J. A. C. Weideman, L. N. Trefethen, "Parabolic and hyperbolic contours for computing the Bromwich integral," Math. Comput. (2007).

J. A. C. Weideman, "Optimizing Talbot's contours for the inversion of the Laplace transform," BIT Numer. Math. 46, 653-670 (2006).

L. N. Trefethen, J. A. C. Weideman, T. Schmelzer, "Talbot quadratures and rational approximations," SIAM J. Numer. Anal. 44, 2342-2362 (2006).

A. Demir, "Computing timing jitter from phase noise spectra for oscillators and phase-locked loops with white
and $1/f$ noise," IEEE Trans. Circuits Syst. I, Reg. Papers 53, 1869-1884 (2006).

K.-P. Ho, H.-C. Wang, "Effect of dispersion on nonlinear phase noise," Opt. Lett. 31, 2109-2111 (2006).

F. Zhang, C.-A. Bunge, K. Petermann, "Analysis of nonlinear phase noise in single-channel return-to-zero differential phase-shift keying
transmission systems," Opt. Lett. 31, 1038-1040 (2006).

P. Serena, A. Orlandini, A. Bononi, "Parametric-gain approach to the analysis of single-channel DPSK/DQPSK systems with nonlinear phase
noise," J. Lightw. Technol. 24, 2026-2037 (2006).

W. Pellegrini, J. Zweck, C. R. Menyuk, R. Holzlöhner, "Computation of bit error ratios for a dense WDM system using the noise covariance matrix and
multicanonical Monte Carlo methods," IEEE Photon. Technol. Lett. 17, 1644-1646 (2005).

E. T. Spiller, W. L. Kath, R. O. Moore, C. J. McKinstrie, "Computing large signal distortions and bit-error ratios in DPSK transmission systems
," IEEE Photon. Technol. Lett. 17, 1022-1024 (2005).

K.-P. Ho, "Comparison of nonlinear phase noise and intrachannel four-wave mixing for RZ-DPSK signals in
dispersive transmission systems," IEEE Photon. Technol. Lett. 17, 1426-1428 (2005).

K.-P. Ho, "Performance of DPSK signals with quadratic phase noise," IEEE Trans. Commun. 53, 1361-1365 (2005).

X. Huang, L. Zhang, M. Zhang, P. Ye, "Impact of nonlinear phase noise on direct-detection DQPSK WDM systems," IEEE Photon. Technol. Lett. 17, 1423-1425 (2005).

A. K. Kassam, L. N. Trefethen, "Fourth-order time-stepping for stiff PDEs," SIAM J. Sci. Comput. 26, 1214-1233 (2005).

M. Kang, M.-S. Alouini, "Quadratic forms in complex Gaussian matrices and performance analysis of MIMO systems with
cochannel interference," IEEE Trans. Wireless Commun. 3, 418-431 (2004).

G. Bosco, P. Poggiolini, "On the Q factor inaccuracy in the performance analysis of optical direct-detection DPSK systems
," IEEE Photon. Technol. Lett. 16, 665-667 (2004).

J. Wang, J. M. Kahn, "Impact of chromatic and polarization-mode dispersion on DPSK systems using interferometric
detection," J. Lightw. Technol. 22, 362-371 (2004).

K.-P. Ho, "Error probability of DPSK signals with cross-phase modulation induced nonlinear phase noise
," IEEE J. Sel. Topics Quantum Electron. 10, 421-427 (2004).

K.-P. Ho, J. M. Kahn, "Electronic compensation technique to mitigate nonlinear phase noise," J. Lightw. Technol. 22, 779-783 (2004).

K.-P. Ho, "Impact of nonlinear phase noise to DPSK signals: A comparison of different models," IEEE Photon. Technol. Lett. 16, 1403-1405 (2004).

Y. Yadin, M. Shtaif, M. Orenstein, "Nonlinear phase noise in phase-modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).

A. Demir, "Non-Monte Carlo formulations and computational techniques for the stochastic nonlinear Schrodinger
equation," J. Comput. Phys. 201, 148-171 (2004).

J. Wang, J. M. Kahn, "Accurate bit-error-ratio computation in nonlinear CRZ-OOK and CRZ-DPSK systems," IEEE Photon. Technol. Lett. 16, 2165-2167 (2004).

