Abstract

An algorithm for WDM channel allocation, based on the concept of Optimal Golomb Ruler (OGR), is proposed. This algorithm enhances system performance by locating an allocation set, where the degradation caused by the effects of interchannel interference and Four-Wave Mixing (FWM) is minimal. Two sets of simulation were performed on an 8×10Gbps-channel system (channel spacing of 50GHz for equally spaced allocation), with 50% pre-allocated bandwidth using non-zero dispersion-shifted fibers with dispersion of 3 and 6ps/nm.km at 1550nm. Results showed BER improvement of 1.75 and 0.97 for the 3 and 6ps/nm.km simulations respectively. This improvement is significant, considering the fact that no additional cost (bandwidth) was incurred, unlike existing unequally spaced channel allocation methods.

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. K. Inoue, “Experimental study on channel crosstalk due to fiber four-wave mixing around the zero-dispersion wavelength,” J. Lightwave Technol. 12, 1023–1028 (1994)
    [Crossref]
  2. W. C. Kwong, G. C. Yang, and K. D. Chang, “Locating FWM Crosstalks in High-Capacity WDM Lightwave Systems,” IEEE International Conference on Communications 3, 726–730, ICC (2001)
  3. W. C. Kwong and G. C. Yang, “An Algebraic Approach to the Unequal-Spaced Channel-Allocation Problem in WDM Lightwave Systems,” IEEE Trans. Commun. 45, (1997)
    [Crossref]
  4. H.P. Sardesai, “A simple channel plan to reduce effects of nonlinearities in dense WDM systems,” Conference on Lasers and Electro-Optics, CLEO (Optical Society of America, Washington, DC, 1999) pp. 183–184
  5. W. C. Kwong and G. C. Yang, “Allocation of unequal-spaced channels in WDM lightwave systems,” Electron. Lett. 31, (1995)
    [Crossref]
  6. F. Forghieri, R. W. Tkach, A. R. Chraplyvy, and D. Marcuse, “Reduction of Four-Wave Mixing Crosstalk in WDM Systems Using Unequally Spaced Channels,” IEEE Photon. Technol. Lett. 6, (1994)
    [Crossref]
  7. F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, “WDM Systems with Unequally Spaced Channels,” J. Lightwave Technol. 13, (1995)
    [Crossref]
  8. B. Hwang and O. K. Tonguz, “A Generalized Suboptimum Unequally Spaced Channel Allocation Technique - Part I: In IM/DD WDM Systems,” IEEE Trans. Commun. 46, (1998)
  9. M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617 (1986)
    [Crossref]
  10. J. B. Shearer, “Some New Disjoint Golomb Rulers,” IEEE Trans. Inf. Theory 44, 3151–3153 (1998)
    [Crossref]
  11. A. Dollas, W. T. Rankin, and D. McCracken, “A New Algorithm for Golomb Ruler Derivation and Proof of the 19 Mark Ruler,” IEEE Trans. Inf. Theory 44, 379–382 (1998)
    [Crossref]
  12. M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617, June 1986
    [Crossref]
  13. J. Singer, “A theorem in finite projective geometry and some applications to number theory,” Transactions American Mathematical Society 43, 377–385 (1938)
    [Crossref]

2001 (1)

W. C. Kwong, G. C. Yang, and K. D. Chang, “Locating FWM Crosstalks in High-Capacity WDM Lightwave Systems,” IEEE International Conference on Communications 3, 726–730, ICC (2001)

1998 (3)

B. Hwang and O. K. Tonguz, “A Generalized Suboptimum Unequally Spaced Channel Allocation Technique - Part I: In IM/DD WDM Systems,” IEEE Trans. Commun. 46, (1998)

J. B. Shearer, “Some New Disjoint Golomb Rulers,” IEEE Trans. Inf. Theory 44, 3151–3153 (1998)
[Crossref]

A. Dollas, W. T. Rankin, and D. McCracken, “A New Algorithm for Golomb Ruler Derivation and Proof of the 19 Mark Ruler,” IEEE Trans. Inf. Theory 44, 379–382 (1998)
[Crossref]

1997 (1)

W. C. Kwong and G. C. Yang, “An Algebraic Approach to the Unequal-Spaced Channel-Allocation Problem in WDM Lightwave Systems,” IEEE Trans. Commun. 45, (1997)
[Crossref]

1995 (2)

W. C. Kwong and G. C. Yang, “Allocation of unequal-spaced channels in WDM lightwave systems,” Electron. Lett. 31, (1995)
[Crossref]

F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, “WDM Systems with Unequally Spaced Channels,” J. Lightwave Technol. 13, (1995)
[Crossref]

1994 (2)

K. Inoue, “Experimental study on channel crosstalk due to fiber four-wave mixing around the zero-dispersion wavelength,” J. Lightwave Technol. 12, 1023–1028 (1994)
[Crossref]

F. Forghieri, R. W. Tkach, A. R. Chraplyvy, and D. Marcuse, “Reduction of Four-Wave Mixing Crosstalk in WDM Systems Using Unequally Spaced Channels,” IEEE Photon. Technol. Lett. 6, (1994)
[Crossref]

1986 (1)

M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617 (1986)
[Crossref]

1938 (1)

J. Singer, “A theorem in finite projective geometry and some applications to number theory,” Transactions American Mathematical Society 43, 377–385 (1938)
[Crossref]

Atkinson, M. D.

