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amplification," J. Lightw. Technol. 27, 706-717 (2009).

L. Gerardi, M. Secondini, E. Forestieri, "Pattern perturbation method for multicanonical Monte Carlo simulations in
optical communications," IEEE Photon. Technol. Lett. 19, 1934-1936 (2007).

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).

E. Ciaramella, E. Forestieri, "Analytical approximation of nonlinear distortions," IEEE Photon. Technol. Lett. 17, 91-93 (2005).

P. Serena, A. Bononi, J.-C. Antona, S. Bigo, "Parametric gain in the strongly nonlinear regime and its impact on 10-Gb/s
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transmission systems using linearization," J. Lightw. Technol. 20, 389-400 (2002).

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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).

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

E. Ciaramella, E. Forestieri, "Analytical approximation of nonlinear distortions," IEEE Photon. Technol. Lett. 17, 91-93 (2005).

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).

L. Gerardi, M. Secondini, E. Forestieri, "Pattern perturbation method for multicanonical Monte Carlo simulations in
optical communications," IEEE Photon. Technol. Lett. 19, 1934-1936 (2007).

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

M. Kac, A. J. F. Siegert, "On the theory of noise in radio receivers with square law detectors," J. Appl. Phys. 18, 383-397 (1947).

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).

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).

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).

E. Forestieri, M. Secondini, "On the error probability evaluation in lightwave systems with optical
amplification," J. Lightw. Technol. 27, 706-717 (2009).

R. Holzlöhner, V. S. Grigoryan, C. R. Menyuk, L. a. 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. Bononi, J.-C. Antona, S. Bigo, "Parametric gain in the strongly nonlinear regime and its impact on 10-Gb/s
NRZ systems with forward-error correction," J. Lightw. Technol. 23, 2352-2363 (2005).

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

A. Vannucci, P. Serena, A. Bononi, "The RP method: A new tool for the iterative solution of the nonlinear
Schrödinger equation," J. Lightw. Technol. 20, 1102-1112 (2002).

R. Hui, M. O'Sullivan, A. Robinson, M. Taylor, "Modulation instability and its impact in multispan optical amplified IMDD
systems: Theory and experiments," J. Lightw. Technol. 15, 1071-1082 (1997).

M. Karlsson, "Modulational instability in lossy optical fibers," J. Opt. Soc. Amer. B 12, 2071-2077 (1995).

B. A. Berg, "Algorithmic aspects of multicanonical simulations," Nucl. Phys. B (Proc. Suppl.) 63A-C, 982-984 (1998).

A. V. T. Cartaxo, "Small-signal analysis for nonlinear and dispersive optical fibres, and its
application to design of dispersion supported transmission systems with optical dispersion
compensation," Proc. Inst. Elect. Eng., Optoelectron. 146, 213-222 (1999).

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