Abstract

A unified framework for phase noise suppression is proposed in this paper, which could be applied in any coherent optical block transmission systems, including coherent optical orthogonal frequency-division multiplexing (CO-OFDM), coherent optical single-carrier frequency-domain equalization block transmission (CO-SCFDE), etc. Based on adaptive modeling of phase noise, unified observation equations for different coherent optical block transmission systems are constructed, which lead to unified phase noise estimation and suppression. Numerical results demonstrate that the proposal is powerful in mitigating laser phase noise.

© 2011 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. H. Takahashi, A. A. Amin, S. L. Jansen, I. Morita, and H. Tanaka, “Highly spectrally efficient DWDM transmission at 7.0 b/s/Hz using 8×65.1-Gb/s coherent PDM-OFDM,” J. Lightwave Technol. 28, 406–414 (2010).
    [CrossRef]
  2. Q. Yang, N. Kaneda, Xiang Liu, S. Chandrasekhar1, W. Shieh, and Y. K. Chen, “Towards real-time implementation of optical OFDM transmission,” OFC2010, paper OMS6 (2010).
  3. K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
    [CrossRef]
  4. K. Ishihara, R. Kudo, T. Kobayashi, A. Sano, Y. Takatori, T. Nakagawa, and Y. Miyamoto, “Frequency-domain equalization for coherent optical transmission systems,” OFC2011, paper OWW4 (2011).
  5. A. Barbieri, G. Colavolpe, T. Foggi, E. Forestieri, and G. Prati, “OFDM vs. single-carrier transmission for 100 Gbps optical communication,” J. Lightwave Technol. 28, 2537–2551 (2010).
    [CrossRef]
  6. S. Zhang, P. Y. Kam, J. Chen, and C. Yu, “Bit-error rate performance of coherent optical M-ary PSK/QAM using decision-aided maximum likelihood phase estimation,” Opt. Express 18, 12088–12103 (2010).
    [CrossRef] [PubMed]
  7. Y. Atzmon and M. Nazarathy, “Laser phase noise in coherent and differential optical transmission revisited in the polar domain,” IEEE Photon. Technol. Lett. 27, 19–21 (2009).
  8. I. Fatadin, D. Ives, and S. J. Savory, “Compensation of frequency offset for differentially encoded 16- and 64-QAM in the presence of laser phase noise,” IEEE Photon. Technol. Lett. 22, 176–178 (2010).
    [CrossRef]
  9. C. Yang, F. Yang, and Z. Wang, “Orthogonal basis expansion-based phase noise estimation and suppression for CO-OFDM systems,” IEEE Photon. Technol. Lett. 22, 51–53 (2010).
    [CrossRef]
  10. C. Yang, F. Yang, and Z. Wang, “Phase noise estimation and mitigation for DCT-based coherent optical OFDM systems,” Opt. Express 17, 17052–17059 (2009).
    [CrossRef] [PubMed]
  11. S. Randel, S. Adhikari, and S. L. Jansen, “Analysis of RF-pilot-based phase noise compensation for coherent optical OFDM systems,” IEEE Photon. Technol. Lett. 22, 1288–1290 (2010).
    [CrossRef]
  12. W. Chung, “A matched filtering approach for phase noise suppression in CO-OFDM systems,” IEEE Photon. Technol. Lett. 22, 1802–1804 (2010).
    [CrossRef]
  13. S. M. Kay, Fundamentals of Statistical Signal Processing, Volume 1: Estimation Theory, (Prentice-Hall PTR, 1993).

2010

I. Fatadin, D. Ives, and S. J. Savory, “Compensation of frequency offset for differentially encoded 16- and 64-QAM in the presence of laser phase noise,” IEEE Photon. Technol. Lett. 22, 176–178 (2010).
[CrossRef]

C. Yang, F. Yang, and Z. Wang, “Orthogonal basis expansion-based phase noise estimation and suppression for CO-OFDM systems,” IEEE Photon. Technol. Lett. 22, 51–53 (2010).
[CrossRef]

S. Randel, S. Adhikari, and S. L. Jansen, “Analysis of RF-pilot-based phase noise compensation for coherent optical OFDM systems,” IEEE Photon. Technol. Lett. 22, 1288–1290 (2010).
[CrossRef]

W. Chung, “A matched filtering approach for phase noise suppression in CO-OFDM systems,” IEEE Photon. Technol. Lett. 22, 1802–1804 (2010).
[CrossRef]

H. Takahashi, A. A. Amin, S. L. Jansen, I. Morita, and H. Tanaka, “Highly spectrally efficient DWDM transmission at 7.0 b/s/Hz using 8×65.1-Gb/s coherent PDM-OFDM,” J. Lightwave Technol. 28, 406–414 (2010).
[CrossRef]

