Abstract

A newly constructed code family named two-dimensional diluted perfect difference codes (2-D DPD codes) and a corresponding architecture for the optical code division multiple access (OCDMA) system are proposed in this paper. The 2-D DPD codes are derived based on the perfect difference set and the dilution method for the spectral and spatial coding application. The 2-D DPD codes have the multiuser interference (MUI) cancellation and the phase-induced intensity noise (PIIN) suppression properties. In comparison with the other 2-D codes, such as the modified quadratic congruence codes (MQC codes), the maximal-area matrices codes (M-matrices codes), or the 2-D perfect difference codes (2-D PD codes), the analytical calculation and the simulation results show that the systems with the 2-D DPD codes have better performance. The proposed system can accommodate much more total number of simultaneous users at the same bit error rate.

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  1. P. R. Prucnal, M. A. Santoro, T. R. Fan, "Spread spectrum fiber optic local area network using optical processing," J. Lightw. Technol. LT-4, 547-554 (1986).
  2. W. C. Kwong, P. A. Perrier, P. R. Prucnal, "Performance comparison of asynchronous and synchronous code-division multiple-access techniques for fiber-optic local area networks," IEEE Trans. Commun. 39, 1625-1634 (1991).
  3. C.-S. Weng, J. Wu, "Perfect difference codes for synchronous fiberoptic CDMA communication systems," J. Lightw. Technol. 19, 186-194 (2001).
  4. J. A. Salehi, "Code division multiple-access techniques in optical fiber networks—Part I: Fundamental principles," IEEE Trans. Commun. 37, 824-833 (1989).
  5. F. R. K. Chung, J. A. Salehi, V. K. Wei, "Optical orthogonal codes: design, analysis, and applications," IEEE Trans. Inf. Theory 35, 595-604 (1989).
  6. H. Fathallah, L. A. Rusch, S. LaRochelle, "Passive optical fast frequency-hop CDMA communications system," J. Lightw. Technol. 17, 397-405 (1999).
  7. E. Inaty, H. M. H. Shalaby, P. Fortier, "On the cutoff rates of a multiclass OFFH-CDMA system," IEEE Trans. Commun. 53, 323-334 (2005).
  8. M. Kavehrad, D. Zaccarin, "Optical code-division-multiplexed systems based on spectral encoding of noncoherent sources," J. Lightw. Technol. 13, 534-545 (1995).
  9. E. D. J. Smith, R. J. Blaikie, D. P. Taylor, "Performance enhancement of spectral amplitude-coding optical CDMA using pulse-position modulation," IEEE Trans. Commun. 46, 1176-1185 (1998).
  10. X. Zhou, H. H. M. Shalaby, C. Lu, T. Cheng, "Code for spectral amplitude coding optical CDMA systems," Electron. Lett. 36, 728-729 (2000).
  11. Z. Wei, H. M. H. Shalaby, H. Ghafouri-Shiraz, "Modified quadratic congruence codes for fiber Bragg-grating-based spectral-amplitude coding optical CDMA systems," J. Lightw. Technol. 19, 1274-1281 (2001).
  12. C.-C. Yang, J.-F. Huang, "Two-dimensional M-matrices coding in spatial/frequency optical CDMA networks," IEEE Photon. Technol. Lett. 15, 168-170 (2003).
  13. J.-F. Huang, Y.-T. Chang, "Incoherent hybrid spectral polarization and amplitude coding implemented with specified orthogonal ternary code over balanced photo-detectors," Proc. 4th Annu. Commun. Netw. Serv. Res. Conf. (CNSR 2006). (2006) pp. 8.
  14. C.-H. Lin, J. Wu, C.-L. Yang, "Noncoherent spatial/spectral optical CDMA system with two-dimensional perfect difference codes," J. Lightw. Technol. 23, 3966-3980 (2005).
  15. J. Singer, "A theorem in finite projective geometry and some applications to number theory," Trans. Amer. Math. Soc. 43, 377-385 (1938).
  16. E. D. J. Smith, R. J. Blaikie, D. P. Taylor, "Performance enhancement of spectral amplitude-coding optical CDMA using pulse-position modulation," IEEE Trans. Commun. 46, 1176-1185 (1998).
  17. J. W. Goodman, Statistical Optics (Wiley, 1985).
  18. A. Meijerink, G. H. L. M. Heideman, W. C. van Etten, "A generalization of a coherence multiplexing system," Proc. Symp. Commun. Veh. Technol., SCVT-200 (2000) pp. 6-13.
  19. C.-H. Lin, J. Wu, H.-W. Tsao, C.-L. Yang, "Spectral amplitude-coding optical CDMA system using Mach-Zehnder interferometers," J. Lightw. Technol. 23, 1543-1555 (2005).
  20. M. M.-K. Liu, Principles and Applications of Optical Communications (Irwin Professional Publishing, 1996) pp. 57.

