S. Zhang, M. A. Karim, “Programmable modified-signed-digit addition module based on binary logic gates,” Opt. Eng. 38, 456–461 (1999).

[CrossRef]

S. Zhang, M. A. Karim, “Optical arithmetic processing using improved redundant binary algorithms,” Opt. Eng. 38, 415–421 (1999).

[CrossRef]

A. K. Cherri, “Signed-digit arithmetic for optical computing: digit grouping and pixel assignment for spatial encoding,” Opt. Eng. 38, 422–431 (1999).

[CrossRef]

M. S. Alam, “Parallel optoelectronic trinary signed-digit division,” Opt. Eng. 38, 441–448 (1999).

[CrossRef]

G. Li, F. Qian, H. Ruan, L. Liu, “Parallel optical negabinary signed-digit computing: algorithm and optical implementation,” Opt. Eng. 38, 403–414 (1999).

[CrossRef]

H. Huang, M. Itoh, T. Yatagai, “Optical scalable parallel modified signed-digit algorithms for large-scale array addition and multiplication using digit-decomposition-plane representation,” Opt. Eng. 38, 432–440 (1999).

[CrossRef]

G. Li, L. Liu, H. Cheng, X. Yan, “Parallel optical quaternary signed-digit multiplication and its use for matrix-vector operation,” Optik (Stuttgart) 107, 165–172 (1998).

S. Zhou, S. Campbell, P. Yeh, H. K. Liu, “Two-stage modified signed-digit optical computing by spatial data encoding and polarization multiplexing,” Appl. Opt. 34, 793–802 (1995).

[CrossRef]
[PubMed]

A. K. Datta, M. Seth, “Parallel arithmetic operations in an optical architecture using a modified iterative technique,” Opt. Comm. 115, 245–250 (1995).

[CrossRef]

S. Bandyopadhyay, A. K. Datta, S. S. Bawa, A. M. Biradar, S. Chandra, “Realization of digital optical matrix-vector multiplication,” J. Phys. D 28, 7–11 (1995).

[CrossRef]

G. Li, L. Liu, “Complex-valued matrix-vector multiplication using twos complement representation,” Opt. Comm. 105, 161–166 (1994).

[CrossRef]

G. Li, L. Liu, “Negabinary encoding for optical complex matrix operation,” Opt. Comm. 113, 15–19 (1994).

[CrossRef]

L. Liu, G. Li, Y. Yin, “Optical complex matrix-vector multiplication with negative binary inner products,” Opt. Lett. 19, 1759–1761 (1994).

[CrossRef]
[PubMed]

M. S. Alam, “Parallel optical computing using recoded trinary signed-digit numbers,” Appl. Opt. 33, 4392–4397 (1994).

[CrossRef]
[PubMed]

M. S. Alam, K. Jemili, M. A. Karim, “Optical higher-order quaternary signed-digit arithmetic,” Opt. Eng. 33, 3419–3426 (1994).

[CrossRef]

K. W. Wong, L. M. Cheng, “Optical modified signed-digit addition based on binary logical operations,” Opt. Laser Technol. 26, 213–217 (1994).

[CrossRef]

H. Huang, M. Itoh, T. Yatagai, “Modified signed-digit arithmetic based on redundant bit representation,” Appl. Opt. 33, 6146–6156 (1994).

[CrossRef]
[PubMed]

G. Li, L. Liu, L. Shao, Z. Wang, “Negative binary arithmetic algorithms for digital parallel optical computation,” Opt. Lett. 19, 1337–1339 (1994).

[CrossRef]
[PubMed]

J. Tanida, M. Iwata, Y. Ichioka, “Extended coding for optical array logic,” Appl. Opt. 33, 3363–3369 (1994).

[CrossRef]

A. K. Datta, M. Seth, “Multi-input optical parallel logic processing with the shadow-casting technique,” App. Opt. 33, 8146–8152 (1994).

[CrossRef]

Y. Wu, Z. Zhang, L. Liu, Z. Wang, “Arithmetic operation using binary encoding modified-signed-digit system,” Opt. Comm. 100, 53–58 (1993).

[CrossRef]

G. Eichmann, A. Kostrzewski, D. H. Kim, Y. Li, “Optical higher-order symbolic recognition,” Appl. Opt. 29, 2135–2147 (1990).

