Evaluating the error probability in lightwave systems with chromatic dispersion, arbitrary pulse shape and pre- and postdetection filtering

A novel approach to analytically evaluate the bit error probability in optically preamplified direct-detection systems is presented, which can take into account the effects of pulse shaping, chirping, filtering at the transmitter and the receiver, both pre- and postdetection, chromatic dispersion, and ASE noise. The method is computationally very fast in that the saddle point integration method for solving the resulting line integral of a particular moment generating function is adopted. A closed-form approximation for the bit error probability is also provided, which is within 0.01 dB from the exact numerical results.

[1]  S. Perlis,et al.  Theory of Matrices , 1953 .

[2]  F. Wallace FIBER OPTICS. , 1965, Hospital topics.

[3]  C. Helstrom,et al.  Statistical theory of signal detection , 1968 .

[4]  C. Schwartz,et al.  Numerical integration of analytic functions , 1969 .

[5]  S. Rice Efficient evaluation of integrals of analytic functions by the trapezoidal rule , 1973 .

[6]  S. Personick Receiver design for digital fiber optic communication systems, II , 1973 .

[7]  Solomon W. Golomb,et al.  Shift Register Sequences , 1981 .

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

[9]  James Ritcey,et al.  Evaluating Radar Detection Probabilities by Steepest Descent Integration , 1984, IEEE Transactions on Aerospace and Electronic Systems.

[10]  Carl W. Helstrom Distribution of the filtered output of a quadratic rectifier computed by numerical contour integration , 1986, IEEE Trans. Inf. Theory.

[11]  Sergio Benedetto,et al.  Digital Transmission Theory , 1987 .

[12]  Richard E. Wagner,et al.  Chromatic dispersion limitations in coherent lightwave transmission systems , 1988 .

[13]  P. Henry Error-rate performance of optical amplifiers , 1989 .

[14]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[15]  Leonard J. Cimini,et al.  Optical equalization to combat the effects of laser chirp and fiber dispersion , 1990 .

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

[17]  Leonid G. Kazovsky,et al.  Theory of direct-detection lightwave receivers using optical amplifiers , 1991 .

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

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

[20]  J. S. Lee,et al.  Bit-error-rate analysis of optically preamplified receivers using an eigenfunction expansion method in optical frequency domain , 1994 .

[21]  G. Jacobsen,et al.  Performance of preamplified direct detection systems under influence of receiver noise , 1994, IEEE Photonics Technology Letters.

[22]  L. Ribeiro,et al.  Performance evaluation of EDFA preamplified receivers taking into account intersymbol interference , 1995 .

[23]  S. L. Danielsen,et al.  Detailed noise statistics for an optically preamplified direct detection receiver , 1995 .

[24]  C. Lawetz,et al.  Performance of optically preamplified receivers with Fabry-Perot optical filters , 1996 .

[25]  Frank Bruyere Impact of First- and Second-Order PMD in Optical Digital Transmission Systems , 1996 .

[26]  S. Kuwano,et al.  Dispersion-tolerant optical transmission system using duobinary transmitter and binary receiver , 1997 .

[27]  I. Monroy,et al.  Bit error evaluation of optically preamplified direct detection receivers with Fabry-Perot optical filters , 1997 .

[28]  Heinrich Meyr,et al.  Digital communication receivers , 1997 .

[29]  Kerry Hinton,et al.  Dispersion compensation using apodized Bragg fiber gratings in transmission , 1998 .

[30]  H. V. Trees Detection, Estimation, And Modulation Theory , 2001 .