Abstract

In this paper the capacity of asynchronous incoherent optical CDMA (OCDMA) systems employing wrapped overlapping pulse position modulation (WOPPM) for two types of receiver structures is analyzed. The analysis is performed in the presence of multiple access interference as the main limiting factor. Throughput analysis for uncoded systems utilizing WOPPM is conducted and a lower bound on the capacity for two types of correlator based receiver structures is derived. Furthermore, for a fixed code and a fixed maximum number of symbols, a numerical solution for maximizing the capacity is presented. Moreover, to minimize the probability of error when the throughput and the number of users are fixed, a numerical solution is introduced. Finally, for two common design problems, algorithms are proposed for achieving the system parameters well close to the optimal settings. The results of our different analyses for uncoded systems using WOPPM have been compared with unwrapped OPPM. Our results have also been compared with on-off keying (OOK) and pulse position modulation (PPM). The results of this work show that, for a fixed throughput, the performance of WOPPM is significantly superior to OOK and PPM.

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  1. J. A. Salehi, "Code-division multiple access techniques in optical fiber networks-Part I: Fundamental principles," IEEE Trans. Commun. 37, 824-833 (1989).
  2. J. A. Salehi, C. A. Brackett, "Code-division multiple access techniques in optical fiber networks-Part II: System performance analysis," IEEE Trans. Commun. 37, 834-842 (1989).
  3. J. A. Salehi, "Emerging OCDMA communication systems and data networks [invited]," IEEE Trans. Netw. 6, 1138-1178 (2007).
  4. P. R. Prucnal, Optical Code Division Multiple Access: Fundamentals and Applications (Taylor and Francis, 2006).
  5. A. Stock, E. H. Sargent, "The role of optical CDMA in access networks," IEEE Commun. Mag. 83-87 (2002).
  6. T. Ohtsuki, "Channel interference cancellation using electrooptic switch and optical hardlimiters for direct-detection optical CDMA systems," IEEE J. Lightw. Technol. 16, 520-526 (1998).
  7. M. H. M. Shalaby, "Chip-level detection in optical code division multiple access," IEEE J. Lightw. Technol. 16, 1077-1087 (1998).
  8. S. Mashhadi, J. A. Salehi, "Code-division multiple-access techniques in optical fiber networks-Part III: Optical AND gate receiver structure using generalized optical orthogonal codes," IEEE Trans. Commun. 54, 1457-1468 (2006).
  9. B. M. Ghaffari, J. A. Salehi, "Multiclass, multistage, and multilevel fiber-optic CDMA signaling techniques based on advanced binary optical logic gate elements," IEEE Trans. Commun. 57, 1424-1432 (2009).
  10. H. Beyranvand, B. M. Ghaffari, J. A. Salehi, "Multirate, differentiated-QoS, and multilevel fiber-optic CDMA system via optical logic gate elements," IEEE J. Lightw. Technol. 27, 4348-4359 (2009).
  11. H. M. Kwon, "Optical orthogonal code-division multiple-access system-Part I: APD noise and thermal noise," IEEE Trans. Commun. 42, 2470-2479 (1994).
  12. W. Huang, M. H. M. Nizam, I. Andonovic, M. Tur, "Coherent optical CDMA (OCDMA) systems used for high capacity optical fiber networks-system description, OTDMA comparison and OCDMA/WDMA networking," IEEE J. Lightw. Technol. 18, 765-778 (2000).
  13. I. Andonovic, L. Tancevski, "Incoherent optical code division multiple access systems," Proc. IEEE 4th Int. Symp. Spread Spectrum Techniques and Applications (1996) pp. 424-430.
  14. M. H. M. Shalaby, "Maximum achievable throughputs for uncoded OPPM and MPPM in optical direct-detection channels," IEEE J. Lightw. Technol. 13, 2121-2128 (1995).
  15. T. Ohtsuki, I. Sasase, S. Mori, "Capacity and cutoff rate of overlapping multi-pulse pulse position modulation (OMPPM) in optical direct-detection channel: Quantum-limited case," IEICE Trans. Fundam. E77-A, 1298-1308 (1994).
  16. T. Ohtsuki, H. Yashima, I. Sasase, S. Mori, "Cutoff rate and capacity of MPPM in noiseless photon counting channel," IEICE Trans. Commun E 74, 4080-4084 (1991).
  17. H. Sugiyama, K. Nosu, "MPPM: A method for improving the band-utilization efficiency in optical PPM," IEEE J. Lightw. Technol. 7, 465-472 (1989).
  18. M. H. M. Shalaby, "A performance analysis of optical overlapping PPM-CDMA communication systems," IEEE J. Lightw. Technol. 17, 426-433 (1999).
  19. M. H. M. Shalaby, "Direct detection optical overlapping PPM-CDMA communication systems with double optical hardlimiters," IEEE J. Lightw. Technol. 17, 1158-1165 (1999).
  20. I. Bar-David, G. Kaplan, "Information rates of photon-limited overlapping pulse position modulation channels," IEEE Trans. Inf. Theory IT-30, 455-464 (1984).
  21. M. Azizoglu, J. A. Salehi, Y. Li, "Optical CDMA via temporal codes," IEEE Trans. Commun. 40, 1162-1170 (1992).
  22. S. Zahedi, J. A. Salehi, "Analytical comparison of various fiber-optic CDMA receiver structures," IEEE J. Lightw. Technol. 18, 1718-1727 (2000).
  23. M. H. M. Shalaby, "Complexities, error probabilities, and capacities of optical OOK-CDMA communication systems," IEEE Trans. Commun. 50, 2009-2017 (2002).
  24. T. M. Cover, J. A. Thomas, Elements of Information Theory (Wiley, 2006).