2005

E. Inaty, H. M. H. Shalaby, P. Fortier, "On the cutoff rates of a multiclass OFFH-CDMA system," IEEE Trans. Commun. 53, 323-334 (2005).

C.-H. Lin, J. Wu, C.-L. Yang, "Noncoherent spatial/spectral optical CDMA system with two-dimensional perfect difference codes," J. Lightw. Technol. 23, 3966-3980 (2005).

C.-H. Lin, J. Wu, H.-W. Tsao, C.-L. Yang, "Spectral amplitude-coding optical CDMA system using Mach-Zehnder interferometers," J. Lightw. Technol. 23, 1543-1555 (2005).

2003

C.-C. Yang, J.-F. Huang, "Two-dimensional M-matrices coding in spatial/frequency optical CDMA networks," IEEE Photon. Technol. Lett. 15, 168-170 (2003).

2001

Z. Wei, H. M. H. Shalaby, H. Ghafouri-Shiraz, "Modified quadratic congruence codes for fiber Bragg-grating-based spectral-amplitude coding optical CDMA systems," J. Lightw. Technol. 19, 1274-1281 (2001).

C.-S. Weng, J. Wu, "Perfect difference codes for synchronous fiberoptic CDMA communication systems," J. Lightw. Technol. 19, 186-194 (2001).

2000

X. Zhou, H. H. M. Shalaby, C. Lu, T. Cheng, "Code for spectral amplitude coding optical CDMA systems," Electron. Lett. 36, 728-729 (2000).

1999

H. Fathallah, L. A. Rusch, S. LaRochelle, "Passive optical fast frequency-hop CDMA communications system," J. Lightw. Technol. 17, 397-405 (1999).

1998

E. D. J. Smith, R. J. Blaikie, D. P. Taylor, "Performance enhancement of spectral amplitude-coding optical CDMA using pulse-position modulation," IEEE Trans. Commun. 46, 1176-1185 (1998).

E. D. J. Smith, R. J. Blaikie, D. P. Taylor, "Performance enhancement of spectral amplitude-coding optical CDMA using pulse-position modulation," IEEE Trans. Commun. 46, 1176-1185 (1998).

1995

M. Kavehrad, D. Zaccarin, "Optical code-division-multiplexed systems based on spectral encoding of noncoherent sources," J. Lightw. Technol. 13, 534-545 (1995).

1991

W. C. Kwong, P. A. Perrier, P. R. Prucnal, "Performance comparison of asynchronous and synchronous code-division multiple-access techniques for fiber-optic local area networks," IEEE Trans. Commun. 39, 1625-1634 (1991).

1989

J. A. Salehi, "Code division multiple-access techniques in optical fiber networks—Part I: Fundamental principles," IEEE Trans. Commun. 37, 824-833 (1989).

F. R. K. Chung, J. A. Salehi, V. K. Wei, "Optical orthogonal codes: design, analysis, and applications," IEEE Trans. Inf. Theory 35, 595-604 (1989).

1986

P. R. Prucnal, M. A. Santoro, T. R. Fan, "Spread spectrum fiber optic local area network using optical processing," J. Lightw. Technol. LT-4, 547-554 (1986).

1938

J. Singer, "A theorem in finite projective geometry and some applications to number theory," Trans. Amer. Math. Soc. 43, 377-385 (1938).

Electron. Lett.

