Sensitivity Enhancement in Pole-Zero Identification Based Stability Analysis of Microwave Circuits

Ayllon, Natanael; Anakabe, A.; Collantes, J.M.; Soubercaze-Pun, Geoffroy; Forestier, S.

doi:10.1109/inmmic.2008.4745719

Cited by 15 publications

(16 citation statements)

References 3 publications

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“…1(a). We calculate the stable-input impedance of the circuit which is embedded in the single-input-single-output (SISO) system20, and tune its pole-zero21. The transmittance is defined as S 21 = P output / P input , where P input and P output are the incident and transmitted power, respectively.…”

Section: Fano Resonances Without Dampingmentioning

confidence: 99%

Analysis and modeling of Fano resonances using equivalent circuit elements

et al. 2016

Sci Rep

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Fano resonance presents an asymmetric line shape formed by an interference of a continuum coupled with a discrete autoionized state. In this paper, we show several simple circuits for Fano resonances from the stable-input impedance mechanism, where the elements consisting of inductors and capacitors are formulated for various resonant modes, and the resistor represents the damping of the oscillators. By tuning the pole-zero of the input impedance, a simple circuit with only three passive components e.g. two inductors and one capacitor, can exhibit asymmetric resonance with arbitrary Q-factors flexiblely. Meanwhile, four passive components can exhibit various resonances including the Lorentz-like and reversely electromagnetically induced transparency (EIT) formations. Our work not only provides an intuitive understanding of Fano resonances, but also pave the way to realize Fano resonaces using simple circuit elements.

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Section: Fano Resonances Without Dampingmentioning

confidence: 99%

Analysis and modeling of Fano resonances using equivalent circuit elements

et al. 2016

Sci Rep

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“…Probing the circuit at those nodes or branches with very low sensitivity (lack of controllability and observability 1 ) can lead to a pole-zero cancellation and an unstable pole might remain undetected. This can happen when probing at very low impedance nodes with the current source or at very low admittance branches with the voltage source [22]. A typical example is the case of odd-mode oscillations in power combining amplifiers.…”

Section: : Obtaining the Closed-loop Frequency Responsementioning

confidence: 99%

Pole-Zero Identification: Unveiling the Critical Dynamics of Microwave Circuits Beyond Stability Analysis

et al. 2019

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“…The oscillator block will be described with an admittance function. Note that a series representation, in terms of an impedance function, is also possible [16] and will be better suited in the case of reduced controllability and/or observability [27][28] with the parallel excitation.…”

Section: Outer-tier Contourmentioning

confidence: 99%

Efficient Simulation of Solution Curves and Bifurcation Loci in Injection-Locked Oscillators

Cos

Suárez

2015

IEEE Trans. Microwave Theory Techn.

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A new method is presented for the two-level harmonic-balance analysis of multivalued synchronized solution curves in injection-locked oscillators. The method is based on the extraction of a nonlinear admittance function, which describes the circuit response from the input source terminals. It does not require any optimization or parameter switching procedures, this constituting a significant advantage compared with previous analysis techniques. With additional mathematical conditions, it enables a straightforward determination of the turning point and Hopf bifurcation loci that delimit the stable injection-locked operation bands. The codimension two bifurcation point at which the turning point and Hopf bifurcation loci merge is analyzed in detail, as well as the saddle-connection locus. As it is shown, a second intersection of the saddle-connection locus with the turning point locus acts as a boundary between synchronization points and points associated with jumps and hysteresis. The likely observation of chaotic solutions in the neighborhood of the saddle-connection locus is discussed too. The techniques have been validated by application to several injection-locked oscillators, obtaining good agreement with the experimental results.

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Sensitivity Enhancement in Pole-Zero Identification Based Stability Analysis of Microwave Circuits

Cited by 15 publications

References 3 publications

Analysis and modeling of Fano resonances using equivalent circuit elements

Analysis and modeling of Fano resonances using equivalent circuit elements

Pole-Zero Identification: Unveiling the Critical Dynamics of Microwave Circuits Beyond Stability Analysis

Efficient Simulation of Solution Curves and Bifurcation Loci in Injection-Locked Oscillators

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