M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617, June 1986
[Crossref]

M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617 (1986)
[Crossref]

Chang, K. D.

W. C. Kwong, G. C. Yang, and K. D. Chang, “Locating FWM Crosstalks in High-Capacity WDM Lightwave Systems,” IEEE International Conference on Communications 3, 726–730, ICC (2001)

Chraplyvy, A. R.

F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, “WDM Systems with Unequally Spaced Channels,” J. Lightwave Technol. 13, (1995)
[Crossref]

F. Forghieri, R. W. Tkach, A. R. Chraplyvy, and D. Marcuse, “Reduction of Four-Wave Mixing Crosstalk in WDM Systems Using Unequally Spaced Channels,” IEEE Photon. Technol. Lett. 6, (1994)
[Crossref]

Dollas, A.

A. Dollas, W. T. Rankin, and D. McCracken, “A New Algorithm for Golomb Ruler Derivation and Proof of the 19 Mark Ruler,” IEEE Trans. Inf. Theory 44, 379–382 (1998)
[Crossref]

Forghieri, F.

F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, “WDM Systems with Unequally Spaced Channels,” J. Lightwave Technol. 13, (1995)
[Crossref]

F. Forghieri, R. W. Tkach, A. R. Chraplyvy, and D. Marcuse, “Reduction of Four-Wave Mixing Crosstalk in WDM Systems Using Unequally Spaced Channels,” IEEE Photon. Technol. Lett. 6, (1994)
[Crossref]

Hwang, B.

B. Hwang and O. K. Tonguz, “A Generalized Suboptimum Unequally Spaced Channel Allocation Technique - Part I: In IM/DD WDM Systems,” IEEE Trans. Commun. 46, (1998)

Inoue, K.

K. Inoue, “Experimental study on channel crosstalk due to fiber four-wave mixing around the zero-dispersion wavelength,” J. Lightwave Technol. 12, 1023–1028 (1994)
[Crossref]

Kwong, W. C.

W. C. Kwong, G. C. Yang, and K. D. Chang, “Locating FWM Crosstalks in High-Capacity WDM Lightwave Systems,” IEEE International Conference on Communications 3, 726–730, ICC (2001)

W. C. Kwong and G. C. Yang, “An Algebraic Approach to the Unequal-Spaced Channel-Allocation Problem in WDM Lightwave Systems,” IEEE Trans. Commun. 45, (1997)
[Crossref]

W. C. Kwong and G. C. Yang, “Allocation of unequal-spaced channels in WDM lightwave systems,” Electron. Lett. 31, (1995)
[Crossref]

Marcuse, D.

F. Forghieri, R. W. Tkach, A. R. Chraplyvy, and D. Marcuse, “Reduction of Four-Wave Mixing Crosstalk in WDM Systems Using Unequally Spaced Channels,” IEEE Photon. Technol. Lett. 6, (1994)
[Crossref]

McCracken, D.

A. Dollas, W. T. Rankin, and D. McCracken, “A New Algorithm for Golomb Ruler Derivation and Proof of the 19 Mark Ruler,” IEEE Trans. Inf. Theory 44, 379–382 (1998)
[Crossref]

Rankin, W. T.

A. Dollas, W. T. Rankin, and D. McCracken, “A New Algorithm for Golomb Ruler Derivation and Proof of the 19 Mark Ruler,” IEEE Trans. Inf. Theory 44, 379–382 (1998)
[Crossref]

Santoro, N.

M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617, June 1986
[Crossref]

M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617 (1986)
[Crossref]

Sardesai, H.P.

H.P. Sardesai, “A simple channel plan to reduce effects of nonlinearities in dense WDM systems,” Conference on Lasers and Electro-Optics, CLEO (Optical Society of America, Washington, DC, 1999) pp. 183–184

Shearer, J. B.

J. B. Shearer, “Some New Disjoint Golomb Rulers,” IEEE Trans. Inf. Theory 44, 3151–3153 (1998)
[Crossref]

Singer, J.

J. Singer, “A theorem in finite projective geometry and some applications to number theory,” Transactions American Mathematical Society 43, 377–385 (1938)
[Crossref]

Tkach, R. W.

