Abstract
In phase-encoded optical CDMA (OCDMA) spreading is achieved by encoding the phase of signal spectrum. Here, a mathematical model for the output signal of a phase-encoded OCDMA system is first derived. This is shown to lead to a performance metric for the design of spreading sequences for asynchronous transmission.
Generalized bent functions are used to construct a family of efficient phase-encoding sequences. It is shown how M-ary modulation of these spreading sequences is possible. The problem of designing efficient phase-encoded sequences is then related to the problem of minimizing PMEPR (peak-to-mean envelope power ratio) in an OFDM communication system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Salehi, J.A.: Code division multiple-access techniques in optical fiber networks–part I: Fundamental principles. IEEE Trans. Commununication 37, 824–833 (1989)
Weiner, A.M., Heritage, J.P., Salehi, J.A.: Encoding and decoding of femtosecond pulses. Opt. Lett. 13, 300–302 (1988)
Salehi, J.A., Weiner, A.M., Heritage, J.P.: Coherent ultrashort light pulse code-division multiple access commuincation systems. IEEE Journal of Lightwave Tech. 8, 478–491 (1990)
Chung, F., Salehi, J.A., Wei, V.K.: Optical orthogonal codes: Design, analysis, and applications. IEEE Trans. Information Theory 35, 595–604 (1989)
Chung, H., Kumar, P.V.: Optical orthogonal codes – new bounds and an optimal construction. IEEE Trans. Information Theory 36, 866–873 (1990)
Nguyen, Q.A., Györfi, L., Massey, J.L.: Constructions of binary constant-weight cyclic codes and cyclically permutable codes. IEEE Trans. Information Theory 38, 940–949 (1992)
Moreno, O., Zhang, Z., Kumar, P.V., Zinoviev, V.: New constructions of optimal cyclically permutable constant weight codes. IEEE Trans. Information Theory 41, 448–455 (1995)
Buratti, M.: A powerful method for constructing difference families and optimal optical orthogonal codes. Designs, Codes and Cryptography 5, 13–25 (1995)
Ding, C., Xing, C.: Several classes of (2m − 1,w,2) optical orthogonal codes. Discrete Applied Mathematics 128, 103–120 (2003)
Miyamoto, N., Mizuno, H., Shinohara, S.: Optical orthogonal codes obtained from conics on finite projective planes. Finite Fields and Their Applications 10, 405–411 (2004)
Moreno, O., Omrani, R., Kumar, P.V., Lu, H.: A generalized Bose-Chowla family of optical orthogonal codes and distinct difference sets. IEEE Trans. Information Theory 53, 1907–1910 (2007)
Moreno, O., Omrani, R., Kumar, P.V.: New bounds on the size of optical orthogonal codes, and constructions. The IEEE Transactions on Information Theory (to be submitted)
Kavehrad, M., Zaccarin, D.: Optical code-division-multiplexed systems based on spectral encoding of noncoherent sources. IEEE Journal of Lightwave Tech. 13, 534–545 (1995)
Galli, S., Menendez, R., Toliver, P., Banwell, T., Jackel, J., Young, J., Etemad, S.: DWDM compatible spectrally phase encoded optical CDMA. In: Proc. Globecom Conf., pp. 1888–1894 (2004)
Hernandez, V.J., Du, Y., Cong, W., Scott, R.P., Li, K., Heritage, J.P., Ding, Z., Kolner, B.H., Yoo, S.J.B.: Spectral phase-encoded time-spreading (SPECTS) optical code-division multiple-access for terabit optical access networks. IEEE Journal of Lightwave Tech. 22, 2671–2679 (2004)
Etemad, S., Toliver, P., Menendez, R., Young, J., Banwell, T., Galli, S., Jackel, J., Delyett, P., Price, C., Turpin, T.: Spectrally efficient optical CDMA using coherent phase-frequency coding. IEEE Photon. Technol. Lett. 17, 929–931 (2005)
Davis, J.A., Jedwab, J.: Peak-to-mean power control in OFDM, golay complementary sequences, and Reed-Muller codes. IEEE Trans. Information Theory 465, 2397–2417 (1999)
Paterson, K.G., Tarokh, V.: On the existence and construction of good codes with low peak-to-average power ratios. IEEE Trans. Information Theory 46, 1974–1987 (2000)
Paterson, K.G.: Sequences for OFDM and multi-code CDMA: Two problems in algebraic coding theory. In: Helleseth, T., Kumar, P.V., Yang, K. (eds.) SETA 2001, pp. 46–71. Springer, Heidelberg (2002)
Litsyn, S., Yudin, A.: Discrete and continuous maxima in multicarrier communication. IEEE Trans. Information Theory 51, 919–928 (2005)
Kumar, P.V., Scholtz, R.A., Welch, L.R.: Generalized bent functions and their properties. Journal of Combinatorial Theory. Series A 40, 90–107 (1985)
Stapleton, A., Shafiiha, R., Akhavan, H., Farrell, S., Peng, Z., Choi, S.J., Marshal, W., O’brien, J.D., Dapkus, P.D.: Experimental measurement of optical phase in microdisk resonators. In: IEEE/LEOS Summer Topical Meetings, pp. 54–57 (June 2004)
Stapleton, A., Farrell, S., Akhavan, H., Shafiiha, R., Peng, Z., Choi, S.J., Marshal, W., O’brien, J.D., Dapkus, P.D.: Optical phase characterization of active semiconductor microdisk resonators in transmission. Applied Physics Letters 88 (January 2006)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Omrani, R., Bhambhani, P., Kumar, P.V. (2007). Sequences for Phase-Encoded Optical CDMA. In: Golomb, S.W., Gong, G., Helleseth, T., Song, HY. (eds) Sequences, Subsequences, and Consequences. Lecture Notes in Computer Science, vol 4893. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77404-4_9
Download citation
DOI: https://doi.org/10.1007/978-3-540-77404-4_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77403-7
Online ISBN: 978-3-540-77404-4
eBook Packages: Computer ScienceComputer Science (R0)