Design and Analysis of 2-D Codes With the Maximum Cross-Correlation Value of Two for Optical CDMA

In this paper, a new family of two-dimensional (2-D) optical codes with the maximum cross-correlation value of two is constructed and analyzed for optical code-division multiple access. Our 2-D codes employ wavelength hopping, controlled by the permutations of ¿synchronized¿ prime sequences, onto the pulses of a time-spreading optical orthogonal code (OOC). The new construction supports larger code cardinality (for more subscribers) and heavier code weight (for better code performance) without increasing the code length or number of wavelengths. Under certain conditions, our analysis shows that the new codes can perform better than our multiple-wavelength OOCs, which have cross-correlation values of at most one.

[1]  Jawad A. Salehi,et al.  Code-division multiple-access techniques in optical fiber networks - part III: optical AND logic gate receiver structure with generalized optical orthogonal codes , 2006, IEEE Transactions on Communications.

[2]  Guu-Chang Yang,et al.  Synchronous Walsh-Based Bipolar–Bipolar Code for CDMA Passive Optical Networks , 2007, Journal of Lightwave Technology.

[3]  Hossam M. H. Shalaby,et al.  Chip-level detection in optical code division multiple access , 1998 .

[4]  Wing C. Kwong,et al.  Prime Codes with Applications to CDMA Optical and Wireless Networks , 2002 .

[5]  Ying Li,et al.  Optical CDMA via temporal codes , 1992, IEEE Trans. Commun..

[6]  I. Andonovic,et al.  Hybrid wavelength hopping/time spreading schemes for use in massive optical networks with increased security , 1996 .

[7]  J. Salehi,et al.  Analytical comparison of various fiber-optic CDMA receiver structures , 2000, Journal of Lightwave Technology.

[8]  Guu-chang Yang,et al.  Performance comparison of multiwavelength CDMA and WDMA+CDMA for fiber-optic networks , 1997, IEEE Trans. Commun..

[9]  Guu-chang Yang,et al.  Performance Analysis of 2-D Optical Codes with Arbitrary Cross-Correlation Values under the Chip-Asynchronous Assumption , 2007, IEEE Communications Letters.

[10]  Guu-chang Yang,et al.  Two-dimensional spatial signature patterns , 1996, IEEE Trans. Commun..

[11]  Guu-chang Yang,et al.  Shifted carrier-hopping prime codes for multicode keying in wavelength-time O-CDMA , 2005, IEEE Transactions on Communications.

[12]  Guu-chang Yang,et al.  Performance analysis of 2-D O-CDMA codes without the chip-synchronous assumption , 2007, IEEE Journal on Selected Areas in Communications.

[13]  Tao Pu,et al.  Research of algebra congruent codes used in two-dimensional OCDMA system , 2003 .

[14]  Cheng-Yuan Chang,et al.  Wavelength-time codes with maximum cross-correlation function of two for multicode-keying optical CDMA , 2006, Journal of Lightwave Technology.

[15]  Jun-Jie Chen,et al.  CDMA fiber-optic systems with optical hard limiters , 2001 .

[16]  Cheng-Yuan Chang,et al.  Performance Analysis of Variable-Weight Multilength Optical Codes for Wavelength-Time O-CDMA Multimedia Systems , 2007, IEEE Trans. Commun..

[17]  Guu-chang Yang,et al.  Multiple-wavelength optical orthogonal codes under prime-sequence permutations for optical CDMA , 2005, IEEE Transactions on Communications.

[18]  J. Bajcsy,et al.  Design and performance of 2-D codes for wavelength-time optical CDMA , 2002, IEEE Photonics Technology Letters.

[19]  Guu-chang Yang,et al.  Optical orthogonal codes with unequal auto- and cross-correlation constraints , 1995, IEEE Trans. Inf. Theory.

[20]  Guu-chang Yang,et al.  Hard-Limiting Performance Analysis of 2-D Optical Codes Under the Chip-Asynchronous Assumption , 2008, IEEE Transactions on Communications.

[21]  Seung-Woo Seo,et al.  New construction of multiwavelength optical orthogonal codes , 2002, IEEE Trans. Commun..