[CrossRef]
[PubMed]

A. Kostrzewski, D. H. Kim, Y. Li, G. Eichmann, “Fast hybrid parallel carry-ahead adder,” Opt. Lett. 15, 915–917 (1990).

[CrossRef]
[PubMed]

S. Mukhopadhyay, A. Basuray, A. K. Datta, “New technique of arithmetic operation using positional residue system,” App. Opt. 29, 2981–2893 (1990).

[CrossRef]

M. L. Heinrich, R. A. Athale, M. W. Huang, “Numerical optical computing in the residue number system with outer-product look-up tables,” Opt. Lett. 14, 847–849 (1989).

[CrossRef]
[PubMed]

A. K. Datta, A. Basuray, S. Mukhopadhyay, “Arithmetic operations in optical computations using a modified trinary number system,” Opt. Lett. 14, 426–428 (1989).

[CrossRef]
[PubMed]

A. S. P. Kozaitis, “Higher-ordered rules for symbolic substitution,” Opt. Comm. 65, 339–342 (1988).

[CrossRef]

R. P. Bocker, B. L. Drake, M. E. Lasher, T. B. Henderson, “Modified signed-digit addition and subtraction using optical symbolic substitution,” Appl. Opt. 25, 2456–2457 (1986).

[CrossRef]
[PubMed]

E. Swartzlander, “Digital optical arithmetic,” Appl. Opt. 25, 3021–3032 (1986).

[CrossRef]
[PubMed]

C. Perlee, D. Casasent, “Negative base encoding in optical linear algebra processors,” Appl. Opt. 25, 168–169 (1986).

[CrossRef]
[PubMed]

S. Cartwright, S. C. Gustafson, “Convolver based optical systolic processing architecture,” Opt. Eng. 24, 59–62 (1985).

[CrossRef]

M. S. Alam, “Parallel optoelectronic trinary signed-digit division,” Opt. Eng. 38, 441–448 (1999).

[CrossRef]

M. S. Alam, K. Jemili, M. A. Karim, “Optical higher-order quaternary signed-digit arithmetic,” Opt. Eng. 33, 3419–3426 (1994).

[CrossRef]

M. S. Alam, “Parallel optical computing using recoded trinary signed-digit numbers,” Appl. Opt. 33, 4392–4397 (1994).

[CrossRef]
[PubMed]

M. S. Alam, M. A. Karim, A. A. S. Awwal, J. J. Westerkamp, “Optical processing based on conditional higher-order trinary modified signed-digit symbolic substitution,” Appl. Opt. 31, 5614–5621 (1992).

[CrossRef]
[PubMed]

S. Bandyopadhyay, A. K. Datta, S. S. Bawa, A. M. Biradar, S. Chandra, “Realization of digital optical matrix-vector multiplication,” J. Phys. D 28, 7–11 (1995).

[CrossRef]

S. Mukhopadhyay, A. Basuray, A. K. Datta, “New technique of arithmetic operation using positional residue system,” App. Opt. 29, 2981–2893 (1990).

[CrossRef]

A. K. Datta, A. Basuray, S. Mukhopadhyay, “Arithmetic operations in optical computations using a modified trinary number system,” Opt. Lett. 14, 426–428 (1989).

[CrossRef]
[PubMed]

S. Bandyopadhyay, A. K. Datta, S. S. Bawa, A. M. Biradar, S. Chandra, “Realization of digital optical matrix-vector multiplication,” J. Phys. D 28, 7–11 (1995).

[CrossRef]

S. Bandyopadhyay, A. K. Datta, S. S. Bawa, A. M. Biradar, S. Chandra, “Realization of digital optical matrix-vector multiplication,” J. Phys. D 28, 7–11 (1995).

[CrossRef]

D. Psaltis, D. Casasent, D. Neft, M. Carlotto, “Accurate numerical computation by optical convolution,” in Optical Computing II, W. T. Rhodes, ed., Proc. SPIE232, 151–156 (1980).

C. Perlee, D. Casasent, “Negative base encoding in optical linear algebra processors,” Appl. Opt. 25, 168–169 (1986).

[CrossRef]
[PubMed]

D. Psaltis, D. Casasent, D. Neft, M. Carlotto, “Accurate numerical computation by optical convolution,” in Optical Computing II, W. T. Rhodes, ed., Proc. SPIE232, 151–156 (1980).

