Abstract

Several constructions of two-dimensional (2-D) codes have been proposed to overcome the drawbacks of nonlinear effects in large spread sequences of one-dimensional (1-D) unipolar codes in fiber-optic code-division multiple-access (FO-CDMA) networks. Wavelength-time (W/T) encoding of the 2-D codes is practical in FO-CDMA networks. W/T codes reported so far can be classified mainly into two types: 1) hybrid codes, where one type of sequence is crossed with another to improve the cardinality and correlation properties and 2) conversion of 1-D sequences to 2-D codes to reduce the"timelike"property. This paper describes the basic principles of a new family of wavelength/time multiple-pulses-per-row (W/T MPR) codes, for incoherent FO-CDMA networks,which have good cardinality, spectral efficiency, and minimal cross correlation values. In addition, an expression for the upper bound on the cardinality of W/T MPR codes is derived. Another feature of the W/T MPR codes is that the aspect ratio can be varied by a tradeoff between wavelength and temporal lengths. The correlation properties of W/T MPR codes are verified by simulation using Matlab. For given wavelength x time dimensions, various W/T codes, whose cardinalities are known, are compared,and it is shown that the W/T MPR family of codes have better cardinality and spectral efficiency than the other W/T codes. Performance analysis of the W/T MPR codes and their limiting cases is carried out for various parameter variations such as the dimensions of wavelength, time, and weight of the code.

© 2005 IEEE

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  14. G. C. Yang and W. C. K. Wong, "Two-dimensional spatial signature patterns", IEEE Trans. Commun., vol. 44, no. 2, pp. 184-191, Feb. 1996.
  15. R. M. H. Yim, L. R. Chen and J. Bajcsy, "Design and performance of 2D codes for wavelength-time optical CDMA", IEEE Photon. Technol. Lett., vol. 14, no. 5, pp. 714-716, May 2002.
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Other (17)

J. A. Salehi, "Code division multiple access techniques in optical fiber networks part I: Fundamental principles", IEEE Trans. Commun. , vol. 37, no. 8, pp. 824-833, Aug. 1989.

L. Bin, "One-coincidence sequences with specified distance between adjacent symbols of frequency-hopping multiple access", IEEE Trans. Commun., vol. 45, no. 4, pp. 408-410, Apr. 1997.

H. Fathallah, L. A. Rusch and S. LaRochelle, "Passive optical fast frequency-hop CDMA communications systems", J. Lightw. Technol., vol. 17, no. 3, pp. 397-405, Mar. 1999.

E. D. J. Smith, P. T. Gough and D. P. Taylor, "Noise limits of optical spectral-encoding CDMA systems", Electron. Lett., vol. 31, no. 17, pp. 1469-1470, Aug. 17, 1995.

E. D. J. Smith, R. J. Blaikie and D. P. Taylor, "Performance enhancement of spectral-amplitude-encoding optical CDMA using pulse-position modulation", IEEE Trans. Commun., vol. 46, no. 9, pp. 1176-1185, Sep. 1998.

P. K. Pepeljugoski, B. K. Whitlock, D. M. Kuchta, J. D. Crow and S.-M. King, "Modeling and simulation of the OETC optical bus", in Conf. Proc. IEEE/LEOS'95 Meeting, vol. 1, 1995, pp. 185-186.

B. K. Whitlock, P. K. Pepeljugoski, D. M. Kuchta, J. D. Crow and S.-M. KIng, "Computer modeling and simulation of the optoelectronic technology consortium (OETC) optical bus", IEEE J. Sel. Areas Commun., vol. 15, no. 4, pp. 717-730, May 1997.

L. Tancevski and I. Andonovic, "Wavelength hopping/time spreading code division multiple access systems", Electron. Lett., vol. 30, no. 17, pp. 1388-1390, Aug. 1994.

L. Tancevski and I. Andonovic, "Hybrid wavelength hopping/time spreading schemes for use in massive optical networks with increased security", J. Lightw. Technol., vol. 14, no. 12, pp. 2636-2647, Dec. 1996.

L. Tancevski, I. Andonovic, M. Tur and J. Budin, "Massive optical LAN's using wavelength hopping/time spreading with increased security", IEEE Photon. Technol. Lett., vol. 8, no. 7, pp. 935-937, Jul. 1996.

A. I. Mendez, R. M. Gagliardi, H. X. C. Feng, J. P. Heritage and J.-M. Morookian, "Strategies for realizing optical CDMA for dense, high speed, long span, optical network applications", J. Lightw. Technol. (Special Issue on Optical Networks), vol. 18, no. 12, pp. 1685-1696, Dec. 2000.

A. J. Mendez, V. J. Hernandez, C. V. Bennett, W. J. Lennon and R. M. Gagliardi, "Optical CDMA (O-CDMA) technology demonstrator (TD) for 2D codes", in Proc. IEEE/LEOS'03 Meeting,, pp. 1044-45.

A. J. Mendez, R. M. Gagliardi, V. J. Hernandez, C. V. Bennett and W. J. Lennon, "Design and performance analysis of wavelength/time (W/T) matrix codes for optical CDMA", J. Lightw. Technol. (Special Issue on Optical Networks), vol. 21, no. 11, pp. 2524 -2533, Nov. 2003.

G. C. Yang and W. C. K. Wong, "Two-dimensional spatial signature patterns", IEEE Trans. Commun., vol. 44, no. 2, pp. 184-191, Feb. 1996.

R. M. H. Yim, L. R. Chen and J. Bajcsy, "Design and performance of 2D codes for wavelength-time optical CDMA", IEEE Photon. Technol. Lett., vol. 14, no. 5, pp. 714-716, May 2002.

P. Patel, V. Baby, L. Xu, D. Rand, I. Glesk and P. R. Prucna1, "A scalable wavelength-hopping, time-spreading optical CDMA system", in Proc. IEEE/LEOS'03 Meeting, Oct. 2003, pp. 1048-1049.

E. S. Shivaleela, K. N. Sivarajan and A. Selvarajan, "Design of a new family of two-dimensional codes for fiber-optic CDMA networks", J. Lightw. Technol., vol. 16, no. 4, pp. 501-508, Apr. 1998.

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