F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, “WDM Systems with Unequally Spaced Channels,” J. Lightwave Technol. 13, (1995)
[Crossref]

F. Forghieri, R. W. Tkach, A. R. Chraplyvy, and D. Marcuse, “Reduction of Four-Wave Mixing Crosstalk in WDM Systems Using Unequally Spaced Channels,” IEEE Photon. Technol. Lett. 6, (1994)
[Crossref]

Tonguz, O. K.

B. Hwang and O. K. Tonguz, “A Generalized Suboptimum Unequally Spaced Channel Allocation Technique - Part I: In IM/DD WDM Systems,” IEEE Trans. Commun. 46, (1998)

Urrutia, J.

M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617, June 1986
[Crossref]

M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617 (1986)
[Crossref]

Yang, G. C.

W. C. Kwong, G. C. Yang, and K. D. Chang, “Locating FWM Crosstalks in High-Capacity WDM Lightwave Systems,” IEEE International Conference on Communications 3, 726–730, ICC (2001)

W. C. Kwong and G. C. Yang, “An Algebraic Approach to the Unequal-Spaced Channel-Allocation Problem in WDM Lightwave Systems,” IEEE Trans. Commun. 45, (1997)
[Crossref]

W. C. Kwong and G. C. Yang, “Allocation of unequal-spaced channels in WDM lightwave systems,” Electron. Lett. 31, (1995)
[Crossref]

Electron. Lett. (1)

W. C. Kwong and G. C. Yang, “Allocation of unequal-spaced channels in WDM lightwave systems,” Electron. Lett. 31, (1995)
[Crossref]

IEEE International Conference on Communications (1)

W. C. Kwong, G. C. Yang, and K. D. Chang, “Locating FWM Crosstalks in High-Capacity WDM Lightwave Systems,” IEEE International Conference on Communications 3, 726–730, ICC (2001)

IEEE Photon. Technol. Lett. (1)

F. Forghieri, R. W. Tkach, A. R. Chraplyvy, and D. Marcuse, “Reduction of Four-Wave Mixing Crosstalk in WDM Systems Using Unequally Spaced Channels,” IEEE Photon. Technol. Lett. 6, (1994)
[Crossref]

IEEE Trans. Commun. (4)

W. C. Kwong and G. C. Yang, “An Algebraic Approach to the Unequal-Spaced Channel-Allocation Problem in WDM Lightwave Systems,” IEEE Trans. Commun. 45, (1997)
[Crossref]

B. Hwang and O. K. Tonguz, “A Generalized Suboptimum Unequally Spaced Channel Allocation Technique - Part I: In IM/DD WDM Systems,” IEEE Trans. Commun. 46, (1998)

M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617 (1986)
[Crossref]

M. D. Atkinson, N. Santoro, and J. Urrutia, “Integer sets with distinct sums and differences and carrier frequency assignments for nonlinear repeaters,” IEEE Trans. Commun. Com-34, 614–617, June 1986
[Crossref]

IEEE Trans. Inf. Theory (2)

J. B. Shearer, “Some New Disjoint Golomb Rulers,” IEEE Trans. Inf. Theory 44, 3151–3153 (1998)
[Crossref]

A. Dollas, W. T. Rankin, and D. McCracken, “A New Algorithm for Golomb Ruler Derivation and Proof of the 19 Mark Ruler,” IEEE Trans. Inf. Theory 44, 379–382 (1998)
[Crossref]

J. Lightwave Technol. (2)

F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, “WDM Systems with Unequally Spaced Channels,” J. Lightwave Technol. 13, (1995)
[Crossref]

K. Inoue, “Experimental study on channel crosstalk due to fiber four-wave mixing around the zero-dispersion wavelength,” J. Lightwave Technol. 12, 1023–1028 (1994)
[Crossref]

Transactions American Mathematical Society (1)

J. Singer, “A theorem in finite projective geometry and some applications to number theory,” Transactions American Mathematical Society 43, 377–385 (1938)
[Crossref]

Other (1)

H.P. Sardesai, “A simple channel plan to reduce effects of nonlinearities in dense WDM systems,” Conference on Lasers and Electro-Optics, CLEO (Optical Society of America, Washington, DC, 1999) pp. 183–184

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 (2)

Fig. 1.
Fig. 1.

Simulation on length increase with 3ps/nm.km dispersion

Fig. 2.
Fig. 2.

Simulation on length increase with 6ps/nm.km dispersion

Tables (2)

Tables Icon

Table 1. BER values for simulation with 3ps/nm.km dispersion

Tables Icon

Table 2. BER values for simulation with 6ps/nm.km dispersion

Equations (3)

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

f ijk = f i + f j - f k for i , j , k [ 1 , N ] and k { i , j }
Channel N frequency = Channel ( N-1 ) frequency + Initial Channel Spacing + ( N th element of modified OGR vector Sum of elements ) x Post-allocate Bandwidth
BER Improvement Factor = log ( BER Old BER New )

Metrics