163–173, March 1993.
Proc. First IEEE Int. Workshop on Cellular Neural Networks and their Applications (CNN-90), ed. T.Roska, 1990.
Proc. 2nd IEEE Int. Workshop on Cellular Neural Networks and their Applications, ed. J.A.Nossek, 1992.
Special Issue on Cellular Neural Networks (eds. J.Vandewalle and T.Roska), Int. J. Circuit Theory and Applications, vol. 20, Sept–Oct. 1992.
Special Issues on Cellular Neural Networks (eds. J.A.Nossek and T.Roska), IEEE Trans. Circuits and Systems, I: Fundamental theory and applications and II: Analog and digital signal processing, vol. 40, March 1993.
T.Roska and J.Vandewalle (eds.), Cellular Neural Networks, J.Wiley and Sons, Chichester, London, New York, 1993.
“The CNN Workstation User's Manual, Version 5.1,” Computer and Automation Institute of the Hung. Acad. Sci. (MTA-SzTAKI), Budapest, 1993.
T.Roska, L.O.Chua, and A.Zarándi, “Language, compiler, and operating system for the CNN supercomputer,” UCB/ERL Memo No. M93/93, Berkeley, California, April 1993.
A.Rodriguez-Vazquez et. al., “On a 16×16 CNN chip with optical sensors,” Internal report, Microelectronics Ceneter, University of Sevilla, Sevilla, 1993.
J.M.Cruz and L.O.Cuha, “Design high speed high density CNN's in CMOS technology,” CAS 1992
H.Harrer, J.A.Nossek, and R.Stelzl, “An analog implementation of discrete-time cellular neural networks,” IEEE Trans. Neural Networks, vol. 3, pp. 466–477, 1992.
K.Halonen, V.Porra, T.Roska, L.O.Chua, “VLSI implementation of a reconfigurable cellular neural network containing local logic (CNNL),” Int. J. Circuit Theory and Applications, vol. 20, pp. 573–582, 1992.
Internal reports of the Nonlinear Electronics Laboratory at ERL, U. C. Berkeley; private communication
A.Rodriguez-Vazquez, private communication
V.Pèrez-Muñuzurri, V.Pèrz-Villar, and L.O.Chua, “Autovawes for image processing on a two-dimensional array of Chua's circuits: flat and wrinkled labyrinths,” IEEE Trans. Circuits and Sytems, vol. 40, pp. 174–181, March, 1993.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chua, L.O., Roska, T., Kozek, T. (1995). Cellular neural networks — A tutorial on programmable nonlinear dynamics in space. In: Andersson, S.I. (eds) Analysis of Dynamical and Cognitive Systems. Lecture Notes in Computer Science, vol 888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58843-4_14
Download citation
DOI: https://doi.org/10.1007/3-540-58843-4_14
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-58843-6
Online ISBN: 978-3-540-49113-2
eBook Packages: Springer Book Archive