Design and optimization of low-noise oscillators using nonlinear CAD tools

Rohde, Ulrich L.; Change, Chao-Ren; Gerber, J.

doi:10.1109/freq.1994.398283

Cited by 8 publications

(4 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When the input is the pseudo sinusoidal signal ξ(t)=exp[j(rω 0 +Δω)t], according to formula (12), we get ( ) ( )…”

Section: /δω 2 Spectrum Of Sideband Phase Noisementioning

confidence: 99%

“…It takes advantages of easiness to understand and simple deducing process. As stated above, this method will diverge at the fundamental frequency and the harmonics [8][9][10][11][12] . Besides appending the small perturbation to the periodic steady solutions, Kaertner [13,14] perturbed the phase of the solutions, and obtained two groups of Langevin equations for phase and amplitude respectively.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Phase noise analysis of oscillators with Sylvester representation for periodic time-varying modulus matrix by regular perturbations

et al. 2007

View full text Add to dashboard Cite

Phase noise analysis of an oscillator is implemented with its periodic time-varying small signal state equations by perturbing the autonomous large signal state equations of the oscillator. In this paper, the time domain steady solutions of oscillators are perturbed with traditional regular method; the periodic time-varying Jocobian modulus matrices are decomposed with Sylvester theorem, and on the resulting space spanned by periodic vectors, the conditions under which the oscillator holds periodic steady states with any perturbations are analyzed. In this paper, stochastic calculus is applied to disclose the generation process of phase noise and calculate the phase jitter of the oscillator by injecting a pseudo sinusoidal signal in frequency domain, representing the white noise, and a δ correlation signal in time domain into the oscillator. Applying the principle of frequency modulation, we learned how the power-law and the Lorentzian spectrums are formed. Their relations and the Lorentzian spectrums of harmonics are also worked out. Based on the periodic Jacobian modulus matrix, the simple algorithms for Floquet exponents and phase noise are constructed, as well as a simple case is demonstrated. The analysis difficulties and the future directions for the phase noise of oscillators are also pointed out at the end.phase noise, periodic time-varying, Sylvester theorem, power-law spectrum, Lorentzian spectrum, Floquet exponent, stochastic calculusThe oscillator circuit, which is required to output stable signal with fixed frequency, is widely used in analog, digital and radio frequency circuits. It provides time reference for the circuits and

show abstract

“…When the input is the pseudo sinusoidal signal ξ(t)=exp[j(rω 0 +Δω)t], according to formula (12), we get ( ) ( )…”

Section: /δω 2 Spectrum Of Sideband Phase Noisementioning

confidence: 99%

mentioning

confidence: 99%

Phase noise analysis of oscillators with Sylvester representation for periodic time-varying modulus matrix by regular perturbations

et al. 2007

View full text Add to dashboard Cite

show abstract

“…The unconditional validity of the reference plane methods is widely accepted [6,19,20]. But these methods cannot be unconditionally used.…”

Section: Conditions For Proper Use Of Reference Plane Methodsmentioning

confidence: 99%

“…The NDF as a function of RR is given by equation (19). RR i is the return response when the (i − 1) previous dependent generators have been disabled.…”

Section: Negative Conductance Additional Conditions (Impedance Networmentioning

confidence: 99%

Oscillator Accurate Linear Analysis and Design. Classic Linear Methods Review and Comments

González-Posadas¹,

Martín²,

Parra-Cerrada³

et al. 2011

PIER

View full text Add to dashboard Cite

Abstract-This paper is a deep analysis of oscillator plane reference design methods. It defines applicable conditions and the expected accuracy that can be archived with these methods. Some examples will be shown to illustrate wrong solutions that the use of linear reference plane methods can produce. The wrong solutions will be justified by necessary conditions for proper use of these methods. The strengths and weaknesses of the, widely used, plane reference methods are described in this paper. Several classic topologies of microwave oscillators, as Grounded Collector Tuned Bases(GCTB) and Grounded Bases Tuned Oscillator (GBTO), are used to illustrate these results and the additional required conditions.

show abstract

Noise modeling methodology of an integrated circuit for quartz crystal oscillator

Vorobyev

Imbaud

Baron

et al. 2015

2015 Joint Conference of the IEEE International Frequency Control Symposium &Amp; The European Frequency and Time Forum

View full text Add to dashboard Cite

Design and optimization of low-noise oscillators using nonlinear CAD tools

Cited by 8 publications

References 8 publications

Phase noise analysis of oscillators with Sylvester representation for periodic time-varying modulus matrix by regular perturbations

Phase noise analysis of oscillators with Sylvester representation for periodic time-varying modulus matrix by regular perturbations

Oscillator Accurate Linear Analysis and Design. Classic Linear Methods Review and Comments

Noise modeling methodology of an integrated circuit for quartz crystal oscillator

Contact Info

Product

Resources

About