S. Zhang, P. Y. Kam, J. Chen, and C. Yu, “Bit-error rate performance of coherent optical M-ary PSK/QAM using decision-aided maximum likelihood phase estimation,” Opt. Express 18, 12088–12103 (2010).
[CrossRef] [PubMed]

A. Barbieri, G. Colavolpe, T. Foggi, E. Forestieri, and G. Prati, “OFDM vs. single-carrier transmission for 100 Gbps optical communication,” J. Lightwave Technol. 28, 2537–2551 (2010).
[CrossRef]

2009

Y. Atzmon and M. Nazarathy, “Laser phase noise in coherent and differential optical transmission revisited in the polar domain,” IEEE Photon. Technol. Lett. 27, 19–21 (2009).

C. Yang, F. Yang, and Z. Wang, “Phase noise estimation and mitigation for DCT-based coherent optical OFDM systems,” Opt. Express 17, 17052–17059 (2009).
[CrossRef] [PubMed]

2008

K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
[CrossRef]

Adhikari, S.

S. Randel, S. Adhikari, and S. L. Jansen, “Analysis of RF-pilot-based phase noise compensation for coherent optical OFDM systems,” IEEE Photon. Technol. Lett. 22, 1288–1290 (2010).
[CrossRef]

Amin, A. A.

Atzmon, Y.

Y. Atzmon and M. Nazarathy, “Laser phase noise in coherent and differential optical transmission revisited in the polar domain,” IEEE Photon. Technol. Lett. 27, 19–21 (2009).

Barbieri, A.

Chandrasekhar1, S.

Q. Yang, N. Kaneda, Xiang Liu, S. Chandrasekhar1, W. Shieh, and Y. K. Chen, “Towards real-time implementation of optical OFDM transmission,” OFC2010, paper OMS6 (2010).

Chen, J.

Chen, Y. K.

Q. Yang, N. Kaneda, Xiang Liu, S. Chandrasekhar1, W. Shieh, and Y. K. Chen, “Towards real-time implementation of optical OFDM transmission,” OFC2010, paper OMS6 (2010).

Chung, W.

W. Chung, “A matched filtering approach for phase noise suppression in CO-OFDM systems,” IEEE Photon. Technol. Lett. 22, 1802–1804 (2010).
[CrossRef]

Colavolpe, G.

Fatadin, I.

I. Fatadin, D. Ives, and S. J. Savory, “Compensation of frequency offset for differentially encoded 16- and 64-QAM in the presence of laser phase noise,” IEEE Photon. Technol. Lett. 22, 176–178 (2010).
[CrossRef]

Foggi, T.

Forestieri, E.

Ishihara, K.

K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
[CrossRef]

K. Ishihara, R. Kudo, T. Kobayashi, A. Sano, Y. Takatori, T. Nakagawa, and Y. Miyamoto, “Frequency-domain equalization for coherent optical transmission systems,” OFC2011, paper OWW4 (2011).

Ives, D.

I. Fatadin, D. Ives, and S. J. Savory, “Compensation of frequency offset for differentially encoded 16- and 64-QAM in the presence of laser phase noise,” IEEE Photon. Technol. Lett. 22, 176–178 (2010).
[CrossRef]

Jansen, S. L.

S. Randel, S. Adhikari, and S. L. Jansen, “Analysis of RF-pilot-based phase noise compensation for coherent optical OFDM systems,” IEEE Photon. Technol. Lett. 22, 1288–1290 (2010).
[CrossRef]

H. Takahashi, A. A. Amin, S. L. Jansen, I. Morita, and H. Tanaka, “Highly spectrally efficient DWDM transmission at 7.0 b/s/Hz using 8×65.1-Gb/s coherent PDM-OFDM,” J. Lightwave Technol. 28, 406–414 (2010).
[CrossRef]

Kam, P. Y.

Kaneda, N.

Q. Yang, N. Kaneda, Xiang Liu, S. Chandrasekhar1, W. Shieh, and Y. K. Chen, “Towards real-time implementation of optical OFDM transmission,” OFC2010, paper OMS6 (2010).

Kay, S. M.

S. M. Kay, Fundamentals of Statistical Signal Processing, Volume 1: Estimation Theory, (Prentice-Hall PTR, 1993).

Kobayashi, T.

K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
[CrossRef]

K. Ishihara, R. Kudo, T. Kobayashi, A. Sano, Y. Takatori, T. Nakagawa, and Y. Miyamoto, “Frequency-domain equalization for coherent optical transmission systems,” OFC2011, paper OWW4 (2011).

Kudo, R.