2009 (2)

B. M. Ghaffari, J. A. Salehi, "Multiclass, multistage, and multilevel fiber-optic CDMA signaling techniques based on advanced binary optical logic gate elements," IEEE Trans. Commun. 57, 1424-1432 (2009).

H. Beyranvand, B. M. Ghaffari, J. A. Salehi, "Multirate, differentiated-QoS, and multilevel fiber-optic CDMA system via optical logic gate elements," IEEE J. Lightw. Technol. 27, 4348-4359 (2009).

2007 (1)

J. A. Salehi, "Emerging OCDMA communication systems and data networks [invited]," IEEE Trans. Netw. 6, 1138-1178 (2007).

2006 (1)

S. Mashhadi, J. A. Salehi, "Code-division multiple-access techniques in optical fiber networks-Part III: Optical AND gate receiver structure using generalized optical orthogonal codes," IEEE Trans. Commun. 54, 1457-1468 (2006).

2002 (2)

A. Stock, E. H. Sargent, "The role of optical CDMA in access networks," IEEE Commun. Mag. 83-87 (2002).

M. H. M. Shalaby, "Complexities, error probabilities, and capacities of optical OOK-CDMA communication systems," IEEE Trans. Commun. 50, 2009-2017 (2002).

2000 (2)

S. Zahedi, J. A. Salehi, "Analytical comparison of various fiber-optic CDMA receiver structures," IEEE J. Lightw. Technol. 18, 1718-1727 (2000).

W. Huang, M. H. M. Nizam, I. Andonovic, M. Tur, "Coherent optical CDMA (OCDMA) systems used for high capacity optical fiber networks-system description, OTDMA comparison and OCDMA/WDMA networking," IEEE J. Lightw. Technol. 18, 765-778 (2000).

1999 (2)

M. H. M. Shalaby, "A performance analysis of optical overlapping PPM-CDMA communication systems," IEEE J. Lightw. Technol. 17, 426-433 (1999).

M. H. M. Shalaby, "Direct detection optical overlapping PPM-CDMA communication systems with double optical hardlimiters," IEEE J. Lightw. Technol. 17, 1158-1165 (1999).

1998 (2)

T. Ohtsuki, "Channel interference cancellation using electrooptic switch and optical hardlimiters for direct-detection optical CDMA systems," IEEE J. Lightw. Technol. 16, 520-526 (1998).

M. H. M. Shalaby, "Chip-level detection in optical code division multiple access," IEEE J. Lightw. Technol. 16, 1077-1087 (1998).

1995 (1)

M. H. M. Shalaby, "Maximum achievable throughputs for uncoded OPPM and MPPM in optical direct-detection channels," IEEE J. Lightw. Technol. 13, 2121-2128 (1995).

1994 (2)

T. Ohtsuki, I. Sasase, S. Mori, "Capacity and cutoff rate of overlapping multi-pulse pulse position modulation (OMPPM) in optical direct-detection channel: Quantum-limited case," IEICE Trans. Fundam. E77-A, 1298-1308 (1994).

H. M. Kwon, "Optical orthogonal code-division multiple-access system-Part I: APD noise and thermal noise," IEEE Trans. Commun. 42, 2470-2479 (1994).

1992 (1)

M. Azizoglu, J. A. Salehi, Y. Li, "Optical CDMA via temporal codes," IEEE Trans. Commun. 40, 1162-1170 (1992).

1991 (1)

T. Ohtsuki, H. Yashima, I. Sasase, S. Mori, "Cutoff rate and capacity of MPPM in noiseless photon counting channel," IEICE Trans. Commun E 74, 4080-4084 (1991).

1989 (3)

H. Sugiyama, K. Nosu, "MPPM: A method for improving the band-utilization efficiency in optical PPM," IEEE J. Lightw. Technol. 7, 465-472 (1989).

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

J. A. Salehi, C. A. Brackett, "Code-division multiple access techniques in optical fiber networks-Part II: System performance analysis," IEEE Trans. Commun. 37, 834-842 (1989).

1984 (1)

I. Bar-David, G. Kaplan, "Information rates of photon-limited overlapping pulse position modulation channels," IEEE Trans. Inf. Theory IT-30, 455-464 (1984).