C. Xu, X. Liu, X. Wei, "Differential phase-shift keying for high spectral efficiency optical transmissions," IEEE J. Sel. Topics Quantum Electron. 10, 281-293 (2004).

J. M. Kahn, K.-P. Ho, "Spectral efficiency limits and modulation/detection techniques for DWDM systems," IEEE J. Sel. Topics Quantum Electron. 10, 259-272 (2004).

R. Holzlöhner, C. R. Menyuk, W. L. Kath, V. S. Grigoryan, "A covariance matrix method to compute bit error rates in a highly nonlinear dispersion-managed
soliton system," IEEE Photon. Technol. Lett. 15, 688-690 (2003).

A. G. Green, P. P. Mitra, L. G. L. Wegener, "Effect of chromatic dispersion on nonlinear phase noise," Opt. Lett. 28, 2455-2457 (2003).

B. Xu, M. Brandt-Pearce, "Comparison of FWM- and XPM-induced crosstalk using Volterra series transfer function method
," J. Lightw. Technol. 21, 40-53 (2003).

H. Kim, A. H. Gnauck, "Experimental investigation of the performance limitation of DPSK systems due to nonlinear phase
noise," IEEE Photon. Technol. Lett. 15, 320-322 (2003).

H. Kim, "Cross-phase-modulation-induced nonlinear phase noise in WDM direct-detection DPSK systems
," J. Lightw. Technol. 21, 1770-1774 (2003).

K.-P. Ho, "Performance degradation of phase-modulated systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 1213-1215 (2003).

K.-P. Ho, "Compensation improvement of DPSK signal with nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 1216-1218 (2003).

T. Mizuochi, K. Ishida, T. Kobayashi, J. Abe, K. Kinjo, K. Motoshima, K. Kasahara, "A comparative study of DPSK and OOK WDM transmission over transoceanic distances and their
performance degradations due to nonlinear phase noise," J. Lightw. Technol. 21, 1933-1943 (2003).

E. Forestieri, "Correction to ‘Evaluating the error probability in lightwave systems with chromatic
dispersion, arbitrary pulse shape and pre- and postdetection filtering’," J. Lightw. Technol. 21, 1592 (2003).

P. Winzer, H. Kim, "Degradations in balanced DPSK receivers," IEEE Photon. Technol. Lett. 15, 1282-1284 (2003).

Y. Ma, T. J. Lim, S. Pasupath, "Error probability for coherent and differential PSK over arbitrary Rician fading channels with
multiple cochannel interferers," IEEE Trans. Commun. 50, 429-441 (2002).

C. J. McKinstrie, C. Xie, "Phase jitter in single-channel solution systems with constant dispersion," IEEE J. Sel. Topics Quantum Electron. 8, 616-625 (2002).

R. Holzlöhner, V. S. Grigoryan, C. R. Menyuk, W. L. Kath, "Accurate calculation of eye diagrams and bit error rates in optical transmission systems using
linearization," J. Lightw. Technol. 20, 389-400 (2002).

R. Holzlöhner, V. S. Grigoryan, C. R. Menyuk, W. L. Kath, "Efficient and accurate computation of eye diagrams and bit-error rates in a single-channel CRZ
system," IEEE Photon. Technol. Lett. 14, 1079-1081 (2002).

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "A novel analytical method to the evaluation of the impact of fiber parametric gain on the bit
error rate," IEEE Trans. Commun. 49, 2154-2163 (2001).

E. Forestieri, "Evaluating the error probability in lightwave systems with chromatic dispersion, arbitrary pulse
shape and pre- and postdetection filtering," J. Lightw. Technol. 18, 1493-1503 (2000).

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "A novel analytical method for the BER evaluation in optical systems affected by parametric gain
," IEEE Photon. Technol. Lett. 12, 152-154 (2000).

J.-K. Rhee, D. Chowdhury, K. S. Cheng, U. Gliese, "DPSK $32 \times 10\ \hbox{Gb/s}$ transmission modeling on
$5 \times 90\ \hbox{km}$ terrestrial system," IEEE Photon. Technol. Lett. 12, 1627-1629 (2000).