K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
[CrossRef]

K. Ishihara, R. Kudo, T. Kobayashi, A. Sano, Y. Takatori, T. Nakagawa, and Y. Miyamoto, “Frequency-domain equalization for coherent optical transmission systems,” OFC2011, paper OWW4 (2011).

Liu, Xiang

Q. Yang, N. Kaneda, Xiang Liu, S. Chandrasekhar1, W. Shieh, and Y. K. Chen, “Towards real-time implementation of optical OFDM transmission,” OFC2010, paper OMS6 (2010).

Masuda, H.

K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
[CrossRef]

Miyamoto, Y.

K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
[CrossRef]

K. Ishihara, R. Kudo, T. Kobayashi, A. Sano, Y. Takatori, T. Nakagawa, and Y. Miyamoto, “Frequency-domain equalization for coherent optical transmission systems,” OFC2011, paper OWW4 (2011).

Morita, I.

Nakagawa, T.

K. Ishihara, R. Kudo, T. Kobayashi, A. Sano, Y. Takatori, T. Nakagawa, and Y. Miyamoto, “Frequency-domain equalization for coherent optical transmission systems,” OFC2011, paper OWW4 (2011).

Nazarathy, M.

Y. Atzmon and M. Nazarathy, “Laser phase noise in coherent and differential optical transmission revisited in the polar domain,” IEEE Photon. Technol. Lett. 27, 19–21 (2009).

Prati, G.

Randel, S.

S. Randel, S. Adhikari, and S. L. Jansen, “Analysis of RF-pilot-based phase noise compensation for coherent optical OFDM systems,” IEEE Photon. Technol. Lett. 22, 1288–1290 (2010).
[CrossRef]

Sano, A.

K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
[CrossRef]

K. Ishihara, R. Kudo, T. Kobayashi, A. Sano, Y. Takatori, T. Nakagawa, and Y. Miyamoto, “Frequency-domain equalization for coherent optical transmission systems,” OFC2011, paper OWW4 (2011).

Savory, S. J.

I. Fatadin, D. Ives, and S. J. Savory, “Compensation of frequency offset for differentially encoded 16- and 64-QAM in the presence of laser phase noise,” IEEE Photon. Technol. Lett. 22, 176–178 (2010).
[CrossRef]

Shieh, W.

Q. Yang, N. Kaneda, Xiang Liu, S. Chandrasekhar1, W. Shieh, and Y. K. Chen, “Towards real-time implementation of optical OFDM transmission,” OFC2010, paper OMS6 (2010).

Takahashi, H.

Takatori, Y.

K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
[CrossRef]

K. Ishihara, R. Kudo, T. Kobayashi, A. Sano, Y. Takatori, T. Nakagawa, and Y. Miyamoto, “Frequency-domain equalization for coherent optical transmission systems,” OFC2011, paper OWW4 (2011).

Tanaka, H.

Wang, Z.

C. Yang, F. Yang, and Z. Wang, “Orthogonal basis expansion-based phase noise estimation and suppression for CO-OFDM systems,” IEEE Photon. Technol. Lett. 22, 51–53 (2010).
[CrossRef]

C. Yang, F. Yang, and Z. Wang, “Phase noise estimation and mitigation for DCT-based coherent optical OFDM systems,” Opt. Express 17, 17052–17059 (2009).
[CrossRef] [PubMed]

Yamada, E.

K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
[CrossRef]

Yang, C.

C. Yang, F. Yang, and Z. Wang, “Orthogonal basis expansion-based phase noise estimation and suppression for CO-OFDM systems,” IEEE Photon. Technol. Lett. 22, 51–53 (2010).
[CrossRef]

C. Yang, F. Yang, and Z. Wang, “Phase noise estimation and mitigation for DCT-based coherent optical OFDM systems,” Opt. Express 17, 17052–17059 (2009).
[CrossRef] [PubMed]

Yang, F.

C. Yang, F. Yang, and Z. Wang, “Orthogonal basis expansion-based phase noise estimation and suppression for CO-OFDM systems,” IEEE Photon. Technol. Lett. 22, 51–53 (2010).
[CrossRef]

C. Yang, F. Yang, and Z. Wang, “Phase noise estimation and mitigation for DCT-based coherent optical OFDM systems,” Opt. Express 17, 17052–17059 (2009).
[CrossRef] [PubMed]

Yang, Q.

Q. Yang, N. Kaneda, Xiang Liu, S. Chandrasekhar1, W. Shieh, and Y. K. Chen, “Towards real-time implementation of optical OFDM transmission,” OFC2010, paper OMS6 (2010).

Yu, C.

Zhang, S.

Electron. Lett.

