Phase noise analysis of clock recovery based on an optoelectronic phase-locked loop

Journal of Lightwave Technology

Volumn 25, Issue 3, 2007, Pages 901-914

  Zibar, Darko ^a   Mørk, Jesper ^a   Oxenløwe, Leif Katsuo ^a   Clausen, Anders T ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Clock recovery (CR); Optical time division multiplexing (OTDM); Optoelectronic phase locked loop (OPLL); Oscillator noise; Phase noise; Stochastic differential equations; Time delay; Timing jitter

Indexed keywords

DIFFERENTIAL EQUATIONS; OPTICAL SYSTEMS; OPTOELECTRONIC DEVICES; PHASE NOISE; RANDOM PROCESSES; TIME DIVISION MULTIPLEXING; TIMING JITTER; VARIABLE FREQUENCY OSCILLATORS;

CLOCK RECOVERY; OPTICAL TIME DIVISION MULTIPLEXING (OTDM); OPTOELECTRONIC PHASE-LOCKED LOOP (OPLL); OSCILLATOR NOISE; STOCHASTIC DIFFERENTIAL EQUATIONS;

PHASE LOCKED LOOPS;

EID: 34247097105     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2006.890433     Document Type: Article

References (39)

1. W. C. Lindsey, Synchronization Systems in Communication and Control Englewood Cliffs, NJ: Prentice-Hall, 1972.
2. F. M. Gardner, Phaselock Teschnique. New York: Wiley, 2005.
3. R. E. Best, Phase-Locked Loops. New York: McGraw-Hill, 1984.
4. J. Klapper and J. T. Frankle, Phase-Locked and Frequency-Feedback Systems. New York: Academic, 1972.
5. D. O. Pederson and K. Mayaram, Analog Integrated Circuits for Communication. Boston, MA: Kluwer, 1991, ch. 12-14.
6. M. Mansuri and C. K. Yang, "Jitter optimazation on phase-locked loop design parameters," IEEE J. Solid-State Circuits, vol. 37, no. 11, pp. 1375-1382, Nov. 2002.
7. A. Mehrotra, "Noise analysis of phase-locked loops," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 9, pp. 1309-1316, Sep. 2002.
8. B. Razavi, Monolithic Phase-Locked Loops and Clock Recovery Circuits Piscataway, NJ: IEEE Press, 1992.
9. K. Osamu and K. Satoki, "Prescaled timing extraction from 400 Gb/s optical signal using a phase lock loop based on four-wave-mixing in a laser diode amplifier," J. Lightw. Technol., vol. 8, no. 8, pp. 1094-1096, Aug. 1996.
10. K. Osamu and K. Satoki, "Ultrahigh-speed clock recovery circuit based on four wave mixing in a traveling-wave diode amplifier," J. Lightw. Technol., vol. 11, no. 12, pp. 1757-1767, Aug. 1996.
11. D. Tong, B. Mikkelsen, G. Raybon, T. N. Nielsen, F. K. Dreyer, and J. E. Johnson, "Optoelectronic phase-locked loop with balanced photodetection for clock recovery in high-speed optical time-division-multiplexing systems," IEEE Photon. Technol. Lett., vol. 12, no. 8, pp. 1064-1066, Aug. 2000.
12. L. Oxenløwe, C. Schubert, C. Shmidt, E. Hilliger, J. Berger, U. Feiste, R. Ludwig, and H. G. Weber, "Optical clock recovery employing an optical PLL using cross-phase modulation in a Sagnac-interferometer," presented at the IEEE Conf. Lasers and Electro-Optics (CLEO), Baltimore, MD, 2001.
13. S. Kawanishi, H. Takara, K. Uchiyama, I. Shake, and K. Mori, "3 Tb/s (160 Gb/s/spl times/19 ch) OTDM/WDM transmission experiment," presented at the IEEE Optical Fiber Commun. Conf. (OFC), Nice, France, 1999, Paper ThA3.
14. S. Kawanishi, H. Takara, M. Saruwatari, and N. Kioth, "Ultra-high speed phasedlocked-loop-type clock recovery circuit using a traveling-wave laser diode amplifier as a 50 GHz phase detector," Electron. Lett. vol. 29, no. 19, pp.769-771, Sep. 1995.
15. T. Yamamoto, U. Feiste, J. Berger, C. Schubert, C. Schmidt, R. Ludwig, and H. G. Weber, "160 Gb/s demultiplexer with clock recovery using SOA-based interferometric switches and its application to 120 km fiber transmission," presented at the Eur. Conf. Optical Commun. (ECOC), Amsterdam, The Netherlands, 2001, Paper Tu.L.2.6.
16. L. K. Oxenløwe, A. I. Siahlo, K. S. Berg, A. T. Clausen, B. M. Sørensen, K. Yvind, and P. Jeppesen, "A novel 160 Gb/s receiver configuration including a glass crystal pulsed laser, photonoc crystal fiber and a simple clock recovery scheme," presented at the Fur. Conf. Optical Commun. (ECOC), Rintim, Italy, 2003, Paper Th2.5.3.
17. E. Hashimoto, A. Takada, and Y. Katagiri, "High-frequency synchronized signal generation using senticonductor lasers," IEEE Trans. Microw. Theory Tech., vol. 47, no. 7, pp. 1206-1218, Jul. 1999.
18. C. M. DePriest, T. Yilmaz, A. Braun, J. Abeles, and P. J. Delfyett, "High-quality photonic sampling stream from a semiconductor diode ring laser," IEEE J. Quantum Electron., vol. 38, no. 4, pp. 380-389, Apr. 2002.