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "Parametric gain in multiwavelength systems: A new approach to noise enhancement analysis
," IEEE Photon. Technol. Lett. 11, 1135-1137 (1999).

R. Hui, K. R. Demarest, C. T. Allen, "Cross-phase modulation in multispan WDM optical fiber systems," J. Lightw. Technol. 17, 1018-1026 (1999).

A. V. T. Cartaxo, B. Wedding, W. Idler, "Influence of fiber nonlinearity on the fiber transfer function: Theoretical and experimental
analysis," J. Lightw. Technol. 17, 1806-1813 (1999).

A. V. T. Cartaxo, B. Wedding, W. Idler, "Influence of fiber nonlinearity on the phase noise to intensity noise conversion in fiber
transmission: Theoretical and experimental analysis," J. Lightw. Technol. 16, 1187-1194 (1998).

M. Shtaif, M. Eiselt, "Analysis of intensity interference caused by cross-phase modulation in dispersive optical fibers
," IEEE Photon. Technol. Lett. 10, 979-981 (1998).

J. Leibrich, C. Wree, W. Rosenkranz, "CF-RZ-DPSK for suppression of XPM on dispersion-managed long-haul optical WDM transmission on
standard single-mode fiber," IEEE Photon. Technol. Lett. 14, 155-157 (1998).

C. W. Helstrom, "Computing the distribution of sums of random sine waves and of Rayleigh-ditributed random
variables by saddle-point integration," IEEE Trans. Commun. 45, 1487-1494 (1997).

A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "New analytical results on fiber parametric gain and its effects on ASE noise," IEEE Photon. Technol. Lett. 9, 535-537 (1997).

A. Demir, E. Liu, A. Sangiovanni-Vincentelli, "Time-domain non-Monte Carlo noise simulation for nonlinear dynamic circuits with arbitrary
excitations," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst. 15, 493-505 (1996).

T.-K. Chiang, N. Kagi, M. E. Marhic, L. G. Kazovsky, "Cross-phase modulation in fiber links with multiple optical amplifiers and dispersion compensators
," J. Lightw. Technol. 14, 249-260 (1996).

D. Raphaeli, "Distribution of noncentral indefinite quadratic forms in complex normal variables," IEEE Trans. Inf. Theory 42, 1002-1997 (1996).

J.-S. Lee, C.-S. Shim, "Bit-error-rate analysis of optically preamplified receivers using an eigenfunction expansion
method in optical frequency domain," J. Lightw. Technol. 12, 1224-1229 (1994).

A. Mecozzi, "Limits to long-haul coherent transmission set by the Kerr nonlinearity and noise of the in-line
amplifiers," J. Lightw. Technol. 12, 1993-2000 (1994).

T.-K. Chiang, N. Kagi, T. K. Fong, M. E. Marhic, L. G. Kazovsky, "Cross-phase modulation in dispersive fibers: Theoretical and experimental investigation of the
impact of modulation frequency," IEEE Photon. Technol. Lett. 6, 733-736 (1994).

M. Azizoglu, P. A. Humblet, J. S. Young, "Phase noise induced performance limits for DPSK modulation with and without frequency feedback
," J. Lightw. Technol. 11, 290-302 (1993).

K. Kikuchi, "Enhancement of optical-amplifier noise by nonlinear refractive index and group-velocity dispersion
of optical fibers," IEEE Photon. Technol. Lett. 5, 221-223 (1993).

J. Wang, K. Petermann, "Small-signal analysis for dispersive optical fiber communication systems," J. Lightw. Technol. 10, 96-100 (1992).

S. Ryu, "Signal linewidth broadening due to nonlinear Kerr effect in long-haul coherent systems using
cascaded optical amplifiers," J. Lightw. Technol. 10, 1450-1457 (1992).

J. P. Gordon, L. F. Mollenauer, "Phase noise in photonic communication systems using linear amplifiers," Opt. Lett. 15, 1351 (1990).

H. A. Haus, Y. Lai, "Quantum theory of soliton squeezing: A linearized approach," J. Opt. Soc. Amer. B, Opt. Phys. 7, 386-392 (1990).

