Parallel computation of complex elementary functions using quaternary signed-digit arithmetic

Optics and Laser Technology

Volumn 32, Issue 6, 2000, Pages 391-399

  Cherri, A K ^a   Alam, M S ^b  

^a KUWAIT UNIVERSITY   (Kuwait)

^b University of Alabama   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL ARITHMETIC; FUNCTIONS; OPTICAL CORRELATION;

MULTIPLICATIVE NORMALIZATION; SIGNED DIGITS; SYMBOLIC SUBSTITUTION;

PARALLEL ALGORITHMS;

EID: 0034508849     PISSN: 00303992     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0030-3992(00)00103-1     Document Type: Article

References (25)

1. Hwang K. Computer arithmetic principles: architecture and design. 1979;Wiley, New York.
2. Avizienis A. Signed-digit number representations for fast parallel arithmetic. IRE Trans Electron Comput. EC-10:1961;389-400.
3. Hwang K., Panda D.K. High-radix symbolic substitution and superposition techniques for optical matrix algebraic computations. Opt Engng. 31:1992;2422-2433.
4. Bocker R.P., Drake B.L., Lasher M.E., Henderson T.B. Modified signed-digit addition and subtraction using optical symbolic substitution. Appl Opt. 25:1986;2456-2457.
5. Cherri A.K., Karim M.K. Modified signed digit arithmetic using an efficient symbolic substitution. Appl Opt. 27:1988;3824-3827.
6. Li Y., Eichmann G. Conditional symbolic modified-signed-digit arithmetic using optical content-addressable memory logic elements. Appl Opt. 26(12):1987;2328-2333.
7. Cherri A.K., Khachab N.I. Canonical quaternary signed-digit arithmetic using optoelectronics symbolic substitution. Opt Laser Technol. 28:1996;397-403.
8. Alam M.S., Ahuja Y., Cherri A.K., Chatterjea A. Symmetrically recoded quaternary signed-digit arithmetic using a shared content-addressable memory. Opt Engng. 35:1996;1141-1149.
9. Cherri A.K., Alam M.S., Awwal A.A.S. Optoelectronics symbolic substitution based canonical modified signed-digit arithmetic. Opt Laser Technol. 29:1997;151-157.
10. Cherri A.K. Symmetrically recoded modified signed-digit optical addition and subtraction. Appl Opt. 33:1994;4378-4382.
11. Ha B., Li Y. Parallel modified signed-digit arithmetic using an optoelectronic shared content-addressable-memory processor. Appl Opt. 33:1994;3647-3662.
12. Li G., Liu L., Cheng H., Jing H. Simplified quaternary signed-digit arithmetic and its optical implementation. Opt Commun. 137:1997;389-396.
13. Huang H., Itoh M., Yatagai T. Modified signed-digit arithmetic based on redundant bit representation. Appl Opt. 33:1994;6146-6156.
14. Cherri A.K. Classified one-step high-radix signed-digit arithmetic units. Opt Engng. 37:1998;2324-2333.
15. Alam M.S. Parallel optoelectronics trinary signed-digit division. Opt Engng. 38:1999;441-448.
16. Habib M.K., Cherri A.K. Two-step optoelectronics quaternary signed-digit adder using optical correlation. Opt Laser Technol. 30(6-7):1998;377-390.
17. Habib M.K., Cherri A.K. Parallel quaternary signed-digit arithmetic operations: addition, subtraction, multiplication and division. Opt Laser Technol. 30(8):1998;515-525.
18. Cherri A.K. Signed-digit arithmetic for optical computing: digit grouping and pixel assignment for spatial encoding. Opt Engng. 38(3):1999;422-431.
19. Cherri A.K., Habib M.K., Alam M.S. Optoelectronic recoded and non-recoded trinary signed-digit adder using optical correlation. Appl Opt. 37:1998;2153-2163.
20. Casasent D.P., Botha E.C. Optical correlator production system neural net. Appl Opt. 31:1992;1030-1040.
21. Casasent D.P., Woodford P. Symbolic substitution modified signed-digit optical adder. Appl Opt. 33:1994;1498-1506.
22. Al-Ghoneim K., Casasent D.P. High-accuracy pipelined iterative-tree optical multiplication. Appl Opt. 33:1994;1517-1527.
23. Huang A. Parallel algorithm for optical digital computer. In: Horvitz S, editor. Proceedings of the IEEE 10th International Optical Computing Conference, 1983. p. 13-17.
24. Louri A. Optical content-addressable memory parallel processor: architecture, algorithms, and design concepts. Appl Opt. 31:1992;3241-3258.
25. Li G., Liu L., Cheng H., Yan X. Parallel quaternary signed-digit multiplication and its use for matrix-vector operation. Optik. 107:1998;165-172.