Abstract

We propose and demonstrate a technique to estimate the OSNR of an equalised QPSK signal based on the radial moments of the complex signal constellation. The technique is compared through simulation with maximum likelihood estimation and the effect of the block size used in the estimation is also assessed. The technique is verified experimentally and when combined with a single point calibration the OSNR of the input signal was estimated to within 0.5 dB.

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  1. T. S. R. Shen, A. P. T. Lau, and G. N. Liu, “OSNR monitoring for higher order modulation formats using asynchronous amplitude histogram,” IEEE Photon. Technol. Lett. 22, 1632–1634 (2010).
  2. H. Y. Choi, Y. Takushima, and Y. C. Chung, “Optical performance monitoring technique using asynchronous amplitude and phase histograms,” Opt. Express 17, 23953–23958 (2009).
    [CrossRef]
  3. S. D. Dods and T. B. Anderson, “Optical performance monitoring technique using delay tap asynchronous waveform sampling,” in Optical Fiber Communication/National Fiber Optic Engineers Conference, (OFC/NFOEC) (2006).
  4. J. A. Jargon, X. Wu, H. Y. Choi, Y. C. Chung, and A. E. Willner, “Optical performance monitoring of QPSK data channels by use of neural networks trained with parameters derived from asynchronous constellation diagrams,” Opt. Express 18, 4931–4938 (2010).
    [CrossRef] [PubMed]
  5. E. Ip, A. P. T. Lau, D. J. F. Barros, and J. M. Kahn, “Coherent detection in optical fiber systems,” Opt. Express 16, 753–791 (2008).
    [CrossRef] [PubMed]
  6. S. J. Savory, “Digital coherent optical receivers: algorithms and subsystems,” IEEE J. Sel. Top Quantum Electron. 16, 1164–1179 (2010).
    [CrossRef]
  7. J. J. K. O. Ruanaidh and W. J. Fitzgerald, Numerical Bayesian Methods Applied to Signal Processing (Springer-Verlag, 1995).
  8. S. O. Rice, “Mathematical analysis of random noise,” Bell Syst. Tech. J. 23, 282–332 (1944).
  9. S. O. Rice, “Mathematical analysis of random noise,” Bell Syst. Tech. J. 24, 46–156 (1945).
  10. J. Sijbers, A. J. den Dekker, P. Scheunders, and D. V. Dyck, “Maximum-likelihood estimation of Rician distribution parameters,” IEEE Trans. Med. Imaging 17, 357–361 (1998).
    [CrossRef] [PubMed]
  11. K. K. Talukdar and W. D. Lawing, “Estimation of the parameters of the Rice distribution,” J. Acoust. Soc. Am. 89, 1193–1197 (1991).
    [CrossRef]
  12. C. G. Koay and P. J. Basser, “Analytically exact correction scheme for signal extraction from noisy magnitude MR signals,” J. Mag. Reson. 179, 317–322 (2006).
    [CrossRef]
  13. International Telecommunication Union, “Forward error correction for high bit-rate DWDM submarine systems,” ITU-T recommendation G.975.1 (2004).

2010 (3)

S. J. Savory, “Digital coherent optical receivers: algorithms and subsystems,” IEEE J. Sel. Top Quantum Electron. 16, 1164–1179 (2010).
[CrossRef]

T. S. R. Shen, A. P. T. Lau, and G. N. Liu, “OSNR monitoring for higher order modulation formats using asynchronous amplitude histogram,” IEEE Photon. Technol. Lett. 22, 1632–1634 (2010).

J. A. Jargon, X. Wu, H. Y. Choi, Y. C. Chung, and A. E. Willner, “Optical performance monitoring of QPSK data channels by use of neural networks trained with parameters derived from asynchronous constellation diagrams,” Opt. Express 18, 4931–4938 (2010).
[CrossRef] [PubMed]

2009 (1)

2008 (1)

2006 (1)

C. G. Koay and P. J. Basser, “Analytically exact correction scheme for signal extraction from noisy magnitude MR signals,” J. Mag. Reson. 179, 317–322 (2006).
[CrossRef]

1998 (1)

J. Sijbers, A. J. den Dekker, P. Scheunders, and D. V. Dyck, “Maximum-likelihood estimation of Rician distribution parameters,” IEEE Trans. Med. Imaging 17, 357–361 (1998).
[CrossRef] [PubMed]

1991 (1)

K. K. Talukdar and W. D. Lawing, “Estimation of the parameters of the Rice distribution,” J. Acoust. Soc. Am. 89, 1193–1197 (1991).
[CrossRef]

1945 (1)

S. O. Rice, “Mathematical analysis of random noise,” Bell Syst. Tech. J. 24, 46–156 (1945).

1944 (1)

S. O. Rice, “Mathematical analysis of random noise,” Bell Syst. Tech. J. 23, 282–332 (1944).

Anderson, T. B.

S. D. Dods and T. B. Anderson, “Optical performance monitoring technique using delay tap asynchronous waveform sampling,” in Optical Fiber Communication/National Fiber Optic Engineers Conference, (OFC/NFOEC) (2006).

Barros, D. J. F.

Basser, P. J.

C. G. Koay and P. J. Basser, “Analytically exact correction scheme for signal extraction from noisy magnitude MR signals,” J. Mag. Reson. 179, 317–322 (2006).
[CrossRef]

Choi, H. Y.

Chung, Y. C.

den Dekker, A. J.

J. Sijbers, A. J. den Dekker, P. Scheunders, and D. V. Dyck, “Maximum-likelihood estimation of Rician distribution parameters,” IEEE Trans. Med. Imaging 17, 357–361 (1998).
[CrossRef] [PubMed]

Dods, S. D.