D. J. Kaup, "Perturbation theory for solitons in optical fibers," Phys. Rev. A, Gen. Phys. 42, 5689-5694 (1990).

J. P. Gordon, H. A. Haus, "Random walk of coherently amplified solitons in optical fiber transmission," Opt. Lett. 11, 665-667 (1986).

C. W. Helstrom, "Distribution of the filtered output of a quadratic rectifier computed by numerical contour
integration," IEEE Trans. Inf. Theory IT-32, 450-463 (1986).

C. W. Helstrom, "Calculating error probabilities for intersymbol and cochannel interference," IEEE Trans. Commun. COM-34, 430-435 (1986).

A. R. Chraplyvy, D. Marcuse, P. S. Henry, "Carrier-induced phase noise in angle-modulated optical-fiber systems," J. Lightw. Technol. LT-2, 6-10 (1984).

R. F. Pawula, S. O. Rice, J. H. Roberts, "Distribution of the phase angle between two vectors perturbed by Gaussian noise," IEEE Trans. Commun. COM-30, 1828-1841 (1982).

J. A. C. Weideman, "Optimizing Talbot's contours for the inversion of the Laplace transform," BIT Numer. Math. 46, 653-670 (2006).

K.-P. Ho, "Error probability of DPSK signals with cross-phase modulation induced nonlinear phase noise
," IEEE J. Sel. Topics Quantum Electron. 10, 421-427 (2004).

C. Xu, X. Liu, X. Wei, "Differential phase-shift keying for high spectral efficiency optical transmissions," IEEE J. Sel. Topics Quantum Electron. 10, 281-293 (2004).

J. M. Kahn, K.-P. Ho, "Spectral efficiency limits and modulation/detection techniques for DWDM systems," IEEE J. Sel. Topics Quantum Electron. 10, 259-272 (2004).

C. J. McKinstrie, C. Xie, "Phase jitter in single-channel solution systems with constant dispersion," IEEE J. Sel. Topics Quantum Electron. 8, 616-625 (2002).

X. Huang, L. Zhang, M. Zhang, P. Ye, "Impact of nonlinear phase noise on direct-detection DQPSK WDM systems," IEEE Photon. Technol. Lett. 17, 1423-1425 (2005).

T.-K. Chiang, N. Kagi, T. K. Fong, M. E. Marhic, L. G. Kazovsky, "Cross-phase modulation in dispersive fibers: Theoretical and experimental investigation of the
impact of modulation frequency," IEEE Photon. Technol. Lett. 6, 733-736 (1994).

Y. Yadin, M. Shtaif, M. Orenstein, "Nonlinear phase noise in phase-modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).

K.-P. Ho, "Performance degradation of phase-modulated systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 1213-1215 (2003).

K.-P. Ho, "Compensation improvement of DPSK signal with nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 1216-1218 (2003).

J. Wang, J. M. Kahn, "Accurate bit-error-ratio computation in nonlinear CRZ-OOK and CRZ-DPSK systems," IEEE Photon. Technol. Lett. 16, 2165-2167 (2004).

E. T. Spiller, W. L. Kath, R. O. Moore, C. J. McKinstrie, "Computing large signal distortions and bit-error ratios in DPSK transmission systems
," IEEE Photon. Technol. Lett. 17, 1022-1024 (2005).

J. Leibrich, C. Wree, W. Rosenkranz, "CF-RZ-DPSK for suppression of XPM on dispersion-managed long-haul optical WDM transmission on
standard single-mode fiber," IEEE Photon. Technol. Lett. 14, 155-157 (1998).

H. Kim, A. H. Gnauck, "Experimental investigation of the performance limitation of DPSK systems due to nonlinear phase
noise," IEEE Photon. Technol. Lett. 15, 320-322 (2003).

K.-P. Ho, "Comparison of nonlinear phase noise and intrachannel four-wave mixing for RZ-DPSK signals in
dispersive transmission systems," IEEE Photon. Technol. Lett. 17, 1426-1428 (2005).

J.-K. Rhee, D. Chowdhury, K. S. Cheng, U. Gliese, "DPSK $32 \times 10\ \hbox{Gb/s}$ transmission modeling on
$5 \times 90\ \hbox{km}$ terrestrial system," IEEE Photon. Technol. Lett. 12, 1627-1629 (2000).

