Parallel optical negabinary arithmetic based on logic operations

Applied Optics

Volumn 36, Issue 5, 1997, Pages 1011-1016

  Li, Guoqiang ^a   Liu, Liren ^a   Shao, Lan ^a   Yin, Yaozu ^a   Hua, Jiawen ^a  

^a SHANGHAI INSTITUTE OF OPTICS AND FINE MECHANICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DECODING; ENCODING (SYMBOLS); LIGHT MODULATION; LITHIUM COMPOUNDS; LOGIC GATES; OPTOELECTRONIC DEVICES;

ARITHMETIC AND LOGIC UNIT; LITHIUM NIOBATE; LOGIC OPERATIONS; ONE STEP SUBTRACTION; PARALLEL OPTICAL NEGABINARY ARITHMETIC; POLARIZERS; SIGNED DIGIT NEGABINARY; TWO STEP PARALLEL ADDITION;

BINARY SEQUENCES;

EID: 0031079424     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.001011     Document Type: Article

References (25)

1. A. A. Sawchuk and T. C. Strand, “Digital optical computing, ” Proc. IEEE 72, 758-779 (1984).
2. W. T. Cathey, K. Wagner, and W. T. Miceli, “Digital computing with optics, ” Proc. IEEE 77, 1558-1572 (1989).
3. A. Kostrzewski, D. H. Kim, Y. Li, and G. Eichmann, “Fast hybrid parallel carry look-ahead adder, ” Opt. Lett. 15, 915-917 (1990).
4. A. S. P. Kozaitis, “Higher-ordered rules for symbolic substitution, ” Opt. Commun. 65, 339-342 (1988).
5. M. L. Heinrich, R. A. Athale, and M. W. Huang, “Numerical optical computing in the residue number system with outer-product look-up tables, ” Opt. Lett. 14, 847-849 (1989).
6. R. P. Bocker, B. L. Drake, M. E. Lasher, and T. B. Henderson, “Modified signed-digit addition and subtraction using optical symbolic substitution, ” Appl. Opt. 25, 2456-2457 (1986).
7. S. Zhou, S. Campbell, P. Yeh, and Hua-kuang Liu, “Modified-signed-digit optical computing by using fan-out elements, ” Opt. Lett. 17, 1697-1699 (1992).
8. K. W. Wong and L. M. Cheng, “Optical modified signed-digit addition based on binary logical operations, ” Opt. Laser Tech-nol. 26, 213-217 (1994).
9. Y. Li and G. Eichmann, “Conditional symbolic modified signeddigit arithmetic using optical content-addressable memory logic elements, ” Appl. Opt. 26, 2328-2333 (1987).
10. A. K. Cherri and M. A. Karim, “Modified-signed-digit arithmetic using an efficient symbolic substitution, ” Appl. Opt. 27, 3824-3827 (1988).
11. A. A. S. Awwal, “Recoded signed-digit binary addition-subtraction using opto-electronic symbolic substitution, ” Appl. Opt. 31, 3205-3208 (1992).
12. S. Zhou, S. Campbell, P. Yeh, and H. Liu, “Two-stage modified signed-digit optical computing by spatial data encoding and polarization multiplexing, ” Appl. Opt. 34, 793-802 (1995).
13. M. M. Mirsalehi and T. K. Gaylord, “Logical minimization of multilevel coded functions, ” Appl. Opt. 25, 3078-3088 (1986).
14. S. Barua, “Single-stage optical adder/subtractor, ” Opt. Eng. 30, 265-270 (1991).
15. H. Huang, M. Itoh, and T. Yatagai, “Modified signed-digit arithmetic based on redundant bit representation, ” Appl. Opt. 33, 6146-6156 (1994).
16. M. S. Alam, K. Jemili and M. A. Karim, “Optical higher-order quaternary signed-digit arithmetic, ” Opt. Eng. 33, 3419-3426 (1994).
17. M. S. Alam, “Efficient trinary signed-digit symbolic substitution, ” Opt. Lett. 19, 353-355 (1994).
18. A. A. S. Awwal, M. N. Islam, and M. A. Karim, “Modified signed-digit trinary arithmetic by using optical symbolic substitution, ” Appl. Opt. 31, 1687-1694 (1992).
19. M. S. Alam, “Parallel optical computing using recoded trinary signed-digit numbers, ” Appl. Opt. 33, 4392-4397 (1994).
20. S. Zhou, S. Campell, W. Wu, P. Yeh, and H. Liu, “Modified-signed-digit arithmetic for multi-input digital optical computing, ” Appl. Opt. 33, 1507-1516 (1994).
21. A. K. Datta, A. Basuray, and S. Mukhopadhyay, “Arithmetic operations in optical computations using a modified trinary number system, ” Opt. Lett. 14, 426-428 (1989).
22. G. Li, L. Liu, L. Shao, and Z. Wang, “Negative binary arithmetic algorithms for digital parallel optical computation, ” Opt. Lett. 19, 1337-1339 (1994).
23. K. A. Ghoneim and D. Casasent, “High-accuracy pipelined iterative-tree optical multiplication, ” Appl. Opt. 33, 1517-1527 (1994).
24. J. Tanida and Y. Ichioka, “Optical logic gate array processor using shadowgrams, ” J. Opt. Soc. Am. 73, 800-809 (1983).
25. T. Yatagai, “Optical space-variant logic-gate array based on spatial encoding technique, ” Opt. Lett. 11, 260-262 (1986).