S. Bandyopadhyay, A. K. Datta, S. S. Bawa, A. M. Biradar, S. Chandra, “Realization of digital optical matrix-vector multiplication,” J. Phys. D 28, 7–11 (1995).

[CrossRef]

G. Li, L. Liu, H. Cheng, X. Yan, “Parallel optical quaternary signed-digit multiplication and its use for matrix-vector operation,” Optik (Stuttgart) 107, 165–172 (1998).

K. W. Wong, L. M. Cheng, “Optical modified signed-digit addition based on binary logical operations,” Opt. Laser Technol. 26, 213–217 (1994).

[CrossRef]

A. K. Cherri, “Signed-digit arithmetic for optical computing: digit grouping and pixel assignment for spatial encoding,” Opt. Eng. 38, 422–431 (1999).

[CrossRef]

A. K. Datta, M. Seth, “Parallel arithmetic operations in an optical architecture using a modified iterative technique,” Opt. Comm. 115, 245–250 (1995).

[CrossRef]

S. Bandyopadhyay, A. K. Datta, S. S. Bawa, A. M. Biradar, S. Chandra, “Realization of digital optical matrix-vector multiplication,” J. Phys. D 28, 7–11 (1995).

[CrossRef]

A. K. Datta, M. Seth, “Multi-input optical parallel logic processing with the shadow-casting technique,” App. Opt. 33, 8146–8152 (1994).

[CrossRef]

S. Mukhopadhyay, A. Basuray, A. K. Datta, “New technique of arithmetic operation using positional residue system,” App. Opt. 29, 2981–2893 (1990).

[CrossRef]

A. K. Datta, A. Basuray, S. Mukhopadhyay, “Arithmetic operations in optical computations using a modified trinary number system,” Opt. Lett. 14, 426–428 (1989).

[CrossRef]
[PubMed]

G. Eichmann, A. Kostrzewski, D. H. Kim, Y. Li, “Optical higher-order symbolic recognition,” Appl. Opt. 29, 2135–2147 (1990).

[CrossRef]
[PubMed]

A. Kostrzewski, D. H. Kim, Y. Li, G. Eichmann, “Fast hybrid parallel carry-ahead adder,” Opt. Lett. 15, 915–917 (1990).

[CrossRef]
[PubMed]

Y. Li, G. Eichmann, “Conditional symbolic modified signed-digit arithmetic using optical content-addressable memory logic elements,” Appl. Opt. 26, 2328–2333 (1987).

[CrossRef]
[PubMed]

P. S. Guilfoyle, “Systolic acousto-optic binary convolver,” Opt. Eng. 23, 20–25 (1984).

[CrossRef]

S. Cartwright, S. C. Gustafson, “Convolver based optical systolic processing architecture,” Opt. Eng. 24, 59–62 (1985).

[CrossRef]

H. Huang, M. Itoh, T. Yatagai, “Optical scalable parallel modified signed-digit algorithms for large-scale array addition and multiplication using digit-decomposition-plane representation,” Opt. Eng. 38, 432–440 (1999).

[CrossRef]

H. Huang, M. Itoh, T. Yatagai, “Modified signed-digit arithmetic based on redundant bit representation,” Appl. Opt. 33, 6146–6156 (1994).

[CrossRef]
[PubMed]

K. Hwang, Computer Arithmetic: Principles, Architecture and Design (Wiley, New York, 1979).

H. Huang, M. Itoh, T. Yatagai, “Optical scalable parallel modified signed-digit algorithms for large-scale array addition and multiplication using digit-decomposition-plane representation,” Opt. Eng. 38, 432–440 (1999).

[CrossRef]

H. Huang, M. Itoh, T. Yatagai, “Modified signed-digit arithmetic based on redundant bit representation,” Appl. Opt. 33, 6146–6156 (1994).

[CrossRef]
[PubMed]

J. Tanida, M. Iwata, Y. Ichioka, “Extended coding for optical array logic,” Appl. Opt. 33, 3363–3369 (1994).

[CrossRef]

M. S. Alam, K. Jemili, M. A. Karim, “Optical higher-order quaternary signed-digit arithmetic,” Opt. Eng. 33, 3419–3426 (1994).

