## Channel allocation algorithm for WDM systems

Optics Express, Vol. 11, Issue 11, pp. 1322-1327 (2003)

http://dx.doi.org/10.1364/OE.11.001322

Acrobat PDF (90 KB)

### 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

## 1. Introduction

_{i}, f

_{j}, and f

_{k}, the new frequencies f

_{ijk}generated by FWM [1

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}(N-1)/2 new optical signals. Some of these new frequencies fall onto the N original channels, while others are found in other new frequency locations. Those FWM signals, which overlap with the original ones, are considered as crosstalk and will interfere with the normal operation of the WDM channels.

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]

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]

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]

## 2. Fractional OGR based WDM channel allocation algorithm

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]

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]

## 3. Simulation

## 4. Conclusion

## References and links

1. | K. Inoue, “Experimental study on channel crosstalk due to fiber four-wave mixing around the zero-dispersion wavelength,” J. Lightwave Technol. |

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. | W. C. Kwong and G. C. Yang, “An Algebraic Approach to the Unequal-Spaced Channel-Allocation Problem in WDM Lightwave Systems,” IEEE Trans. Commun. |

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. |

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. |

7. | F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, “WDM Systems with Unequally Spaced Channels,” J. Lightwave Technol. |

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. |

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. |

10. | J. B. Shearer, “Some New Disjoint Golomb Rulers,” IEEE Trans. Inf. Theory |

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 |

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. |

13. | J. Singer, “A theorem in finite projective geometry and some applications to number theory,” Transactions American Mathematical Society |

**OCIS Codes**

(060.4510) Fiber optics and optical communications : Optical communications

(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing

**ToC Category:**

Research Papers

**History**

Original Manuscript: April 10, 2003

Revised Manuscript: May 22, 2003

Published: June 2, 2003

**Citation**

Vrizlynn Thing, P. Shum, and M. Rao, "Channel allocation algorithm for WDM systems," Opt. Express **11**, 1322-1327 (2003)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-11-1322

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### References

- 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]
- 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]
- 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
- 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, 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]
- F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, "WDM Systems with Unequally Spaced Channels," J. Lightwave Technol. 13, (1995) [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]
- 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]
- 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]
- J. Singer, "A theorem in finite projective geometry and some applications to number theory," Transactions American Mathematical Society 43, 377-385 (1938) [CrossRef]

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