19. D. J. Jones, K. W. Holman, M. Notcutt, J. Ye, J. Chandalia, L. A. Jiang, E. Ippen, and H. Yokoyama, "Ultralow-jitter, 1550-nm mode-locked semiconductor laser synchronized to a visible optical frequency standard," Opt. Lett., vol. 28, no. 10, pp. 813-815, May 2003.
20. K.-P. Ho and J. M. Kahn, "Electronic compensation to mitigate nonlinear phase noise," J. Lightw. Technol., vol. 22, no. 3, pp. 779-783, Mar. 2004.
21. M. A. Grant, W. C. Michie, and M. J. Fletcher, "The performance of optical phase-locked loops in the presence of nonnegligible loop propagation delay," J. Lightw. Technol., vol. LT-5, no. 4, pp. 592-597, Apr. 1987.
22. D. Zibar, L. K. Oxenløwe, A. T. Clausen, J. Mørk, and P. Jeppesen, "Analysis of the effects of time delay in clock recovery circuits based on phase-locked loops," presented at the IEEE Laser Electro Optics Society (LEOS), Rio Grande, Puerto Rico, 2004, Paper TuR4.
23. C. W. Gardiner, Handbook of Stochastic Methods, Springer-Verlag, Berlin, Germany, 1983.
24. M. Nakazawa, T. Yamamoto, and K. R. Tamura, "1.28 Tb/s-70 km OTDM transmission using third and fourth order simultaneous dispersion compensation with a phase modulator," Electron. Lett., vol. 36, no. 24, pp. 2027-2029, Nov. 2000.
25. A. Demir, "Analysis and simulations of noise in nonlinear electronic circuits and systems," Ph.D. dissertation, Univ. California, Berkeley, CA, 1997.
26. A. Demir, A. Mehrotra, and J. Roychowdhury, "Phase noise in oscillators: A unifying theory and numerical methods for characterization," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 5, pp. 655-674, May 2000.
27. K. Yvind, "Semiconductor mode-locked lasers for optical communication systems," Ph.D. dissertation, Res. Centre COM, Tech. Univ. Denmark, Lyngby, Denmark, 2003.
28. D. Larsson, K. Yvind, and J. M. Hvam, "Wide-band residual phasenoise measurements on 40-GHz monolithic mode-locked lasers," IEEE Photon. Technol. Lett., vol. 17, no. 11, pp. 2388-2390, Nov. 2005.
29. A. M. Braun, V. B. Khalfin, M. H. Kwakernaak, W. F. Reichert, L. A. DiMarco, Z. A. Schellenberger, C. M. DePriest, T. Yilmaz, P. J. Delfyett, and J. H. Abeles, "Universality of model-locked jitter performance," IEEE Photon. Technol. Lett., vol. 14, no. 8, pp. 1058-1060, Aug. 2002.
30. A. T. Clausen, H. N. Poulsen, L. K. Oxenløwe, A. Siahlo, J. Seone, and P. Jeppesen, "Pulse Source Requirements for OTDM Systems,presented at the Laser Electro Optics Society (LEOS) Conf., Tucson, AZ, 2003, Paper TyY2.
31. J. Buckwalter and Y. A. Robert, "Time delay considerations in high-frequency phase-locked loops," presented at the Radio Frequency Integrated Circuits Symp., Seattle, WA, 2002, Paper M03D-5.
32. A. Papoulis, Probability, Random Variables and Stochastic Processes 3rd ed. New York: McGraw-Hill, 1991.
33. H. Risken, The Fokker-Planck Equation, 2nd ed. New York: Springer Verlag, 1989.
34. L. K. Oxenløwe, A. I. Siahlo, K. S. Berg, A. T. Clausen, K. Yvind, B. M. Sørensen, and P. Jeppesen, "Pre-scaled clock recovery with compact semiconductor devices for ultra high-speed OTDM systems," presented at the IEEE Eur. Conf. Optical Commun. (ECOC), Stockholm, Sweden, 2004, Paper We3.5.2.
35. D. Zibar, L. K. Oxenløwe, A. T. Clausen, and J. Mørk, "Theoretical and experimental investigation of a balanced phase-locked loop based clock recovery at a bit rate of 160 Gb/s," presented at the IEEE Laser Electro Optics Soc. (LEOS) Conf., Tucson, AZ, 2003, Paper TuY5.
36. J. Lasri, P. Devgan, R. Tong, and P. Kumar, "Ultralow timing jitter 40 Gb/s clock recovery using self-starting optoelectronic oscillator," IEEE Photon. Technol. Lett., vol. 16, no. 1, pp. 263-265, Jan. 2004.
37. L. K. Oxenløwe, L. J. Christiansen, D. Larsson, K. Yvind, A. T. Clausen, J. Seone, A. Siahlo, B. M. Sørensen, and P. Jeppesen, "Lowjitter prescaled clock recovery with compact semiconductor components for ultra high-speed OTDM systems," in Proc. IEEE OECC Yokohama, Japan, 2004, pp. 888-889.
38. D. Zibar, L. K. Oxenløwe, J. Mørk, M. P. Sørensen, M. Galili, A. T. Clausen, B. Sørensen, and P. Jeppesen, "Detailed modelling and experimental characterisation of an ultra-fast optoelectronic clock recovery circuit," presented at the IEEE Eur. Conf. Optical Commun. (ECOC), Glasgow, U.K., 2005, Paper We4.P.111.
39. D. von der Linde, "Characterization of the noise in continuously operating mode-locked laser," Appl. Phys. B, Photophys. Laser Chem. vol. 4, no. 201, pp. 201-217, 1986. B(39).