[CrossRef]

S. Zhang, M. A. Karim, “Programmable modified-signed-digit addition module based on binary logic gates,” Opt. Eng. 38, 456–461 (1999).

[CrossRef]

S. Zhang, M. A. Karim, “Optical arithmetic processing using improved redundant binary algorithms,” Opt. Eng. 38, 415–421 (1999).

[CrossRef]

M. S. Alam, K. Jemili, M. A. Karim, “Optical higher-order quaternary signed-digit arithmetic,” Opt. Eng. 33, 3419–3426 (1994).

[CrossRef]

M. S. Alam, M. A. Karim, A. A. S. Awwal, J. J. Westerkamp, “Optical processing based on conditional higher-order trinary modified signed-digit symbolic substitution,” Appl. Opt. 31, 5614–5621 (1992).

[CrossRef]
[PubMed]

G. Eichmann, A. Kostrzewski, D. H. Kim, Y. Li, “Optical higher-order symbolic recognition,” Appl. Opt. 29, 2135–2147 (1990).

[CrossRef]
[PubMed]

A. Kostrzewski, D. H. Kim, Y. Li, G. Eichmann, “Fast hybrid parallel carry-ahead adder,” Opt. Lett. 15, 915–917 (1990).

[CrossRef]
[PubMed]

A. Kostrzewski, D. H. Kim, Y. Li, G. Eichmann, “Fast hybrid parallel carry-ahead adder,” Opt. Lett. 15, 915–917 (1990).

[CrossRef]
[PubMed]

G. Eichmann, A. Kostrzewski, D. H. Kim, Y. Li, “Optical higher-order symbolic recognition,” Appl. Opt. 29, 2135–2147 (1990).

[CrossRef]
[PubMed]

A. S. P. Kozaitis, “Higher-ordered rules for symbolic substitution,” Opt. Comm. 65, 339–342 (1988).

[CrossRef]

G. Li, F. Qian, H. Ruan, L. Liu, “Parallel optical negabinary signed-digit computing: algorithm and optical implementation,” Opt. Eng. 38, 403–414 (1999).

[CrossRef]

G. Li, L. Liu, H. Cheng, X. Yan, “Parallel optical quaternary signed-digit multiplication and its use for matrix-vector operation,” Optik (Stuttgart) 107, 165–172 (1998).

G. Li, L. Liu, Y. Yin, J. Hua, “Parallel optical negabinary arithmetic based on logic operations,” Appl. Opt. 36, 1011–1016 (1997).

[CrossRef]
[PubMed]

G. Li, L. Liu, “Negabinary encoding for optical complex matrix operation,” Opt. Comm. 113, 15–19 (1994).

[CrossRef]

G. Li, L. Liu, “Complex-valued matrix-vector multiplication using twos complement representation,” Opt. Comm. 105, 161–166 (1994).

[CrossRef]

L. Liu, G. Li, Y. Yin, “Optical complex matrix-vector multiplication with negative binary inner products,” Opt. Lett. 19, 1759–1761 (1994).

[CrossRef]
[PubMed]

G. Li, L. Liu, L. Shao, Z. Wang, “Negative binary arithmetic algorithms for digital parallel optical computation,” Opt. Lett. 19, 1337–1339 (1994).

[CrossRef]
[PubMed]

A. Kostrzewski, D. H. Kim, Y. Li, G. Eichmann, “Fast hybrid parallel carry-ahead adder,” Opt. Lett. 15, 915–917 (1990).

[CrossRef]
[PubMed]

G. Eichmann, A. Kostrzewski, D. H. Kim, Y. Li, “Optical higher-order symbolic recognition,” Appl. Opt. 29, 2135–2147 (1990).

[CrossRef]
[PubMed]

Y. Li, G. Eichmann, “Conditional symbolic modified signed-digit arithmetic using optical content-addressable memory logic elements,” Appl. Opt. 26, 2328–2333 (1987).

[CrossRef]
[PubMed]

G. Li, F. Qian, H. Ruan, L. Liu, “Parallel optical negabinary signed-digit computing: algorithm and optical implementation,” Opt. Eng. 38, 403–414 (1999).

[CrossRef]

G. Li, L. Liu, H. Cheng, X. Yan, “Parallel optical quaternary signed-digit multiplication and its use for matrix-vector operation,” Optik (Stuttgart) 107, 165–172 (1998).