K.-P. Ho, "Impact of nonlinear phase noise to DPSK signals: A comparison of different models," IEEE Photon. Technol. Lett. 16, 1403-1405 (2004).

A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "New analytical results on fiber parametric gain and its effects on ASE noise," IEEE Photon. Technol. Lett. 9, 535-537 (1997).

M. Shtaif, M. Eiselt, "Analysis of intensity interference caused by cross-phase modulation in dispersive optical fibers
," IEEE Photon. Technol. Lett. 10, 979-981 (1998).

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "Parametric gain in multiwavelength systems: A new approach to noise enhancement analysis
," IEEE Photon. Technol. Lett. 11, 1135-1137 (1999).

R. Holzlöhner, V. S. Grigoryan, C. R. Menyuk, W. L. Kath, "Efficient and accurate computation of eye diagrams and bit-error rates in a single-channel CRZ
system," IEEE Photon. Technol. Lett. 14, 1079-1081 (2002).

R. Holzlöhner, C. R. Menyuk, W. L. Kath, V. S. Grigoryan, "A covariance matrix method to compute bit error rates in a highly nonlinear dispersion-managed
soliton system," IEEE Photon. Technol. Lett. 15, 688-690 (2003).

W. Pellegrini, J. Zweck, C. R. Menyuk, R. Holzlöhner, "Computation of bit error ratios for a dense WDM system using the noise covariance matrix and
multicanonical Monte Carlo methods," IEEE Photon. Technol. Lett. 17, 1644-1646 (2005).

P. Winzer, H. Kim, "Degradations in balanced DPSK receivers," IEEE Photon. Technol. Lett. 15, 1282-1284 (2003).

G. Bosco, P. Poggiolini, "On the Q factor inaccuracy in the performance analysis of optical direct-detection DPSK systems
," IEEE Photon. Technol. Lett. 16, 665-667 (2004).

K. Kikuchi, "Enhancement of optical-amplifier noise by nonlinear refractive index and group-velocity dispersion
of optical fibers," IEEE Photon. Technol. Lett. 5, 221-223 (1993).

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "A novel analytical method for the BER evaluation in optical systems affected by parametric gain
," IEEE Photon. Technol. Lett. 12, 152-154 (2000).

A. Demir, "Computing timing jitter from phase noise spectra for oscillators and phase-locked loops with white
and $1/f$ noise," IEEE Trans. Circuits Syst. I, Reg. Papers 53, 1869-1884 (2006).

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "A novel analytical method to the evaluation of the impact of fiber parametric gain on the bit
error rate," IEEE Trans. Commun. 49, 2154-2163 (2001).

Y. Ma, T. J. Lim, S. Pasupath, "Error probability for coherent and differential PSK over arbitrary Rician fading channels with
multiple cochannel interferers," IEEE Trans. Commun. 50, 429-441 (2002).

C. W. Helstrom, "Computing the distribution of sums of random sine waves and of Rayleigh-ditributed random
variables by saddle-point integration," IEEE Trans. Commun. 45, 1487-1494 (1997).

R. F. Pawula, S. O. Rice, J. H. Roberts, "Distribution of the phase angle between two vectors perturbed by Gaussian noise," IEEE Trans. Commun. COM-30, 1828-1841 (1982).

C. W. Helstrom, "Calculating error probabilities for intersymbol and cochannel interference," IEEE Trans. Commun. COM-34, 430-435 (1986).

K.-P. Ho, "Performance of DPSK signals with quadratic phase noise," IEEE Trans. Commun. 53, 1361-1365 (2005).

A. Demir, E. Liu, A. Sangiovanni-Vincentelli, "Time-domain non-Monte Carlo noise simulation for nonlinear dynamic circuits with arbitrary
excitations," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst. 15, 493-505 (1996).

D. Raphaeli, "Distribution of noncentral indefinite quadratic forms in complex normal variables," IEEE Trans. Inf. Theory 42, 1002-1997 (1996).

C. W. Helstrom, "Distribution of the filtered output of a quadratic rectifier computed by numerical contour
integration," IEEE Trans. Inf. Theory IT-32, 450-463 (1986).

