Abstract

This paper considers the application of constrained coding to 40-Gb/s dispersion-managed single-channel optical communication systems limited by intrachannel four-wave mixing (IFWM). It is shown that when transmitted sequences obey the socalled (2, ∞) constraint, runlength-limited codes can be designed to not only suppress ghost pulse formation but also improve the data rate by as much as 50% without increasing the transmission bandwidth. Since IFWM is a highly pattern-dependent effect, coding schemes with certain characteristics are preferable. Two different codes with simple encoding and decoding algorithms are constructed, and their performance is analyzed and compared to that of a realistic benchmark system. One of the codes turns out to be consistently better than the other due to its superior statistical properties. The qualitative conclusions are confirmed by numerical simulations. An extension of the method to multichannel links is also considered, and similar gain in data rate is demonstrated.

© 2006 IEEE

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Electron. Lett. (1)

G. Khachatrian, K. A. S. Immink, "Construction of simple runlength-limited codes," Electron. Lett. 35, 140 (1999).

IEEE J. Sel. Topics Quantum Electron. (1)

M. J. Ablowitz, T. Hirooka, "Resonant intrachannel pulse interactions in dispersion-managed transmission systems," IEEE J. Sel. Topics Quantum Electron. 8, 603-615 (2002).

IEEE Photon. Technol. Lett. (8)

R. I. Killey, H. J. Thiele, V. Mikhailov, P. Bayvel, "Reduction of intrachannel nonlinear distortion in 40-Gb/s-based WDM transmission over standard fiber," IEEE Photon. Technol. Lett. 12, 1624-1626 (2000).

A. Mecozzi, C. B. Clausen, M. Shtaif, "Analysis of intrachannel nonlinear effects in highly dispersed optical pulse transmission," IEEE Photon. Technol. Lett. 12, 392-394 (2000).

A. Mecozzi, C. B. Clausen, M. Shtaif, "System impact of intra-channel nonlinear effects in highly dispersed optical pulse transmission," IEEE Photon. Technol. Lett. 12, 1633-1635 (2000).

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, A. H. Gnauck, "Cancellation of timing and amplitude jitter in symmetric links using highly dispersed pulses," IEEE Photon. Technol. Lett. 13, 445-447 (2001).

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, A. R. Chraplyvy, "Bit pattern length dependence of intrachannel nonlinearities in pseudolinear transmission," IEEE Photon. Technol. Lett. 16, 1591-1593 (2004).

N. Alic, Y. Fainman, "Data-dependent phase coding for suppression of ghost pulses in optical fibers," IEEE Photon. Technol. Lett. 16, 1212-1214 (2004).

S. Kumar, "Intrachannel four-wave mixing in dispersion managed RZ systems," IEEE Photon. Technol. Lett. 13, 800-802 (2001).

B. Vasic, V. S. Rao, I. B. Djordjevic, R. K. Kostuk, I. Gabitov, "Ghost-pulse reduction in 40-Gb/s systems using line coding," IEEE Photon. Technol. Lett. 16, 1784-1786 (2004).

IEEE Trans. Inf. Theory (2)

K. A. S. Immink, P. H. Siegel, J. K. Wolf, "Codes for digital recorders," IEEE Trans. Inf. Theory 44, 2260-2299 (1998).

N. Kashyap, P. H. Siegel, A. Vardy, "Coding for the optical channel: The ghost-pulse constraint," IEEE Trans. Inf. Theory 52, 64-77 (2006).

IEICE Trans. Commun. (1)

T. Mizouochi, "Recent progress in forward error correction for optical communication systems," IEICE Trans. Commun. E88-B, 1934-1946 (2005).

J. Lightw. Technol. (8)

V. Pechenkin, F. R. Kschischang, "Higher bit rates for dispersion-managed soliton communication systems via constrained coding," J. Lightw. Technol. 24, 1149-1158 (2006).

D. Marcuse, "Derivation of analytical expressions for the bit-error probability in lightwave systems with optical amplifiers," J. Lightw. Technol. 8, 1816-1823 (1990).

P. A. Humblet, M. Azizog˜lu, "On the bit error rate of lightwave systems with optical amplifiers," J. Lightw. Technol. 9, 1576-1582 (1991).

O. V. Sinkin, R. Holzlöhner, J. Zweck, C. R. Menyuk, "Optimization of the split-step Fourier method in modeling optical-fiber communication systems," J. Lightw. Technol. 21, 61-68 (2003).

I. B. Djordjevic, B. Vasic, "Constrained coding techniques for the suppression of intrachannel nonlinear effects in high-speed optical transmission," J. Lightw. Technol. 24, 411-419 (2006).

I. B. Djordjevic, S. K. Chilappagari, B. Vasic, "Suppression of intrachannel nonlinear effects using pseudoternary constrained codes," J. Lightw. Technol. 24, 769-774 (2006).

C. Xie, I. Kang, A. H. Gnauck, L. Möller, L. F. Mollenauer, A. R. Grant, "Suppression of intrachannel nonlinear effects with alternate-polarization formats," J. Lightw. Technol. 22, 806-812 (2004).

A. Chowdhury, G. Raybon, R.-J. Essiambre, J. H. Sinsky, A. Adamiecki, J. Leuthold, C. R. Doerr, S. Chandrasekhar, "Compensation of intra-channel nonlinearities in 40 Gb/s pseudo-linear systems using optical phase conjugation," J. Lightw. Technol. 23, 172-177 (2005).

Opt. Lett. (3)

Proc. Inst. Electr. Eng.—Optoelectronics (1)

I. B. Djordjevic, B. Vasic, V. S. Rao, "Rate 2/3 modulation code for suppression of intrachannel nonlinear effects in high-speed optical transmission," Proc. Inst. Electr. Eng.—Optoelectronics 153, 87-92 (2006).

Other (3)

K. A. S. Immink, Coding Techniques for Digital Recorders (Prentice-Hall, 1991).

R. B. Ash, Information Theory (Dover, 1990).

V. Pechenkin, F. R. Kschischang, "A new coding scheme for runlength-limited channels," Proc. 22nd Biennial Symp. Commun. (2004) pp. 130-132.

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