X. Zhou, H. H. M. Shalaby, C. Lu, T. Cheng, "Code for spectral amplitude coding optical CDMA systems," Electron. Lett. 36, 728-729 (2000).

IEEE Photon. Technol. Lett.

C.-C. Yang, J.-F. Huang, "Two-dimensional M-matrices coding in spatial/frequency optical CDMA networks," IEEE Photon. Technol. Lett. 15, 168-170 (2003).

IEEE Trans. Commun.

E. D. J. Smith, R. J. Blaikie, D. P. Taylor, "Performance enhancement of spectral amplitude-coding optical CDMA using pulse-position modulation," IEEE Trans. Commun. 46, 1176-1185 (1998).

W. C. Kwong, P. A. Perrier, P. R. Prucnal, "Performance comparison of asynchronous and synchronous code-division multiple-access techniques for fiber-optic local area networks," IEEE Trans. Commun. 39, 1625-1634 (1991).

J. A. Salehi, "Code division multiple-access techniques in optical fiber networks—Part I: Fundamental principles," IEEE Trans. Commun. 37, 824-833 (1989).

E. Inaty, H. M. H. Shalaby, P. Fortier, "On the cutoff rates of a multiclass OFFH-CDMA system," IEEE Trans. Commun. 53, 323-334 (2005).

E. D. J. Smith, R. J. Blaikie, D. P. Taylor, "Performance enhancement of spectral amplitude-coding optical CDMA using pulse-position modulation," IEEE Trans. Commun. 46, 1176-1185 (1998).

IEEE Trans. Inf. Theory

F. R. K. Chung, J. A. Salehi, V. K. Wei, "Optical orthogonal codes: design, analysis, and applications," IEEE Trans. Inf. Theory 35, 595-604 (1989).

J. Lightw. Technol.

P. R. Prucnal, M. A. Santoro, T. R. Fan, "Spread spectrum fiber optic local area network using optical processing," J. Lightw. Technol. LT-4, 547-554 (1986).

C.-H. Lin, J. Wu, C.-L. Yang, "Noncoherent spatial/spectral optical CDMA system with two-dimensional perfect difference codes," J. Lightw. Technol. 23, 3966-3980 (2005).

J. Lightw. Technol.

C.-S. Weng, J. Wu, "Perfect difference codes for synchronous fiberoptic CDMA communication systems," J. Lightw. Technol. 19, 186-194 (2001).

C.-H. Lin, J. Wu, H.-W. Tsao, C.-L. Yang, "Spectral amplitude-coding optical CDMA system using Mach-Zehnder interferometers," J. Lightw. Technol. 23, 1543-1555 (2005).

J. Lightw. Technol.

H. Fathallah, L. A. Rusch, S. LaRochelle, "Passive optical fast frequency-hop CDMA communications system," J. Lightw. Technol. 17, 397-405 (1999).

M. Kavehrad, D. Zaccarin, "Optical code-division-multiplexed systems based on spectral encoding of noncoherent sources," J. Lightw. Technol. 13, 534-545 (1995).

Z. Wei, H. M. H. Shalaby, H. Ghafouri-Shiraz, "Modified quadratic congruence codes for fiber Bragg-grating-based spectral-amplitude coding optical CDMA systems," J. Lightw. Technol. 19, 1274-1281 (2001).

Trans. Amer. Math. Soc.

J. Singer, "A theorem in finite projective geometry and some applications to number theory," Trans. Amer. Math. Soc. 43, 377-385 (1938).

Other

J. W. Goodman, Statistical Optics (Wiley, 1985).

A. Meijerink, G. H. L. M. Heideman, W. C. van Etten, "A generalization of a coherence multiplexing system," Proc. Symp. Commun. Veh. Technol., SCVT-200 (2000) pp. 6-13.

J.-F. Huang, Y.-T. Chang, "Incoherent hybrid spectral polarization and amplitude coding implemented with specified orthogonal ternary code over balanced photo-detectors," Proc. 4th Annu. Commun. Netw. Serv. Res. Conf. (CNSR 2006). (2006) pp. 8.

M. M.-K. Liu, Principles and Applications of Optical Communications (Irwin Professional Publishing, 1996) pp. 57.

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