M. Kang, M.-S. Alouini, "Quadratic forms in complex Gaussian matrices and performance analysis of MIMO systems with
cochannel interference," IEEE Trans. Wireless Commun. 3, 418-431 (2004).

A. Demir, "Non-Monte Carlo formulations and computational techniques for the stochastic nonlinear Schrodinger
equation," J. Comput. Phys. 201, 148-171 (2004).

H. Kim, "Cross-phase-modulation-induced nonlinear phase noise in WDM direct-detection DPSK systems
," J. Lightw. Technol. 21, 1770-1774 (2003).

M. Azizoglu, P. A. Humblet, J. S. Young, "Phase noise induced performance limits for DPSK modulation with and without frequency feedback
," J. Lightw. Technol. 11, 290-302 (1993).

B. Xu, M. Brandt-Pearce, "Comparison of FWM- and XPM-induced crosstalk using Volterra series transfer function method
," J. Lightw. Technol. 21, 40-53 (2003).

A. R. Chraplyvy, D. Marcuse, P. S. Henry, "Carrier-induced phase noise in angle-modulated optical-fiber systems," J. Lightw. Technol. LT-2, 6-10 (1984).

S. Ryu, "Signal linewidth broadening due to nonlinear Kerr effect in long-haul coherent systems using
cascaded optical amplifiers," J. Lightw. Technol. 10, 1450-1457 (1992).

A. Mecozzi, "Limits to long-haul coherent transmission set by the Kerr nonlinearity and noise of the in-line
amplifiers," J. Lightw. Technol. 12, 1993-2000 (1994).

T. Mizuochi, K. Ishida, T. Kobayashi, J. Abe, K. Kinjo, K. Motoshima, K. Kasahara, "A comparative study of DPSK and OOK WDM transmission over transoceanic distances and their
performance degradations due to nonlinear phase noise," J. Lightw. Technol. 21, 1933-1943 (2003).

T.-K. Chiang, N. Kagi, M. E. Marhic, L. G. Kazovsky, "Cross-phase modulation in fiber links with multiple optical amplifiers and dispersion compensators
," J. Lightw. Technol. 14, 249-260 (1996).

J.-S. Lee, C.-S. Shim, "Bit-error-rate analysis of optically preamplified receivers using an eigenfunction expansion
method in optical frequency domain," J. Lightw. Technol. 12, 1224-1229 (1994).

J. Wang, J. M. Kahn, "Impact of chromatic and polarization-mode dispersion on DPSK systems using interferometric
detection," J. Lightw. Technol. 22, 362-371 (2004).

A. V. T. Cartaxo, B. Wedding, W. Idler, "Influence of fiber nonlinearity on the phase noise to intensity noise conversion in fiber
transmission: Theoretical and experimental analysis," J. Lightw. Technol. 16, 1187-1194 (1998).

A. V. T. Cartaxo, B. Wedding, W. Idler, "Influence of fiber nonlinearity on the fiber transfer function: Theoretical and experimental
analysis," J. Lightw. Technol. 17, 1806-1813 (1999).

E. Forestieri, "Evaluating the error probability in lightwave systems with chromatic dispersion, arbitrary pulse
shape and pre- and postdetection filtering," J. Lightw. Technol. 18, 1493-1503 (2000).

E. Forestieri, "Correction to ‘Evaluating the error probability in lightwave systems with chromatic
dispersion, arbitrary pulse shape and pre- and postdetection filtering’," J. Lightw. Technol. 21, 1592 (2003).

K.-P. Ho, J. M. Kahn, "Electronic compensation technique to mitigate nonlinear phase noise," J. Lightw. Technol. 22, 779-783 (2004).

R. Hui, K. R. Demarest, C. T. Allen, "Cross-phase modulation in multispan WDM optical fiber systems," J. Lightw. Technol. 17, 1018-1026 (1999).

R. Holzlöhner, V. S. Grigoryan, C. R. Menyuk, W. L. Kath, "Accurate calculation of eye diagrams and bit error rates in optical transmission systems using
linearization," J. Lightw. Technol. 20, 389-400 (2002).

P. Serena, A. Orlandini, A. Bononi, "Parametric-gain approach to the analysis of single-channel DPSK/DQPSK systems with nonlinear phase
noise," J. Lightw. Technol. 24, 2026-2037 (2006).

