Noise analysis of a class of oscillators

Dec, A.; Tóth, L.; Suyama, K.

doi:10.1109/82.686698

Cited by 27 publications

(19 citation statements)

References 17 publications

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“…The single-sided spectral density (defined for ) is given by (36) where we substituted and . The total power (i.e.…”

Section: A Single-sided Spectral Density and Total Powermentioning

confidence: 99%

“…For the perfect periodic signal , the PSD has functions located at discrete frequencies (i.e., the harmonics). The phase deviation spreads the power in these functions in the form given in (36), which can be experimentally observed with a spectrum analyzer.…”

Section: A Single-sided Spectral Density and Total Powermentioning

confidence: 99%

“…Nonlinearity [36] This oscillator (Fig. 4) consists of a Tow-Thomas second-order bandpass filter and a comparator [36].…”

Section: A Generic Oscillator With a Bandpass Filter And Amentioning

confidence: 99%

See 2 more Smart Citations

Phase noise in oscillators: a unifying theory and numerical methods for characterization

Demir¹,

Mehrotra

Roychowdhury³

2000

IEEE Trans. Circuits Syst. I

1,016

931

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Abstract-Phase noise is a topic of theoretical and practical interest in electronic circuits, as well as in other fields, such as optics. Although progress has been made in understanding the phenomenon, there still remain significant gaps, both in its fundamental theory and in numerical techniques for its characterization. In this paper, we develop a solid foundation for phase noise that is valid for any oscillator, regardless of operating mechanism. We establish novel results about the dynamics of stable nonlinear oscillators in the presence of perturbations, both deterministic and random. We obtain an exact nonlinear equation for phase error, which we solve without approximations for random perturbations. This leads us to a precise characterization of timing jitter and spectral dispersion, for computing which we develop efficient numerical methods. We demonstrate our techniques on a variety of practical electrical oscillators and obtain good matches with measurements, even at frequencies close to the carrier, where previous techniques break down. Our methods are more than three orders of magnitude faster than the brute-force Monte Carlo approach, which is the only previously available technique that can predict phase noise correctly.

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“…The single-sided spectral density (defined for ) is given by (36) where we substituted and . The total power (i.e.…”

Section: A Single-sided Spectral Density and Total Powermentioning

confidence: 99%

Section: A Single-sided Spectral Density and Total Powermentioning

confidence: 99%

See 1 more Smart Citation

Phase noise in oscillators: a unifying theory and numerical methods for characterization

Demir¹,

Mehrotra

Roychowdhury³

2000

IEEE Trans. Circuits Syst. I

1,016

931

View full text Add to dashboard Cite

show abstract

“…The proposed algorithm was implemented in our circuit simulator pan ¶ and tested on several circuits; here we present two examples: the first one is the well-known Tow-Thomas oscillator [16,17] and the second one a differential oscillator (known as LC tank oscillator), which is still largely employed in wireless equipments [8,18]. The schematic of the Tow-Thomas oscillator is reported in Figure 2.…”

Section: Numerical Resultsmentioning

confidence: 99%

Computation of all the Floquet eigenfunctions in autonomous circuits

Brambilla

Gajani

2007

Circuit Theory & Apps

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SUMMARYAnalysis methods based on the Floquet theory have gained a large interest to compute small signal and noise effects in non-autonomous and autonomous circuits (oscillators). A reliable and straightforward method to compute all the eigenfunctions related to the Floquet analysis is discussed here. The method has been implemented in a circuit simulator and tested on several circuits. Numerical results are presented.

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“…This flurry of results led, either directly or indirectly, to papers by many others that together advanced the fundamental understanding of noise and improved both the analysis [58,9,68,51,69] and design of low-noise circuits [36,53].…”

Section: Noise Analysismentioning

confidence: 99%

Highlights in Physical Simulation and Analysis at ICCAD

Kundert

White

2003

The Best of ICCAD

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Six papers were chosen to represent twenty years of research in physical simulation and analysis, three papers addressing the problem of extracting and simulating interconnect effects and three papers describing techniques for simulating steady-state and noise behavior in RF circuits. In this commentary paper we will try to describe the contribution of each paper and place that contribution in some historical context.

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Noise analysis of a class of oscillators

Cited by 27 publications

References 17 publications

Phase noise in oscillators: a unifying theory and numerical methods for characterization

Phase noise in oscillators: a unifying theory and numerical methods for characterization

Computation of all the Floquet eigenfunctions in autonomous circuits

Highlights in Physical Simulation and Analysis at ICCAD

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