Rigorous determination of the stability of linear n-node circuits from network determinants and the appropriate role of the stability factor K of their reduced two-ports

Platzker, A.; Struble, W.

doi:10.1109/inmmc.1994.512515

Cited by 55 publications

(50 citation statements)

References 14 publications

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“…17. The Q L of the optimized oscillator is nearly 40, which is much larger than the one obtained from the oscillator without optimization (16).…”

Section: Awr Microwave Officementioning

confidence: 70%

“…A most suitable way to calculate the NDF is to use of the Return Relations (RR) defined by Bode [15] as pointed by Platzer and Struble [16]. their NDF definition is in Eq.…”

Section: Transpose Return Relations Methodsmentioning

confidence: 99%

“…The proposed RR T method is also suitable for calculate de the "true" loaded quality factor of the network, Eq. (16).…”

Section: Transpose Return Relations Methodsmentioning

confidence: 99%

“…At the same time, oscillator design presents high difficulties [8][9][10], although works by Randall and Hock [11] and Jackson [12], or even later works as González-Posadas et al and Jiménez-Martín et al [13,14] have tried to shed light on the conditions for proper oscillator design. These three last works have tried to unify all linear design methods by giving a global perspective, and they have characterized all oscillators as a feedback system using the Return Relations (RR) [15] and the Normalized Determinant Function (NDF) [16]. In fact, to optimize the oscillator noise has been a great problem because its linear optimization was difficult, or even impossible, for non-feedback oscillators.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Transpose Return Relation Method for Designing Low Noise Oscillators

Jiménez-Martín¹,

González-Posadas²,

Parra-Cerrada³

et al. 2012

PIER

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Abstract-In this paper, a new linear method for optimizing compact low noise oscillators for RF/MW applications will be presented. The first part of this paper makes an overview of Leeson's model. It is pointed out, and it is demonstrates that the phase noise is always the same inside the oscillator loop. It is presented a general phase noise optimization method for reference plane oscillators. The new method uses Transpose Return Relations (RR T ) as true loop gain functions for obtaining the optimum values of the elements of the oscillator, whatever scheme it has. With this method, oscillator topologies that have been designed and optimized using negative resistance, negative conductance or reflection coefficient methods, until now, can be studied like a loop gain method. Subsequently, the main disadvantage of Leeson's model is overcome, and now it is not only valid for loop gain methods, but it is valid for any oscillator topology. The last section of this paper lists the steps to be performed to use this method for proper noise optimization during the linear design process and before the final non-linear optimization. The power of the proposed RR T method is shown with its use for optimizing a common oscillator, which is later simulated using Harmonic Balance (HB) and manufactured. Then, the comparison of the linear, HB and measurements of the phase noise are compared.

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“…17. The Q L of the optimized oscillator is nearly 40, which is much larger than the one obtained from the oscillator without optimization (16).…”

Section: Awr Microwave Officementioning

confidence: 70%

“…A most suitable way to calculate the NDF is to use of the Return Relations (RR) defined by Bode [15] as pointed by Platzer and Struble [16]. their NDF definition is in Eq.…”

Section: Transpose Return Relations Methodsmentioning

confidence: 99%

“…The proposed RR T method is also suitable for calculate de the "true" loaded quality factor of the network, Eq. (16).…”

Section: Transpose Return Relations Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Transpose Return Relation Method for Designing Low Noise Oscillators

Jiménez-Martín¹,

González-Posadas²,

Parra-Cerrada³

et al. 2012

PIER

View full text Add to dashboard Cite

show abstract

“…From the works of some authors [15,[17][18][19] it is possible to define the additional conditions for the correct use of these methods for stability analysis. The additional conditions for the right and left sub-circuits for the Z, Y and Γ methods are defined in the following sections.…”

Section: Parameter Expressionmentioning

confidence: 99%