Abstract

The information rate transferred through the Additive White Gaussian Noise (AWGN) channel affected by discrete-time multiplicative Wiener's phase noise is computed in the paper. Upper and lower bounds based on quantization of the phase space and trellis representation of phase noise memory are proposed. The results presented in the paper show that both the upper bound and the lower bound converge to the actual information rate as the number of quantizer's bins increases, the convergence of the lower bound being faster. The analysis presented in the paper allows for pilot symbols being considered. From the one hand, the insertion of pilot symbols penalizes the net symbol rate, thus subtracting space to information transmission, while, from the other hand, they bring information on channel state. The balance between what is lost and what is gained is computed in the paper.

© 2012 IEEE

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  1. T. Mizuochi, Y. Miyata, K. Kubo, T. Sugihara, K. Onohara, H. Yoshida, "Progress in soft-decision FEC," Proc. OFC/NFOEC (2011) pp. 1-3.
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  4. X. Li, Y. Cao, S. Yu, W. Gu, Y. Ji, "A simplified feedforward carrier recovery algorithm for coherent optical QAM systems," J. Lightw. Technol. 29, 801-807 (2011).
  5. G. Colavolpe, A. Barbieri, G. Caire, "Algorithms for iterative decoding in the presence of strong phase noise," IEEE J. Sel. Areas Commun. 23, 1748-1757 (2005).
  6. A. Barbieri, G. Colavolpe, "Soft-output decoding of rotationally invariant invariant codes over channels with phase noise," IEEE Trans. Commun. 55, 2125-2133 (2007).
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2011 (6)

X. Li, Y. Cao, S. Yu, W. Gu, Y. Ji, "A simplified feedforward carrier recovery algorithm for coherent optical QAM systems," J. Lightw. Technol. 29, 801-807 (2011).

M. Magarini, A. Spalvieri, F. Vacondio, M. Bertolini, M. Pepe, G. Gavioli, "Empirical modeling and simulation of phase noise in long-haul coherent optical systems," Opt. Exp. 19, 22455-22461 (2011).

B. Goebel, R.-J. Essiambre, G. Kramer, P. J. Winzer, N. Hanik, "Calculation of mutual information for partially coherent Gaussian channels with application to fiber optics," IEEE Trans. Inf. Theory 57, 5720-5736 (2011).

L. Barletta, M. Magarini, A. Spalvieri, "Estimate of information rates of discrete-time first-order phase noise channel," IEEE Photon. Technol. Lett. 23, 1582-1584 (2011).

A. Barbieri, G. Colavolpe, "On the information rate and repeat-accumulate code design for phase noise channel," IEEE Trans. on Commun. 59, 3223-3228 (2011).

A. Spalvieri, L. Barletta, "Pilot-aided carrier recovery in the presence of phase noise," IEEE Trans. Commun. 59, 1966-1974 (2011).

2010 (1)

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, B. Goebel, "Capacity limits of optical fiber networks," J. Lightw. Technol. 28, 662-701 (2010).

2009 (2)

M. G. Taylor, "Phase estimation methods for optical coherent detection using digital signal processing," J. Lightw. Technol. 27, 901-914 (2009).

T. Pfau, S. Hoffmann, R. Noe, "Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for M-QAM constellations," J. Lightw. Technol. 27, 989-999 (2009).

2007 (1)

A. Barbieri, G. Colavolpe, "Soft-output decoding of rotationally invariant invariant codes over channels with phase noise," IEEE Trans. Commun. 55, 2125-2133 (2007).

2006 (1)

D. M. Arnold, H.-A. Loeliger, P. O. Vontobel, A. Kavcic, W. Zeng, "Simulation-based computation of information rates for channels with memory," IEEE Trans. Inf. Theory 52, 3498-3508 (2006).

2005 (3)

I. B. Djordjevic, B. Vasic, M. Ivkovic, I. Gabitov, "Achievable information rates fot high-speed long-haul optical transmission," J. Lightw. Technol. 23, 3755-3763 (2005).

N. Noels, H. Steedam, M. Moeneclaey, H. Bruneel, "Carrier phase and frequency estimation for pilot-assisted transmission: Bounds and algorithms," IEEE Trans. Signal Process. 53, 4578-4587 (2005).

G. Colavolpe, A. Barbieri, G. Caire, "Algorithms for iterative decoding in the presence of strong phase noise," IEEE J. Sel. Areas Commun. 23, 1748-1757 (2005).

