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Journal of Optical Communications and Networking

Journal of Optical Communications and Networking

  • Editors: K. Bergman and V. Chan
  • Vol. 1, Iss. 7 — Dec. 1, 2009
  • pp: 600–607

Multilevel Prime Codes for Optical CDMA Systems

Chieh-Hung Hsieh, Guu-Chang Yang, Cheng-Yuan Chang, and Wing C. Kwong  »View Author Affiliations


Journal of Optical Communications and Networking, Vol. 1, Issue 7, pp. 600-607 (2009)
http://dx.doi.org/10.1364/JOCN.1.000600


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Abstract

In this paper, we study a new class of two-dimensional codes, here called multilevel prime codes, with expanded code cardinality by relaxing the maximum cross-correlation function to any arbitrary positive integer. Besides having asymptotically optimal cardinality and zero autocorrelation sidelobes, these multilevel prime codes can be partitioned into a tree structure of multiple levels of subsets of code matrices. In each level, the number of subsets, the number of code matrices per subset, and the cross-correlation function of each subset are related to the level number. The performance of the new codes in an optical code-division multiple-access system with hard-limiting detection is analyzed. Our results show that the unique partition property of the multilevel prime codes supports a trade-off between code cardinality and performance for meeting different system requirements, such as user capacity and throughput.

© 2009 Optical Society of America

OCIS Codes
(060.4080) Fiber optics and optical communications : Modulation
(060.4230) Fiber optics and optical communications : Multiplexing
(060.4510) Fiber optics and optical communications : Optical communications

ToC Category:
Research Papers

History
Original Manuscript: November 18, 2008
Revised Manuscript: August 22, 2009
Manuscript Accepted: October 20, 2009
Published: November 17, 2009

Citation
Chieh-Hung Hsieh, Guu-Chang Yang, Cheng-Yuan Chang, and Wing C. Kwong, "Multilevel Prime Codes for Optical CDMA Systems," J. Opt. Commun. Netw. 1, 600-607 (2009)
http://www.opticsinfobase.org/jocn/abstract.cfm?URI=jocn-1-7-600

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