The spectrum of a noisy free-running oscillator explained by random frequency pulling

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 57, Issue 3, 2010, Pages 642-653

  Mirzaei, Ahmad ^a   Abidi, Asad A ^b  

^a BROADCOM CORPORATION   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Adler's equation; Frequency pulling; Generalized Adler's equation; Injection locking; Lorentzian; Multiple injection; Oscillator; Phase noise; Spectral density; Spectrum; Voltage controlled oscillator (VCO)

Indexed keywords

CIRCUIT OSCILLATIONS; DIFFERENTIAL EQUATIONS; OSCILLATORS (ELECTRONIC); OSCILLISTORS; PHASE NOISE; SPECTRAL DENSITY; VARIABLE FREQUENCY OSCILLATORS;

ADLER'S EQUATION; FREQUENCY PULLING; GENERALIZED ADLER'S EQUATION; INJECTION-LOCKING; LORENTZIAN; MULTIPLE INJECTIONS; SPECTRUM;

WHITE NOISE;

EID: 77949356564     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2009.2024970     Document Type: Article

References (29)

1. D. Leeson, "A simple model of feedback oscillator noise spectrum," Proc. IEEE, vol.54, no.2, pp. 329-330, Feb. 1966.
2. J. Craninckx and M. Steyaert, "Low-noise voltage-controlled oscillators using enhanced LC-tanks," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol.42, no.12, pp. 794-804, Dec. 1995.
3. A. Hajimiri and T. Lee, "A general theory of phase noise in electrical oscillators," IEEE J. Solid-State Circuits, vol.33, no.2, pp. 179-194, Feb. 1998.
4. P. Andreani, X.Wang, L.Vandi, and A. Fard, "A study of phase noise in Colpitts and LC-tank CMOS oscillators," IEEE J. Solid-State Circuits, vol.40, no.5, pp. 1107-1118, May 2005.
5. C. Samori, A. Lacaita, F. Villa, and F. Zappa, "Spectrum folding and phase noise in LC tuned oscillators," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol.45, no.7, pp. 781-790, Jul. 1998.
6. J. J. Rael and A. A. Abidi, "Physical processes of phase noise in differential LC oscillators," in Proc. IEEE Custom Integr. Circuits Conf., 2000, pp. 569-572.
7. A. Mirzaei, M. E. Heidari, and A. A. Abidi, "Analysis of oscillators locked by large injection signals: Generalized Adler's equation and geometrical interpretation," in Proc. IEEE Custom Integr. Circuits Conf., 2006, pp. 737-740.
8. A. Mirzaei, E. Heidari, R. Bagheri, S. Chehrazi, and A. Abidi, "The quadrature LC oscillator: A complete portrait based on injection locking," IEEE J. Solid-State Circuits, vol.42, no.9, pp. 1916-1932, Sep. 2007.
9. 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.
10. P. Maffezzoni, "Analysis of oscillator injection locking through phase-domain impulse-response," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol.55, no.5, pp. 1297-1305, Jun. 2008.
11. P. Vanassche, G. Gielen, and W. Sansen, "On the difference between two widely publicized methods for analyzing oscillator phase behavior," in Proc. IEEE/ACM Int. Conf. Comput.-Aided Des., 2002, pp. 229-233.
12. S. Saito and Y.Yamamoto, "Direct observation of Lorentzian lineshape of semiconductor laser and linewidth reduction with external grating feedback," Electron. Lett., vol.17, pp. 325-327, 1981.
13. Y. Yamamoto, T. Mukai, and S. Saito, "Quantum phase noise and linewidth of a semiconductor laser," Electron. Lett., vol.17, pp. 327-329, 1981.
14. M. Lax, "Classical noise. V. Noise in self-sustained oscillators," Phys. Rev., vol.160, pp. 290-307, 1967.
15. H. L. Stover, "Theoretical explanation of the output spectra of unlocked driven oscillators," Proc. IEEE, vol.54, no.2, pp. 310-311, Feb. 1966.
16. M. Armand, "On the output spectrum of unlocked driven oscillators," Proc. IEEE, vol.59, pp. 798-799, May 1969.
17. B. Razavi, "A study of injection locking and pulling in oscillators," IEEE J. Solid-State Circuits, vol.39, no.9, pp. 1415-1424, Sep. 2004.
18. L. V. Ahlfors, Complex Analysis, 3rd ed. New York: McGraw-Hill, 1979.
19. T. Buchanan, "The frequency spectrum of a pulled oscillator," Proc. IRE, vol.40, no.8, pp. 958-961, 1952.
20. K. Kurokawa, "Injection locking of microwave solid-state oscillators," Proc. IEEE, vol.61, no.10, pp. 1336-1410, Oct. 1973.
21. B. Carlson, P. B. Crilly, and J. C. Rutledge, Communication Systems, 4th ed. New York: McGraw-Hill, 2002.
22. E. Hegazi, H. Sjöland, and A. Abidi, "A filtering technique to lower LC oscillator phase noise," IEEE J. Solid-State Circuits, vol.36, no.12, pp. 1921-1930, Dec. 2001.
23. J. B. Hagen, Radio-Frequency Electronics: Circuits and Applications, 1st ed. Cambridge, U.K.: Cambridge Univ. Press, 1996.
24. J. L. Stewart, "The power spectrum of a carrier frequency modulated by Gaussian noise," Proc. IRE, vol.42, no.10, pp. 1539-1542, 1954.
25. A. Chorti and M. Brookes, "A spectral model for RF oscillators with power-law phase noise," IEEE Trans. Circuits Syst. I, Reg. Papers, vol.53, no.9, pp. 1989-1999, Sep. 2006.
26. S. M. Rytov, Principles of Statistical Radiophysics 2: Correlation Theory of Random Processes. New York: Springer-Verlag, 1988, vol.2.
27. G. V. Klimovitch, "Near-carrier oscillator spectrum due to flicker and white noise," in Proc. IEEE Int. Symp. Circuits Syst., 2000, pp. 703-706.
28. F. S. Crawford, Jr, Waves. New York: McGraw-Hill, 1968.
29. A. A. Abidi, "Noise in active resonators and the available dynamic range," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol.39, no.4, pp. 296-299, Apr. 1992.