Maximum-likelihood sequence estimation in dispersive optical channels

This paper discusses the investigation of maximum-likelihood sequence estimation (MLSE) receivers operating on intensity-modulated direct-detection optical channels. The study focuses on long-haul or metro links spanning several hundred kilometers of single-mode fiber with optical amplifiers. The structure of MLSE-based optical receivers operating in the presence of dispersion and amplified spontaneous emission (ASE), as well as shot and thermal noise, are discussed, and a theory of the error rate of these receivers is developed. Computer simulations show a close agreement between the predictions of the theory and simulation results. Some important implementation issues are also addressed. 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 noise is often non-Gaussian and signal dependent. For example, in optically amplified single-mode fiber links, the dominant source of noise is ASE noise, which after photodetection is distributed according to a noncentral chi-square probability density function. In addition, optical fibers suffer from chromatic and polarization-mode dispersion (PMD). Although the use of MLSE in optical channels has been discussed in previous literature, no detailed analysis of optical receivers using this technique has been reported so far. This motivates the study reported in this paper.

[1]  Oscar E. Agazzi,et al.  Maximum likelihood sequence estimation in the presence of chromatic and polarization mode dispersion in intensity modulation/direct detection optical channels , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).

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

[3]  John G. Proakis,et al.  Digital Communications , 1983 .

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

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

[6]  R. Urbansky,et al.  Principles for electronic equalization of polarization-mode dispersion , 2004, Journal of Lightwave Technology.

[7]  Marco Secondini,et al.  Adaptive minimum MSE controlled PLC optical equalizer for chromatic dispersion compensation , 2003 .

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

[9]  F. Buchali,et al.  Adaptive PMD compensation by electrical and optical techniques , 2004, Journal of Lightwave Technology.

[10]  Giulio Colavolpe,et al.  Novel MSE adaptive control of optical PMD compensators , 2002 .

[11]  R. J. Nuyts,et al.  Dispersion equalization of a 10 Gb/s repeatered transmission system using dispersion compensating fibers , 1997 .

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

[13]  Venugopal Gopinathan,et al.  Methods and systems for based on digital signal processing receiver , 2002 .

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

[15]  Stephen H. Lewis,et al.  Calibration of sample-time error in a two-channel time-interleaved analog-to-digital converter , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

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

[18]  Gerhard Fettweis,et al.  A CMOS IC for Gb/s Viterbi decoding: system design and VLSI implementation , 1996, IEEE Trans. Very Large Scale Integr. Syst..

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

[20]  Oscar E. Agazzi,et al.  On the use of tentative decisions to cancel intersymbol interference and nonlinear distortion (with application to magnetic recording channels) , 1997, IEEE Trans. Inf. Theory.

[21]  A. Weiss,et al.  On the performance of electrical equalization in optical fiber transmission systems , 2003, IEEE Photonics Technology Letters.

[22]  D. Marcuse Derivation of analytical expressions for the bit-error probability in lightwave systems with optical amplifiers , 1990 .

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

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

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

[26]  Rodney A. Kennedy,et al.  BLIND ADAPTATION OF DECISION FEEDBACK EQUALIZERS: GROSS CONVERGENCE PROPERTIES* , 1993 .

[27]  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.

[28]  Edward A. Lee,et al.  Digital communication (2. ed.) , 1994 .

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

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