G. Li, L. Liu, Y. Yin, J. Hua, “Parallel optical negabinary arithmetic based on logic operations,” Appl. Opt. 36, 1011–1016 (1997).

[CrossRef]
[PubMed]

L. Liu, G. Li, Y. Yin, “Optical complex matrix-vector multiplication with negative binary inner products,” Opt. Lett. 19, 1759–1761 (1994).

[CrossRef]
[PubMed]

G. Li, L. Liu, “Complex-valued matrix-vector multiplication using twos complement representation,” Opt. Comm. 105, 161–166 (1994).

[CrossRef]

G. Li, L. Liu, “Negabinary encoding for optical complex matrix operation,” Opt. Comm. 113, 15–19 (1994).

[CrossRef]

G. Li, L. Liu, L. Shao, Z. Wang, “Negative binary arithmetic algorithms for digital parallel optical computation,” Opt. Lett. 19, 1337–1339 (1994).

[CrossRef]
[PubMed]

Y. Wu, Z. Zhang, L. Liu, Z. Wang, “Arithmetic operation using binary encoding modified-signed-digit system,” Opt. Comm. 100, 53–58 (1993).

[CrossRef]

S. Mukhopadhyay, A. Basuray, A. K. Datta, “New technique of arithmetic operation using positional residue system,” App. Opt. 29, 2981–2893 (1990).

[CrossRef]

A. K. Datta, A. Basuray, S. Mukhopadhyay, “Arithmetic operations in optical computations using a modified trinary number system,” Opt. Lett. 14, 426–428 (1989).

[CrossRef]
[PubMed]

D. Psaltis, D. Casasent, D. Neft, M. Carlotto, “Accurate numerical computation by optical convolution,” in Optical Computing II, W. T. Rhodes, ed., Proc. SPIE232, 151–156 (1980).

D. Psaltis, D. Casasent, D. Neft, M. Carlotto, “Accurate numerical computation by optical convolution,” in Optical Computing II, W. T. Rhodes, ed., Proc. SPIE232, 151–156 (1980).

G. Li, F. Qian, H. Ruan, L. Liu, “Parallel optical negabinary signed-digit computing: algorithm and optical implementation,” Opt. Eng. 38, 403–414 (1999).

[CrossRef]

G. Li, F. Qian, H. Ruan, L. Liu, “Parallel optical negabinary signed-digit computing: algorithm and optical implementation,” Opt. Eng. 38, 403–414 (1999).

[CrossRef]

A. K. Datta, M. Seth, “Parallel arithmetic operations in an optical architecture using a modified iterative technique,” Opt. Comm. 115, 245–250 (1995).

[CrossRef]

A. K. Datta, M. Seth, “Multi-input optical parallel logic processing with the shadow-casting technique,” App. Opt. 33, 8146–8152 (1994).

[CrossRef]

G. Li, L. Liu, L. Shao, Z. Wang, “Negative binary arithmetic algorithms for digital parallel optical computation,” Opt. Lett. 19, 1337–1339 (1994).

[CrossRef]
[PubMed]

Y. Wu, Z. Zhang, L. Liu, Z. Wang, “Arithmetic operation using binary encoding modified-signed-digit system,” Opt. Comm. 100, 53–58 (1993).

[CrossRef]

K. W. Wong, L. M. Cheng, “Optical modified signed-digit addition based on binary logical operations,” Opt. Laser Technol. 26, 213–217 (1994).

[CrossRef]

Y. Wu, Z. Zhang, L. Liu, Z. Wang, “Arithmetic operation using binary encoding modified-signed-digit system,” Opt. Comm. 100, 53–58 (1993).

[CrossRef]

G. Li, L. Liu, H. Cheng, X. Yan, “Parallel optical quaternary signed-digit multiplication and its use for matrix-vector operation,” Optik (Stuttgart) 107, 165–172 (1998).

H. Huang, M. Itoh, T. Yatagai, “Optical scalable parallel modified signed-digit algorithms for large-scale array addition and multiplication using digit-decomposition-plane representation,” Opt. Eng. 38, 432–440 (1999).

[CrossRef]

H. Huang, M. Itoh, T. Yatagai, “Modified signed-digit arithmetic based on redundant bit representation,” Appl. Opt. 33, 6146–6156 (1994).