2002 (1)

P. Hou, B. J. Belzer, T. R. Fischer, "Shaping gain of the partially coherent additive white Gaussian noise channel," IEEE Commun. Lett. 6, 175-177 (2002).

1988 (1)

G. J. Foschini, G. Vannucci, "Characterizing filtered light waves corrupted by phase noise," IEEE Trans. Inf. Theory 34, 1437-1448 (1988).

IEEE Commun. Lett. (1)

P. Hou, B. J. Belzer, T. R. Fischer, "Shaping gain of the partially coherent additive white Gaussian noise channel," IEEE Commun. Lett. 6, 175-177 (2002).

IEEE Photon. Technol. Lett. (1)

L. Barletta, M. Magarini, A. Spalvieri, "Estimate of information rates of discrete-time first-order phase noise channel," IEEE Photon. Technol. Lett. 23, 1582-1584 (2011).

IEEE Trans. on Commun. (1)

A. Barbieri, G. Colavolpe, "On the information rate and repeat-accumulate code design for phase noise channel," IEEE Trans. on Commun. 59, 3223-3228 (2011).

IEEE J. Sel. Areas Commun. (1)

G. Colavolpe, A. Barbieri, G. Caire, "Algorithms for iterative decoding in the presence of strong phase noise," IEEE J. Sel. Areas Commun. 23, 1748-1757 (2005).

IEEE Trans. Commun. (1)

A. Spalvieri, L. Barletta, "Pilot-aided carrier recovery in the presence of phase noise," IEEE Trans. Commun. 59, 1966-1974 (2011).

IEEE Trans. Inf. Theory (2)

D. M. Arnold, H.-A. Loeliger, P. O. Vontobel, A. Kavcic, W. Zeng, "Simulation-based computation of information rates for channels with memory," IEEE Trans. Inf. Theory 52, 3498-3508 (2006).

G. J. Foschini, G. Vannucci, "Characterizing filtered light waves corrupted by phase noise," IEEE Trans. Inf. Theory 34, 1437-1448 (1988).

IEEE Trans. Commun. (1)

A. Barbieri, G. Colavolpe, "Soft-output decoding of rotationally invariant invariant codes over channels with phase noise," IEEE Trans. Commun. 55, 2125-2133 (2007).

IEEE Trans. Inf. Theory (1)

B. Goebel, R.-J. Essiambre, G. Kramer, P. J. Winzer, N. Hanik, "Calculation of mutual information for partially coherent Gaussian channels with application to fiber optics," IEEE Trans. Inf. Theory 57, 5720-5736 (2011).

IEEE Trans. Signal Process. (1)

N. Noels, H. Steedam, M. Moeneclaey, H. Bruneel, "Carrier phase and frequency estimation for pilot-assisted transmission: Bounds and algorithms," IEEE Trans. Signal Process. 53, 4578-4587 (2005).

J. Lightw. Technol. (1)

I. B. Djordjevic, B. Vasic, M. Ivkovic, I. Gabitov, "Achievable information rates fot high-speed long-haul optical transmission," J. Lightw. Technol. 23, 3755-3763 (2005).

J. Lightw. Technol. (4)

M. G. Taylor, "Phase estimation methods for optical coherent detection using digital signal processing," J. Lightw. Technol. 27, 901-914 (2009).

T. Pfau, S. Hoffmann, R. Noe, "Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for M-QAM constellations," J. Lightw. Technol. 27, 989-999 (2009).

X. Li, Y. Cao, S. Yu, W. Gu, Y. Ji, "A simplified feedforward carrier recovery algorithm for coherent optical QAM systems," J. Lightw. Technol. 29, 801-807 (2011).

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, B. Goebel, "Capacity limits of optical fiber networks," J. Lightw. Technol. 28, 662-701 (2010).

Opt. Exp. (1)

M. Magarini, A. Spalvieri, F. Vacondio, M. Bertolini, M. Pepe, G. Gavioli, "Empirical modeling and simulation of phase noise in long-haul coherent optical systems," Opt. Exp. 19, 22455-22461 (2011).

Other (1)

T. Mizuochi, Y. Miyata, K. Kubo, T. Sugihara, K. Onohara, H. Yoshida, "Progress in soft-decision FEC," Proc. OFC/NFOEC (2011) pp. 1-3.

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