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Applied Optics

Applied Optics


  • Vol. 22, Iss. 18 — Sep. 15, 1983
  • pp: 2817–2821

Optical systolic array processor using residue arithmetic

James Jackson and David Casasent  »View Author Affiliations

Applied Optics, Vol. 22, Issue 18, pp. 2817-2821 (1983)

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In this paper, we consider the use of residue arithmetic to increase the accuracy and reduce the dynamic range requirements of optical matrix–vector processors. We show that matrix–vector operations and iterative algorithms can be performed totally in residue notation. We suggest an architecture using a frequency-multiplexed optical systolic array feedback processor. As our case study, we consider the solution of three simultaneous equations.

© 1983 Optical Society of America

Original Manuscript: March 10, 1983
Published: September 15, 1983

James Jackson and David Casasent, "Optical systolic array processor using residue arithmetic," Appl. Opt. 22, 2817-2821 (1983)

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  1. H. Caulfield et al., Opt. Commun. 40, 86 (1981). [CrossRef]
  2. D. Casasent, Appl. Opt. 21, 1859 (1982). [CrossRef] [PubMed]
  3. D. Casasent, J. Jackson, C. Neuman, Appl. Opt. 22, 115 (1983). [CrossRef] [PubMed]
  4. N. Szabo, R. Tanaka, Residue Arithmetic and Its Applications to Computer Technology (McGraw-Hill, New York, 1967).
  5. A. Huang, T. Tsunoda, J. W. Goodman, Appl. Opt. 18, 149 (1979). [CrossRef] [PubMed]
  6. D. Psaltis, D. Casasent, Appl. Opt. 18, 163 (1979). [CrossRef] [PubMed]
  7. A. M. Tai et al., Appl. Opt. 18, 2812 (1979). [CrossRef] [PubMed]
  8. Proc. Soc. Photo-Opt. Instrum. Eng. 232, 109–173 (1980).
  9. W. K. Jenkins, IEEE Trans. Acoust. Speech Signal Process. ASSP-27, 19 (1979). [CrossRef]
  10. L. F. Richardson, Philos. Trans. R. Soc. London Ser. A 210, 307 (1910).
  11. L. A. Hageman, D. M. Young, Applied Iterative Methods (Academic, New York, 1981).
  12. A. Oppenheim, R. Schafer, Digital Signal Processing (Prentice-Hall, Englewood Cliffs, N.J. (Prentice-Hall, 1975).

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