S. D. Dods and T. B. Anderson, “Optical performance monitoring technique using delay tap asynchronous waveform sampling,” in Optical Fiber Communication/National Fiber Optic Engineers Conference, (OFC/NFOEC) (2006).

Dyck, D. V.

J. Sijbers, A. J. den Dekker, P. Scheunders, and D. V. Dyck, “Maximum-likelihood estimation of Rician distribution parameters,” IEEE Trans. Med. Imaging 17, 357–361 (1998).
[CrossRef] [PubMed]

Fitzgerald, W. J.

J. J. K. O. Ruanaidh and W. J. Fitzgerald, Numerical Bayesian Methods Applied to Signal Processing (Springer-Verlag, 1995).

Ip, E.

Jargon, J. A.

Kahn, J. M.

Koay, C. G.

C. G. Koay and P. J. Basser, “Analytically exact correction scheme for signal extraction from noisy magnitude MR signals,” J. Mag. Reson. 179, 317–322 (2006).
[CrossRef]

Lau, A. P. T.

T. S. R. Shen, A. P. T. Lau, and G. N. Liu, “OSNR monitoring for higher order modulation formats using asynchronous amplitude histogram,” IEEE Photon. Technol. Lett. 22, 1632–1634 (2010).

E. Ip, A. P. T. Lau, D. J. F. Barros, and J. M. Kahn, “Coherent detection in optical fiber systems,” Opt. Express 16, 753–791 (2008).
[CrossRef] [PubMed]

Lawing, W. D.

K. K. Talukdar and W. D. Lawing, “Estimation of the parameters of the Rice distribution,” J. Acoust. Soc. Am. 89, 1193–1197 (1991).
[CrossRef]

Liu, G. N.

T. S. R. Shen, A. P. T. Lau, and G. N. Liu, “OSNR monitoring for higher order modulation formats using asynchronous amplitude histogram,” IEEE Photon. Technol. Lett. 22, 1632–1634 (2010).

Rice, S. O.

S. O. Rice, “Mathematical analysis of random noise,” Bell Syst. Tech. J. 24, 46–156 (1945).

S. O. Rice, “Mathematical analysis of random noise,” Bell Syst. Tech. J. 23, 282–332 (1944).

Ruanaidh, J. J. K. O.

J. J. K. O. Ruanaidh and W. J. Fitzgerald, Numerical Bayesian Methods Applied to Signal Processing (Springer-Verlag, 1995).

Savory, S. J.

S. J. Savory, “Digital coherent optical receivers: algorithms and subsystems,” IEEE J. Sel. Top Quantum Electron. 16, 1164–1179 (2010).
[CrossRef]

Scheunders, P.

J. Sijbers, A. J. den Dekker, P. Scheunders, and D. V. Dyck, “Maximum-likelihood estimation of Rician distribution parameters,” IEEE Trans. Med. Imaging 17, 357–361 (1998).
[CrossRef] [PubMed]

Shen, T. S. R.

T. S. R. Shen, A. P. T. Lau, and G. N. Liu, “OSNR monitoring for higher order modulation formats using asynchronous amplitude histogram,” IEEE Photon. Technol. Lett. 22, 1632–1634 (2010).

Sijbers, J.

J. Sijbers, A. J. den Dekker, P. Scheunders, and D. V. Dyck, “Maximum-likelihood estimation of Rician distribution parameters,” IEEE Trans. Med. Imaging 17, 357–361 (1998).
[CrossRef] [PubMed]

Takushima, Y.

Talukdar, K. K.

K. K. Talukdar and W. D. Lawing, “Estimation of the parameters of the Rice distribution,” J. Acoust. Soc. Am. 89, 1193–1197 (1991).
[CrossRef]

Willner, A. E.

Wu, X.

Bell Syst. Tech. J. (2)

S. O. Rice, “Mathematical analysis of random noise,” Bell Syst. Tech. J. 23, 282–332 (1944).

S. O. Rice, “Mathematical analysis of random noise,” Bell Syst. Tech. J. 24, 46–156 (1945).

IEEE J. Sel. Top Quantum Electron. (1)

S. J. Savory, “Digital coherent optical receivers: algorithms and subsystems,” IEEE J. Sel. Top Quantum Electron. 16, 1164–1179 (2010).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

T. S. R. Shen, A. P. T. Lau, and G. N. Liu, “OSNR monitoring for higher order modulation formats using asynchronous amplitude histogram,” IEEE Photon. Technol. Lett. 22, 1632–1634 (2010).

IEEE Trans. Med. Imaging (1)

J. Sijbers, A. J. den Dekker, P. Scheunders, and D. V. Dyck, “Maximum-likelihood estimation of Rician distribution parameters,” IEEE Trans. Med. Imaging 17, 357–361 (1998).
[CrossRef] [PubMed]

J. Acoust. Soc. Am. (1)

K. K. Talukdar and W. D. Lawing, “Estimation of the parameters of the Rice distribution,” J. Acoust. Soc. Am. 89, 1193–1197 (1991).
[CrossRef]

J. Mag. Reson. (1)

C. G. Koay and P. J. Basser, “Analytically exact correction scheme for signal extraction from noisy magnitude MR signals,” J. Mag. Reson. 179, 317–322 (2006).
[CrossRef]

Opt. Express (3)

Other (3)

International Telecommunication Union, “Forward error correction for high bit-rate DWDM submarine systems,” ITU-T recommendation G.975.1 (2004).

S. D. Dods and T. B. Anderson, “Optical performance monitoring technique using delay tap asynchronous waveform sampling,” in Optical Fiber Communication/National Fiber Optic Engineers Conference, (OFC/NFOEC) (2006).

J. J. K. O. Ruanaidh and W. J. Fitzgerald, Numerical Bayesian Methods Applied to Signal Processing (Springer-Verlag, 1995).

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