Abstract

Product accumulate (PA) codes were proposed as a class of high-rate low-complexity, capacity-approaching codes on additive white Gaussian noise (AWGN) channels. In this paper, we investigate the performance of the PA codes on intensity modulated optical fiber channels where the amplified spontaneous emission (ASE) noise dominates all other noise sources. We consider binary on-off keying (OOK) modulation and iterative soft-decision message-passing decoding for the PA codes. Three channel models for the ASE noise dominated channel are investigated: asymmetric chi-square, asymmetric Gaussian, and symmetric Gaussian channels (i.e., AWGN). At low signal-to-noise ratios (SNRs), due to the lack of tight bounds, code performance is evaluated using simulations of typical PA coding schemes. For high SNRs that are beyond simulation capabilities, we derive the pairwise error probability of the three channels and explore an average upper bound on the bit-error rate over the ensemble of PA codes. We show that AWGN channels,although fundamentally different from chi-square channels, can serve as a reference to approximate the performance of high-rate PA codes.

© 2004 IEEE

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J. Lightwave Technol. (4)

D. Marcuse, "Derivation of analytical expressions for the bit-error probability in lightwave systems with optical amplifiers", J. Lightwave Technol., vol. 8, pp. 1816-1823, Dec. 1990 .

P. A. Humblet and M. Azizoglu, "On the bit error rate of lightwave systems with optical amplifiers", J. Lightwave Technol., vol. 9, pp. 1576-1582, Nov. 1991.

B. Vasic, I. B. Djordjevic and R. Kostuk, "Low-density parity check codes and iterative decoding for long haul optical communication systems", J. Lightwave Technol., vol. 21, pp. 438-446, Feb. 2003 .

O. K. Tonguz and L. G. Kazovsky, "Theory of direct-detection lightwave receivers using optical amplifiers", J. Lightwave Technol., vol. 9, pp. 174-181, Feb. 1991.

Other (15)

Y. Cai, J. Chen, J. Li, A. Pilipetskii, A. Lucero and M. Nissov, "On channel models for predicting soft-decision error correction performance in optically amplified systems", in OFC/IOOC'03 Tech. Dig., Atlanta, GA, Mar. 2003, pp. 532-533.

J. Li, K. R. Narayanan and C. N. Georghiades, "A class of linear-complexity, soft-decodable,high-rate, good codes: Construction, properties and performance", in Proc. Int. Symp. Inform. Theory, Washington, DC, June 2001, pp. 122-122.

J. Li, K. R. Narayanan and C. N. Georghiades, "Product accumulate codes: A class of capacity-approaching, low complexity codes", IEEE Trans. Inform. Theory, 2001.

J. G. Proakis, Digital Communications, New York: McGraw-Hill, 1983.

J. Li, K. R. Narayanan and C. N. Georghiades, "Generalized product accumulate codes: Performance and analysis", in Proc. IEEE GLOBECOM, San Antonio, TX, Nov. 2001, pp. 975-979.

D. A. Shnidman, "The calculation of the probability of detection and the generalized Marcum Q-function", IEEE Trans. Inform. Theory, vol. 35, pp. 389-400, Mar. 1989.

Y. Cai, J. M. Morris, T. Adali and C. R. Menyuk, "On turbo code decoder performance in optical-fiber communication systems with dominating ASE noise", J. Lightwave Technol. , vol. 21, pp. 727-733, Mar. 2003.

J. L. Pamart, E. Lefranc, S. Morin, G. Balland, Y. C. Chen, T. M. Kissell and J. L. Miller, "Forward error correction in a 5 Gbit/s 6400 km EDFA based system", Electron. Lett., vol. 30, no. 4, pp. 342-343, Feb. 1994.

S. Yamamoto, H. Takahira and M. Tanaka, "5 Gbps optical transmission terminal equipment using forward error correction code and optical amplifier", Electron. Lett., vol. 30, no. 3, Feb. 1994.

H. Kidorf, N. Ramanujam, I. Hayee, M. Nissov, J. Cai, B. Pedersen, A. Puc and C. Rivers, "Performance improvement in high capacity, ultra-long distance, WDM systems using forward error correction codes", in OFC/IOOC'00 Tech. Dig., Baltimore, MD, Mar. 2000, pp. ThS3-1-ThS3-3.

A. Puc, F. Kerfoot, A. Simons and D. L. Wilson, "Concatenated FEC experiment over 5000 km long straight line WDM test bed", in OFC/IOOC'99 Tech. Dig., San Diego, CA, Feb. 1999, pp. ThQ6-1-THQ6-3.

O. Ait Sab and V. Lemaire, "Block turbo code performances for long-haul DWDM optical transmission systems", in OFC/IOOC'00 Tech. Dig., Baltimore, MD, Mar. 2000, pp. ThS5-1-ThS5-3.

H. Taga, H. Yamauchi, T. Inoue and K. Goto, "Performance improvement of highly nonlinear long-distance optical fiber transmission system using novel high gain forward error correcting code", in OFC/IOOC'01 Tech. Dig., Anaheim, CA, Mar. 2001, pp. TuF3-1-TuF3-3.

O. Ait Sab, "FEC techniques in submarine transmission systems", in OFC/IOOC'01 Tech. Dig., Anaheim, CA, Mar. 2001, pp. TuF1-1-TuF1-3.

B. Vasic and I. B. Djordjevic, "Iterative decodable block codes in long-haul optical transmission systems", J. Opt. Commun., vol. 23, no. 5, pp. 182-186, Oct. 2002.

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