[CrossRef]
[PubMed]

G. Li, L. Liu, Y. Yin, J. Hua, “Parallel optical negabinary arithmetic based on logic operations,” Appl. Opt. 36, 1011–1016 (1997).

[CrossRef]
[PubMed]

L. Liu, G. Li, Y. Yin, “Optical complex matrix-vector multiplication with negative binary inner products,” Opt. Lett. 19, 1759–1761 (1994).

[CrossRef]
[PubMed]

S. Zhang, M. A. Karim, “Programmable modified-signed-digit addition module based on binary logic gates,” Opt. Eng. 38, 456–461 (1999).

[CrossRef]

S. Zhang, M. A. Karim, “Optical arithmetic processing using improved redundant binary algorithms,” Opt. Eng. 38, 415–421 (1999).

[CrossRef]

Y. Wu, Z. Zhang, L. Liu, Z. Wang, “Arithmetic operation using binary encoding modified-signed-digit system,” Opt. Comm. 100, 53–58 (1993).

[CrossRef]

S. Mukhopadhyay, A. Basuray, A. K. Datta, “New technique of arithmetic operation using positional residue system,” App. Opt. 29, 2981–2893 (1990).

[CrossRef]

A. K. Datta, M. Seth, “Multi-input optical parallel logic processing with the shadow-casting technique,” App. Opt. 33, 8146–8152 (1994).

[CrossRef]

S. Cartwright, “New optical matrix-vector multiplier,” Appl. Opt. 23, 1683–1684 (1984).

[CrossRef]
[PubMed]

C. Perlee, D. Casasent, “Negative base encoding in optical linear algebra processors,” Appl. Opt. 25, 168–169 (1986).

[CrossRef]
[PubMed]

G. Li, L. Liu, Y. Yin, J. Hua, “Parallel optical negabinary arithmetic based on logic operations,” Appl. Opt. 36, 1011–1016 (1997).

[CrossRef]
[PubMed]

E. Swartzlander, “Digital optical arithmetic,” Appl. Opt. 25, 3021–3032 (1986).

[CrossRef]
[PubMed]

G. Eichmann, A. Kostrzewski, D. H. Kim, Y. Li, “Optical higher-order symbolic recognition,” Appl. Opt. 29, 2135–2147 (1990).

[CrossRef]
[PubMed]

R. P. Bocker, B. L. Drake, M. E. Lasher, T. B. Henderson, “Modified signed-digit addition and subtraction using optical symbolic substitution,” Appl. Opt. 25, 2456–2457 (1986).

[CrossRef]
[PubMed]

Y. Li, G. Eichmann, “Conditional symbolic modified signed-digit arithmetic using optical content-addressable memory logic elements,” Appl. Opt. 26, 2328–2333 (1987).

[CrossRef]
[PubMed]

H. Huang, M. Itoh, T. Yatagai, “Modified signed-digit arithmetic based on redundant bit representation,” Appl. Opt. 33, 6146–6156 (1994).

[CrossRef]
[PubMed]

S. Zhou, S. Campbell, P. Yeh, H. K. Liu, “Two-stage modified signed-digit optical computing by spatial data encoding and polarization multiplexing,” Appl. Opt. 34, 793–802 (1995).

[CrossRef]
[PubMed]

M. S. Alam, M. A. Karim, A. A. S. Awwal, J. J. Westerkamp, “Optical processing based on conditional higher-order trinary modified signed-digit symbolic substitution,” Appl. Opt. 31, 5614–5621 (1992).

[CrossRef]
[PubMed]

M. S. Alam, “Parallel optical computing using recoded trinary signed-digit numbers,” Appl. Opt. 33, 4392–4397 (1994).

[CrossRef]
[PubMed]

A. Huang, Y. Tsunoda, J. W. Goodman, S. Ishihara, “Optical computation using residue arithmetic,” Appl. Opt. 18, 149–162 (1979).

[CrossRef]
[PubMed]

J. Tanida, M. Iwata, Y. Ichioka, “Extended coding for optical array logic,” Appl. Opt. 33, 3363–3369 (1994).

[CrossRef]

S. Bandyopadhyay, A. K. Datta, S. S. Bawa, A. M. Biradar, S. Chandra, “Realization of digital optical matrix-vector multiplication,” J. Phys. D 28, 7–11 (1995).

