Provisos for Classic Linear Oscillator Design Methods. New Linear Oscillator Design Based on the NDF/RRT

Jiménez-Martín, José Luis; González-Posadas, V.; Parra-Cerrada, Ángel; Segovia-Vargas, D.; Garcia-Munoz, and Luis Enrique

doi:10.2528/pier11112308

Cited by 11 publications

(11 citation statements)

References 21 publications

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“…The use of reference methods has problems in some cases, but Jiménez-Martín et al [14] and González-Posadas et al [13] propose to verify an additional condition to assure that the plane reference methods provide right solutions. This additional condition is to apply the NDF to assure that the characteristic functions ( Fig.…”

Section: Transpose Return Relations Methodsmentioning

confidence: 99%

“…On the other hand, the loop gain method [9,11] (which is [14]. The direct use of the NDF in designing stage is proposed.…”

Section: Transpose Return Relations Methodsmentioning

confidence: 99%

“…Jiménez-Martín et al's method [14] is based on the Transpose Return Relation (RR T ) and Normalized Determinant Function (NDF). This method makes possible to represent and analyse any oscillator as a feedback system similar to the one on Fig.…”

Section: Transpose Return Relations Methodsmentioning

confidence: 99%

“…The proposed method is defined in Fig. 8 and explained in deep detail by Jiménez-Martín et al [14]. The obtained Nyquist plot from the RR T analysis is in Fig.…”

Section: Awr Microwave Officementioning

confidence: 99%

“…The noise characterization of oscillators is essential for the system engineers, because the device final performance is inherently defined by it [5][6][7]. 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].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Transpose Return Relations Methodsmentioning

confidence: 99%

“…On the other hand, the loop gain method [9,11] (which is [14]. The direct use of the NDF in designing stage is proposed.…”

Section: Transpose Return Relations Methodsmentioning

confidence: 99%

Section: Transpose Return Relations Methodsmentioning

confidence: 99%

“…The proposed method is defined in Fig. 8 and explained in deep detail by Jiménez-Martín et al [14]. The obtained Nyquist plot from the RR T analysis is in Fig.…”

Section: Awr Microwave Officementioning

confidence: 99%