IEEE J. Lightw. Technol. (2)

M. H. M. Shalaby, "A performance analysis of optical overlapping PPM-CDMA communication systems," IEEE J. Lightw. Technol. 17, 426-433 (1999).

S. Zahedi, J. A. Salehi, "Analytical comparison of various fiber-optic CDMA receiver structures," IEEE J. Lightw. Technol. 18, 1718-1727 (2000).

IEEE Trans. Commun. (1)

S. Mashhadi, J. A. Salehi, "Code-division multiple-access techniques in optical fiber networks-Part III: Optical AND gate receiver structure using generalized optical orthogonal codes," IEEE Trans. Commun. 54, 1457-1468 (2006).

IEEE Trans. Inf. Theory (1)

I. Bar-David, G. Kaplan, "Information rates of photon-limited overlapping pulse position modulation channels," IEEE Trans. Inf. Theory IT-30, 455-464 (1984).

IEEE Commun. Mag. (1)

A. Stock, E. H. Sargent, "The role of optical CDMA in access networks," IEEE Commun. Mag. 83-87 (2002).

IEEE J. Lightw. Technol. (3)

W. Huang, M. H. M. Nizam, I. Andonovic, M. Tur, "Coherent optical CDMA (OCDMA) systems used for high capacity optical fiber networks-system description, OTDMA comparison and OCDMA/WDMA networking," IEEE J. Lightw. Technol. 18, 765-778 (2000).

M. H. M. Shalaby, "Chip-level detection in optical code division multiple access," IEEE J. Lightw. Technol. 16, 1077-1087 (1998).

H. Sugiyama, K. Nosu, "MPPM: A method for improving the band-utilization efficiency in optical PPM," IEEE J. Lightw. Technol. 7, 465-472 (1989).

IEEE J. Lightw. Technol. (4)

M. H. M. Shalaby, "Maximum achievable throughputs for uncoded OPPM and MPPM in optical direct-detection channels," IEEE J. Lightw. Technol. 13, 2121-2128 (1995).

H. Beyranvand, B. M. Ghaffari, J. A. Salehi, "Multirate, differentiated-QoS, and multilevel fiber-optic CDMA system via optical logic gate elements," IEEE J. Lightw. Technol. 27, 4348-4359 (2009).

T. Ohtsuki, "Channel interference cancellation using electrooptic switch and optical hardlimiters for direct-detection optical CDMA systems," IEEE J. Lightw. Technol. 16, 520-526 (1998).

M. H. M. Shalaby, "Direct detection optical overlapping PPM-CDMA communication systems with double optical hardlimiters," IEEE J. Lightw. Technol. 17, 1158-1165 (1999).

IEEE Trans. Netw. (1)

J. A. Salehi, "Emerging OCDMA communication systems and data networks [invited]," IEEE Trans. Netw. 6, 1138-1178 (2007).

IEEE Trans. Commun. (6)

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

J. A. Salehi, C. A. Brackett, "Code-division multiple access techniques in optical fiber networks-Part II: System performance analysis," IEEE Trans. Commun. 37, 834-842 (1989).

B. M. Ghaffari, J. A. Salehi, "Multiclass, multistage, and multilevel fiber-optic CDMA signaling techniques based on advanced binary optical logic gate elements," IEEE Trans. Commun. 57, 1424-1432 (2009).

H. M. Kwon, "Optical orthogonal code-division multiple-access system-Part I: APD noise and thermal noise," IEEE Trans. Commun. 42, 2470-2479 (1994).

M. Azizoglu, J. A. Salehi, Y. Li, "Optical CDMA via temporal codes," IEEE Trans. Commun. 40, 1162-1170 (1992).

M. H. M. Shalaby, "Complexities, error probabilities, and capacities of optical OOK-CDMA communication systems," IEEE Trans. Commun. 50, 2009-2017 (2002).

IEICE Trans. Fundam. (1)

T. Ohtsuki, I. Sasase, S. Mori, "Capacity and cutoff rate of overlapping multi-pulse pulse position modulation (OMPPM) in optical direct-detection channel: Quantum-limited case," IEICE Trans. Fundam. E77-A, 1298-1308 (1994).

IEICE Trans. Commun (1)

T. Ohtsuki, H. Yashima, I. Sasase, S. Mori, "Cutoff rate and capacity of MPPM in noiseless photon counting channel," IEICE Trans. Commun E 74, 4080-4084 (1991).

Other (3)

I. Andonovic, L. Tancevski, "Incoherent optical code division multiple access systems," Proc. IEEE 4th Int. Symp. Spread Spectrum Techniques and Applications (1996) pp. 424-430.

P. R. Prucnal, Optical Code Division Multiple Access: Fundamentals and Applications (Taylor and Francis, 2006).

T. M. Cover, J. A. Thomas, Elements of Information Theory (Wiley, 2006).

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