Phase noise and timing jitter in oscillators with colored-noise sources
Abstract
Phase noise or timing jitter in oscillators is of major concern in wireless and optical communications, being a major contributor to the bit-error rate of communication systems, and creating synchronization problems in other clocked and sampled-data systems. This paper presents the theory and practical characterization of phase noise in oscillators due to colored, as opposed to white, noise sources. Shot and thermal noise sources in oscillators can be modeled as white-noise sources for all practical purposes. The characterization of phase noise in oscillators due to shot and thermal noise sources is covered by a recently developed theory of phase noise due to white-noise sources. The extension of this theory and the practical characterization techniques to noise sources in oscillators, which have a colored spectral density, e.g., 1/f noise, is crucial for practical applications. In this paper, we first derive a stochastic characterization of phase noise in oscillators due to colored-noise sources. This stochastic analysis is based on a novel nonlinear perturbation analysis for autonomous systems, and a nonlocal Fokker-Planck equation we derive. Then, we calculate the resulting spectrum of the oscillator output with phase noise as characterized. We also extend our results to the case when both white and colored-noise sources are present. Our treatment of phase noise due to colored-noise sources is general, i.e., it is not specific to a particular type of colored-noise source.
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Electrical noise can lead to phase jitter in oscillators.
“Electrical noise also can lead to phase jitter in oscillator [20], [43], [44].”
From True Random Number Generators Using Electrical Noise (2019) · cites this paper as [44]
Cites
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Demir, A. (2006) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2006.881184 · Cited by 184 · see citing works
Self-citationTrue Random Number Generators Using Electrical Noise
Gong, L., Zhang, J., Liu, H., Sang, L., & Wang, Y. (2019) · IEEE Access · doi:10.1109/access.2019.2939027 · Cited by 77 · see citing works
“Electrical noise also can lead to phase jitter in oscillator [20], [43], [44].”
Background
- Authors
- Demir, A.
- Affiliations
- Koç University (TR)
- Corresponding author
- Demir, A.
- ORCID
- Demir, A.
- Venue
- IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
- Published
- 2002-12
- Volume
- 49
- Issue
- 12
- Pages
- 1782-1791
- ISSN
- 1057-7122 (ISSN-L)
- OpenAlex
- W2123684973
- Cited by
- 193
- References
- 12
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 4 · 2023: 5 · 2022: 5 · 2021: 7 · 2020: 2 · 2019: 6 · 2018: 7 · 2017: 6 · 2016: 7 · 2015: 10 · 2014: 16 · 2013: 14 · 2012: 14
- FWCI
- 3.85
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications (publishedVersion)
- Topics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Advancements in PLL and VCO Technologies
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Radio Frequency Integrated Circuit Design
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › stochastic dynamics and bifurcation
- Keywords
- phase noise, timing jitter, oscillators, colored noise, 1/f noise, shot noise, thermal noise, stochastic characterization, autonomous systems
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