Phase Noise Calculation in CMOS Single-Ended Ring Oscillators

Subject Areas : Majlesi Journal of Telecommunication Devices

Behrooz Razeghi ¹ , Maral Ansari ² , Mohsen Mirzaei Fard ³ , Saber Izadpanah Tous ⁴ , Hooman Nabovati ⁵

1 - Ferdowsi University of Mashhad (FUM)
2 - Sadjad Institute for Higher Education
3 - Ferdowsi University of Mashhad (FUM)
4 - Sadjad Institute for Higher Education
5 - Sadjad Institute for Higher Education

Received: 2013-07-10 Accepted : 2013-07-10 Published : 2013-09-01

Keywords: en,

Abstract :

All oscillators are periodically time varyingsystems, so to accurate phase noise calculation andsimulation, time varying model should be considered. Phasenoise is an important characteristic of oscillator design anddefined as the spectral density of the oscillator spectrum atan offset from the center frequency of the oscillator relativeto the power of the oscillator. Linear time invariant (LTI) andlinear time variant (LTV) model’s for calculating phase noisein ring oscillator is discussed. In this paper a new techniquebased on LTV model for impulse sensitivity function (ISF)calculation and thus phase noise estimation inCMOS single-ended ring oscillator is presented. This methodis simpler than other methods and ISF can be simulated andcalculated easily. Good results between theory and simulationis observed.

References:

[1] Eken, Yalcin Alper. “High frequency voltage controlled ring oscillators in standard CMOS.” PHD Thesis, Georgia Institute of Technology, Jun 2004.

[2] A. Hajimiri, T.H. Lee. “A general theory of phase noise in electrical oscillators.”IEEE Journal of Solid State Circuits, vol. 33, no. 2, pp. 179-194, Feb. 1998.

[3] A. Hajimiri, S. Limotyrakis and T. H. Lee. “Phase Noise in Multi- Gigahertz CMOS Ring Oscillators,”inProceeding Custom Integrated Circuits Conference, May 1998.

[4] D. B. Leeson. “A simple model of feedback oscillator noise spectrum,”in Proceeding of IEEE, vol. 54, pp. 329-330, Feb. 1966.

[5] B. Razavi. “A study of phase noise in CMOS oscillators,”IEEE Journal Solid State Circuits, vol. 31, no. 3, pp. 331-343, Mar. 1996.

[6] B. Razavi. “Analysis, modeling, and simulation of phase noise in monolithic voltage-controlled oscillators,”in Proceeding IEEE Custom Integrated Circuits Conf., pp. 323-326, 1995.

[7] Liang Dai, Ramesh Harjani. Design of high performance CMOS voltage-controlled oscillators. Kluwer Academic Publishers, pp. 46-48, 2003.

[8] A. Hajimiri, S. Limotyrakis, T.H. Lee. “Jitter and phase noise in ring oscillators.”IEEE Journal of Solid State Circuits, vol. 34, no. 2, pp. 790-804, June. 1999.

[9] A. Hajimiri, T.H. Lee. The Design of Low Noise Oscillators. Kluwer Academic Publishers, 1999.

[10] S. Izadpanah Tous, M. Behroozi, E. Kargaran, H. Nabovati, “Noise Calculation Technique Using Time Varying Model,”Majlesi Journal of Electrical Engineering, vol. 4, no.6, December 2012.

[11] T.H. Lee, A. Hajimiri. “Oscillator phase noise: a tutorial,”IEEE Journal Solid State Circuits,, vol. 35, no. 3, pp. 326-336, Mar. 2000.