K. Ishihara, T. Kobayashi, R. Kudo, Y. Takatori, A. Sano, E. Yamada, H. Masuda, and Y. Miyamoto, “Frequency-domain equalization for optical transmission systems,” Electron. Lett. 44, 870–871 (2008).
[CrossRef]

IEEE Photon. Technol. Lett.

Y. Atzmon and M. Nazarathy, “Laser phase noise in coherent and differential optical transmission revisited in the polar domain,” IEEE Photon. Technol. Lett. 27, 19–21 (2009).

I. Fatadin, D. Ives, and S. J. Savory, “Compensation of frequency offset for differentially encoded 16- and 64-QAM in the presence of laser phase noise,” IEEE Photon. Technol. Lett. 22, 176–178 (2010).
[CrossRef]

C. Yang, F. Yang, and Z. Wang, “Orthogonal basis expansion-based phase noise estimation and suppression for CO-OFDM systems,” IEEE Photon. Technol. Lett. 22, 51–53 (2010).
[CrossRef]

S. Randel, S. Adhikari, and S. L. Jansen, “Analysis of RF-pilot-based phase noise compensation for coherent optical OFDM systems,” IEEE Photon. Technol. Lett. 22, 1288–1290 (2010).
[CrossRef]

W. Chung, “A matched filtering approach for phase noise suppression in CO-OFDM systems,” IEEE Photon. Technol. Lett. 22, 1802–1804 (2010).
[CrossRef]

J. Lightwave Technol.

Opt. Express

Other

Q. Yang, N. Kaneda, Xiang Liu, S. Chandrasekhar1, W. Shieh, and Y. K. Chen, “Towards real-time implementation of optical OFDM transmission,” OFC2010, paper OMS6 (2010).

K. Ishihara, R. Kudo, T. Kobayashi, A. Sano, Y. Takatori, T. Nakagawa, and Y. Miyamoto, “Frequency-domain equalization for coherent optical transmission systems,” OFC2011, paper OWW4 (2011).

S. M. Kay, Fundamentals of Statistical Signal Processing, Volume 1: Estimation Theory, (Prentice-Hall PTR, 1993).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Schematic diagrams of DFT based CO-OFDM and CO-SCFDE system.

Fig. 2
Fig. 2

Block diagram of the proposed phase noise suppression.

Fig. 3
Fig. 3

Signal flow chart for the proposed phase noise suppression with channel compensation.

Fig. 4
Fig. 4

OSNR penalty vs. laser linewidth for different phase noise suppression algorithms in the CO-SCFDE system with BER=10−4.

Fig. 5
Fig. 5

OSNR penalty vs. laser linewidth for different phase noise suppression algorithms in the CO-OFDM system with BER=10−4.

Tables (1)

Tables Icon

Table 1 T i , Ai (m, n), and R i for Two Different Transmission Schemes

Equations (24)

Equations on this page are rendered with MathJax. Learn more.

r i = Φ i T i a i + w i ,
Φ i = diag ( [ e j ϕ i ( 0 ) e j ϕ i ( 1 ) e j ϕ i ( N 1 ) ] T ) ,
f m = 1 N [ 1 e j 2 π N m e j 2 π ( N 1 ) N m ] T ,
r i = Φ i A i h + w i ,
Φ 1 = e j ϕ ¯ 1 .
h ^ s = ( A 1 H A 1 ) 1 A 1 H r 1 ,
Ψ i = B Γ i ,
Φ i 1 = Φ i * ,
a i = T i 1 diag ( r i ) B * Γ i * + ɛ i ,
a i p = S a i ,
S = [ e k 0 e k 1 e k M 1 ] T ,
a i p = S T i 1 diag ( r i ) B * Γ i * + ɛ i p ,
ϒ = F H HF ,
H = diag ( [ H ( 0 ) H ( 1 ) H ( N 1 ) ] T )
Λ = e j ϕ ¯ 1 H ,
a i p = S R i diag ( r i ) B * Δ Γ i + ɛ i p ,
Δ Γ ^ i = arg min Δ Γ i ɛ i p 2 = ( C i H C i ) 1 C i H a i p ,
C i = S R i diag ( r i ) B * .
z i = R i diag ( r i ) B * Δ Γ ^ i .
a ^ i = Q ( z i ) ,
Δ Γ ^ i = ( C ˜ i H C ˜ i ) 1 C ˜ i H a ^ i ,
C ˜ i = R i diag ( r i ) B d * ,
z i = Λ 1 r i ,
r i = ( Φ x , i 0 0 Φ y , i ) ( T x x , i T x y , i T y x , i T y y , i ) ( a x , i a y , i ) + ( w x , i w y , i ) ,

Metrics