[CrossRef]

G. Li, L. Liu, “Complex-valued matrix-vector multiplication using twos complement representation,” Opt. Comm. 105, 161–166 (1994).

[CrossRef]

G. Li, L. Liu, “Negabinary encoding for optical complex matrix operation,” Opt. Comm. 113, 15–19 (1994).

[CrossRef]

Y. Wu, Z. Zhang, L. Liu, Z. Wang, “Arithmetic operation using binary encoding modified-signed-digit system,” Opt. Comm. 100, 53–58 (1993).

[CrossRef]

A. K. Datta, M. Seth, “Parallel arithmetic operations in an optical architecture using a modified iterative technique,” Opt. Comm. 115, 245–250 (1995).

[CrossRef]

A. S. P. Kozaitis, “Higher-ordered rules for symbolic substitution,” Opt. Comm. 65, 339–342 (1988).

[CrossRef]

M. S. Alam, K. Jemili, M. A. Karim, “Optical higher-order quaternary signed-digit arithmetic,” Opt. Eng. 33, 3419–3426 (1994).

[CrossRef]

S. Zhang, M. A. Karim, “Programmable modified-signed-digit addition module based on binary logic gates,” Opt. Eng. 38, 456–461 (1999).

[CrossRef]

P. S. Guilfoyle, “Systolic acousto-optic binary convolver,” Opt. Eng. 23, 20–25 (1984).

[CrossRef]

S. Cartwright, S. C. Gustafson, “Convolver based optical systolic processing architecture,” Opt. Eng. 24, 59–62 (1985).

[CrossRef]

G. Li, F. Qian, H. Ruan, L. Liu, “Parallel optical negabinary signed-digit computing: algorithm and optical implementation,” Opt. Eng. 38, 403–414 (1999).

[CrossRef]

S. Zhang, M. A. Karim, “Optical arithmetic processing using improved redundant binary algorithms,” Opt. Eng. 38, 415–421 (1999).

[CrossRef]

A. K. Cherri, “Signed-digit arithmetic for optical computing: digit grouping and pixel assignment for spatial encoding,” Opt. Eng. 38, 422–431 (1999).

[CrossRef]

M. S. Alam, “Parallel optoelectronic trinary signed-digit division,” Opt. Eng. 38, 441–448 (1999).

[CrossRef]

H. Huang, M. Itoh, T. Yatagai, “Optical scalable parallel modified signed-digit algorithms for large-scale array addition and multiplication using digit-decomposition-plane representation,” Opt. Eng. 38, 432–440 (1999).

[CrossRef]

K. W. Wong, L. M. Cheng, “Optical modified signed-digit addition based on binary logical operations,” Opt. Laser Technol. 26, 213–217 (1994).

[CrossRef]

A. Kostrzewski, D. H. Kim, Y. Li, G. Eichmann, “Fast hybrid parallel carry-ahead adder,” Opt. Lett. 15, 915–917 (1990).

[CrossRef]
[PubMed]

A. K. Datta, A. Basuray, S. Mukhopadhyay, “Arithmetic operations in optical computations using a modified trinary number system,” Opt. Lett. 14, 426–428 (1989).

[CrossRef]
[PubMed]

M. L. Heinrich, R. A. Athale, M. W. Huang, “Numerical optical computing in the residue number system with outer-product look-up tables,” Opt. Lett. 14, 847–849 (1989).

[CrossRef]
[PubMed]

G. Li, L. Liu, L. Shao, Z. Wang, “Negative binary arithmetic algorithms for digital parallel optical computation,” Opt. Lett. 19, 1337–1339 (1994).

[CrossRef]
[PubMed]

L. Liu, G. Li, Y. Yin, “Optical complex matrix-vector multiplication with negative binary inner products,” Opt. Lett. 19, 1759–1761 (1994).

[CrossRef]
[PubMed]

G. Li, L. Liu, H. Cheng, X. Yan, “Parallel optical quaternary signed-digit multiplication and its use for matrix-vector operation,” Optik (Stuttgart) 107, 165–172 (1998).

K. Hwang, Computer Arithmetic: Principles, Architecture and Design (Wiley, New York, 1979).

D. Psaltis, D. Casasent, D. Neft, M. Carlotto, “Accurate numerical computation by optical convolution,” in Optical Computing II, W. T. Rhodes, ed., Proc. SPIE232, 151–156 (1980).