J. Wang, K. Petermann, "Small-signal analysis for dispersive optical fiber communication systems," J. Lightw. Technol. 10, 96-100 (1992).

H. A. Haus, Y. Lai, "Quantum theory of soliton squeezing: A linearized approach," J. Opt. Soc. Amer. B, Opt. Phys. 7, 386-392 (1990).

J. A. C. Weideman, L. N. Trefethen, "Parabolic and hyperbolic contours for computing the Bromwich integral," Math. Comput. (2007).

J. P. Gordon, H. A. Haus, "Random walk of coherently amplified solitons in optical fiber transmission," Opt. Lett. 11, 665-667 (1986).

J. P. Gordon, L. F. Mollenauer, "Phase noise in photonic communication systems using linear amplifiers," Opt. Lett. 15, 1351 (1990).

A. G. Green, P. P. Mitra, L. G. L. Wegener, "Effect of chromatic dispersion on nonlinear phase noise," Opt. Lett. 28, 2455-2457 (2003).

F. Zhang, C.-A. Bunge, K. Petermann, "Analysis of nonlinear phase noise in single-channel return-to-zero differential phase-shift keying
transmission systems," Opt. Lett. 31, 1038-1040 (2006).

K.-P. Ho, H.-C. Wang, "Effect of dispersion on nonlinear phase noise," Opt. Lett. 31, 2109-2111 (2006).

D. J. Kaup, "Perturbation theory for solitons in optical fibers," Phys. Rev. A, Gen. Phys. 42, 5689-5694 (1990).

L. N. Trefethen, J. A. C. Weideman, T. Schmelzer, "Talbot quadratures and rational approximations," SIAM J. Numer. Anal. 44, 2342-2362 (2006).

A. K. Kassam, L. N. Trefethen, "Fourth-order time-stepping for stiff PDEs," SIAM J. Sci. Comput. 26, 1214-1233 (2005).

S. Betti, G. De Marchis, E. Iannone, Coherent Optical Communication Systems (Wiley, 1995).

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1995).

G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, 2002).

E. Iannone, F. Matera, A. Mecozzi, M. Settembre, Nonlinear Optical Communication Systems (Wiley, 1998).

J. W. Stokes, J. A. Ritcey, "Evaluation of error probabilities for general signal constellations," Proc. GLOBECOM (1999) pp. 909-913.

A. M. Mathai, S. B. Provost, Quadratic Forms in Random Variables: Theory and Applications (Marcel Dekker, 1992).

A. Demir, "Noise analysis for optical fiber communication systems," Proc. IEEE/ACM Int. Conf. Comput.-Aided Des. (2003) pp. 441-445.

C. W. Helstrom, Elements of Signal Detection & Estimation (Prentice-Hall, 1995).

K.-P. Ho, Advances in Optics and Laser Research (Nova Science, 2003).

J.-A. Huang, K.-P. Ho, "Exact error probability of DQPSK signal with nonlinear phase noise," Proc. 5th Pacific Rim CLEO/Pacific (2003) pp. 91.

J. G. Proakis, Digital Communications (McGraw-Hill, 1995).

S. Benedetto, E. Biglieri, Principles of Digital Transmission With Wireless Applications (Kluwer, 1999).

A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, 1991).

A. H. Nayfeh, Perturbation Methods (Wiley, 1973).

C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer-Verlag, 1983).

A. Demir, A. Sangiovanni-Vincentelli, Analysis and Simulation of Noise in Nonlinear Electronic Circuits and Systems (Kluwer, 1998).

A. Demir, E. Liu, A. Sangiovanni-Vincentelli, "Time-domain non-Monte Carlo noise simulation for nonlinear dynamic circuits with arbitrary
excitations," Proc. ACM/IEEE Int. Conf. Comput.-Aided Des. (1994) pp. 598-603.

A. Demir, "Noise analysis problems and techniques for RF electronic circuits and optical fiber communication
systems," Proc. IEEE ISCAS (2007) pp. 513-516.

M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems (Wiley, 1980).

M. C. Jeruchim, P. Balaban, K. S. Shanmugan, Simulation of Communication Systems: Modeling, Methodology, and Techniques (Kluwer, 2000).