Maximum likelihood sequence estimation in the presence of chromatic and polarization mode dispersion in intensity modulation/direct detection optical channels

In this paper we investigate maximum likelihood sequence estimation (MLSE) receivers operating on intensity modulated direct detection optical channels. Our study focuses on long haul or metro links spanning several hundred kilometers of single mode fiber with optical amplifiers. We describe the structure of MLSE-based optical receivers operating in the presence of dispersion and amplified spontaneous emission (ASE) noise, and we develop a theory of the error rate of these receivers. Computer simulations show a close agreement between the predictions of the theory and simulation results. We also address some important implementation issues. Optical channels suffer from impairments that set them apart from other channels and therefore they need a special investigation. Among these impairments are the facts that the optical channel is nonlinear, and the dominant source of noise is often ASE noise, which is distributed according to a noncentral chi-square probability density function (pdf). Additionally, optical fibers suffer from chromatic and polarization mode dispersion (PMD). Although the use of MLSE in optical channels has been discussed in earlier literature (J. H. Winter and R. D. Githin, Sept. 1990) (H.F. Haunstein et. al., 2001) no detailed analysis of optical receivers using this technique has been reported so far. This motivates the study reported in this paper.

[1]  Richard D. Gitlin,et al.  Electrical signal processing techniques in long-haul, fiber-optic systems , 1990, IEEE International Conference on Communications, Including Supercomm Technical Sessions.

[2]  Bahaa E. A. Saleh,et al.  Coherence and intersymbol interference in digital fiber optic communication systems , 1982 .

[3]  Henning Bulow Electronic equalization of transmission impairments , 2002, Optical Fiber Communication Conference and Exhibit.

[4]  R. Urbansky,et al.  Design of near optimum electrical equalizers for optical transmission in the presence of PMD , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[5]  W. Black,et al.  Time interleaved converter arrays , 1980, 1980 IEEE International Solid-State Circuits Conference. Digest of Technical Papers.

[6]  S. Mitra,et al.  Analysis of mismatch effects among A/D converters in a time-interleaved waveform digitizer , 1991 .

[7]  V. Gopinathan,et al.  The impact of nonlinearity on electronic dispersion compensation of optical channels , 2004, Optical Fiber Communication Conference, 2004. OFC 2004.

[8]  Keshab K. Parhi,et al.  DSP-Based Equalization for DSP-Based Equalization for Optical Channels , 2000 .

[9]  S. Personick,et al.  Baseband linearity and equalization in fiber optic digital communication systems , 1973 .

[10]  B. L. Kasper,et al.  Equalization of multimode optical fiber systems , 1982, The Bell System Technical Journal.

[11]  J.H. Winters,et al.  Reducing the effects of transmission impairments in digital fiber optic systems , 1993, IEEE Communications Magazine.

[12]  Keshab K. Parhi,et al.  VLSI digital signal processing systems , 1999 .

[13]  G. David Forney,et al.  Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference , 1972, IEEE Trans. Inf. Theory.

[14]  H. Meyr,et al.  High-speed parallel Viterbi decoding: algorithm and VLSI-architecture , 1991, IEEE Communications Magazine.

[15]  Keinosuke Fukunaga,et al.  Statistical Pattern Recognition , 1993, Handbook of Pattern Recognition and Computer Vision.

[16]  Teresa H. Meng,et al.  A 1-Gb/s, four-state, sliding block Viterbi decoder , 1997, IEEE J. Solid State Circuits.

[17]  D. Marcuse Calculation of Bit-Error Probability for a Lightwave System with Optical Amplifiers and Post-Detection , 1991 .

[18]  P. Hurst,et al.  A digital background calibration technique for time-interleaved analog-to-digital converters , 1998, IEEE J. Solid State Circuits.

[19]  P. Humblet,et al.  On the bit error rate of lightwave systems with optical amplifiers , 1991 .