Abstract
Optoelectronic processors have already been developed with the strong potentiality of optics in information and data processing. Encoder, Decoder, Multiplexers and Demultiplexers are the most important components in modern system designs and in communications. We have implemented the same using trinary logic gates with signed magnitude defined as Modified Trinary Number (MTN). The Spatial Light Modulator (SLM) based optoelectronic circuit is suitable for high speed data processing and communications using photon as carrier. We also presented here a possible method of implementing the same using light with photon as carrier of information. The importance of the method is that all the basic gates needed may be fabricated based on basic building block.
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References
A.Avizienis “Signed-digit number representation for fast parallel arithmetic”, IRE Trans. Electron. Comp. EC-10 pp 389-400 (1961).
A.K.Datta, A.Basuray and S.Mukhopadhyay, “Arithmetic operations in optical computations using a modified trinary number of system”, Optics Letters 14 pp 426-428 (1989).
[3] Fyath R.S.; Alsaffar A.A.W.; Alam M.S., “Optical two-step modified signed-digit addition based on binary logic gates”, Optics Communications, Volume 208,Number 4, pp. 263-273(2002).
R. S. Fyath, A. A. W. Alsaffar and M. S. Alam, “Nonrecoded trinary signed-digit multiplication based on digit grouping and pixel assign-ment”, Optics Communications, Vol.230, Issue1-3, pp.35-44 (2004).
[5] Amal K. Ghosh and A.Basuray, “Trinary optical logic processors using shadow casting with polarized light”, Optics Communications, vol.79, number 1,2 pp 11 – 14 (1990).
[6] A.Basuray, S.Mukhopadhyay, Hirak K.Ghosh, A.K.Dutta, “A tristate optical logic system”, Optics Comm., vol.85, pp 167 –170 (1991).
S.Lin and I.Kumazawa, “Optical fuzzy image processing based on shadow casting”, Optics Communications, Vol 94 pp.397-405 (1992).
[8] A. K. Cherri, “Designs of Optoelectronic Trinary Signed-Digit Multiplication by use of Joint Spatial Encodings and Optical Correlation ”, Appl. Opt. 38, 828-837 (1999).
[9] A.K.Cherri and M.S. Alam, “Algorithms for Optoelectronic Implemen-tation of Modified Signed-Digit Division, Square-Root, Log-arithmic, and Exponential Functions”, Appl. Opt. 40, 1236-1243 (2001).
[10] Thoidis, I.M.; Soudris, D.; Karafyllidis, I.; Thanailakis, A., “The design of low power multiple-valued logic encoder and decoder circuits,” Proceedings of ICECS apos;99, The 6th IEEE International Conference on Electronics, Circuits and Systems,1999, vol.3, pp.1623-1626 (1999).
Mozammel H.A. Khan, and Marek Perkowski, “Quantum Realization of Ternary Encoder and Decoder,” Proc. International Symposium on Representations and Methodologies for Emergent Computing Technologies, Tokyo, Japan, (September 2005).
[12] Brackenbury,L.E.M., “Multiplexer as a universal computing element for electro-optic logic systems,” IEE Proceedings-J(Optoelectronics), 137(5),pp.305-310 (1990).
[13] S. Yasuda, Y. Ohtomo, M.Ino, Y.Kado and T.Tsuchiya, “3-Gb/s CMOS 1:4 MUX and DEMUX Ics”, IEICE Trans. Electron, vol.E78-C, no.12, pp.1746-1753, ( December 1995).
T.Yamamoto, E.Yoshida and M.Nakazawa, “Ultra fast non-linear optical loop mirror for demultiplexing 640Gbits/s TDM signals”, Electron Lett. 34, pp. 1013 – 1014 (1998).
I .Glesk, R.J.Runser and P.R.Prucnal “New generation of devices for all-optical communication,” Acta Phys Slov, 51, pp.151-162(2001).
[16] A. Tanabe, Y. Nakahara, A. Furukawa and T. Mogami, “A Redundant Multivalued Logic for a 10-Gb/s CMOS Demultiplexer IC”, IEEE J. Solid-State Circuits, vol.38, pp.107-113(January 2003).
Kim, Jeong Beom and Ahn, Sun Hong, “An 11 Gb/s CMOS Demultiplexer Using Redundant Multi-valued Logic”, 13th IEEE International Conference on Electronics, Circuits and Systems, (ICECS’06), pp.838-841(2006).
Amal K. Ghosh, P.Pal Choudhury and A.Basuray,”Modified Trinary Optical Logic Gates and their Applications in Optical Computation”, CISSE 2007, IEEE, University of Bridgeport and published in the proceeding on Innovations and Advanced Techniques in Systems, Computing Sciences and Software (Springer, 2008) pp. 87-92 (2008).
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Ghosh, A.K., Singha Roy, S., Mandal, S., Basuray, A. (2010). Trinary Encoder, Decoder, Multiplexer and Demultiplexer Using Savart Plate and Spatial Light Modulator. In: Elleithy, K. (eds) Advanced Techniques in Computing Sciences and Software Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3660-5_71
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DOI: https://doi.org/10.1007/978-90-481-3660-5_71
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