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Implementation of the modified-signed digit(MSD) number adder using triple rail-coding input and symbolic substitution  

Shin, Chang-Mok (Optical Signal Processing Lab, School of Electrical Engineering and Computer Science, Kyungpook Nat'l University)
Kim, Soo-Joong (Optical Signal Processing Lab, School of Electrical Engineering and Computer Science, Kyungpook Nat'l University)
Seo, Dong-Hoan (Division of Electrical and Electronics Engineering, Korea Maritime University)
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Abstract
An optical parallel modified signed-digit(MSD) number adder system is proposed by using triple rail-coding input patterns and serial arrangement method of symbolic substitution. By combing overlapped arithmetic results. which are produced by encoding MSD input as triple rail-coding patterns. into the same patterns, symbolic substitution rules are reduced and also by using serialized and space-shifted input patterns in optical experiments, the optical adder without space-shifting operation, NOR operation and threshold operation is implemented.
Keywords
symbolic substitution; optical adder; serial arrangement; modified signed-digit number;
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1 K-H. Brenner, A. Huang, and N. Streibl, 'Digital optical computing with symbolic substitution,' Applied Optics, vol. 25, no. 18, pp. 3054-3060, September 1986   DOI
2 K-H Brenner, 'New implementation of symbolic substitution logic,' Applied Optics, vol. 25, no. 18, pp. 3061-3064, September 1986   DOI
3 H. Huang, M. Itoh, and T. Yatagai, 'Modified signed-digit arithmetic based on redundant bit representation,' Applied Optics, vol. 33, no. 26, pp. 6146-6156, September 1994   DOI
4 S. Barua, 'Single-stage optical adder/subtracter,' Optical Engineering, vol. 30, pp. 265-270, 1991   DOI
5 A. W. Lohmann and J. Weigelt, 'Digital optical adder based on spatial filtering,' Applied Optics, vol. 25, no. 18, pp. 3047-3053, September 1986   DOI
6 A. W. Lohmann and J. Weigelt, 'Digital optical adder based on spatial filtering,' Applied Optics, vol. 25, no. 18, pp. 3047-3053, September 1986   DOI
7 D. Psaltis and D. casasent, 'Optical residue arithmetic a correlation approach,' Applied Optics, vol. 18, no. 2. pp. 163-171, January 1979   DOI   ScienceOn
8 M. S. Alam, M. A. Karim, A. A. S. Awwal and J. J. Westerkamp, 'Optical processing based on conditional high-order trinary modified signed-digit symbolic substitution,' Applied Optics, vol. 31, no. 26, pp. 5614-5621, September 1992   DOI
9 A. Huang, 'Parallel algorithms for optical digital computers,' in Technical Digest. IEEE Tenth International Optical Computing Conference, pp. 13-17, 1983