Analysis of Oscillation Modes in Free-Running Ring Oscillators

Cos, Jesús de; Suárez, Almudena; Ramírez, Franco

doi:10.1109/tmtt.2012.2210436

Cited by 13 publications

(10 citation statements)

References 30 publications

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“…The methodology presented will be applied to the prototype presented in [49][50]. The experimental circuit in Fig.…”

Section: Application To An Experimental Oscillatormentioning

confidence: 99%

“…However, a thorough observation of the free-running bifurcation diagram versus the gate bias voltage ( GS V ) in Fig. 14(d) [39][40]49], and two different steady-state free-running oscillations coexist in the interval indicated. The two solutions correspond to the same mode (same solution curve), although only the one with highest amplitude is stable.…”

Section: Application To An Experimental Oscillatormentioning

confidence: 99%

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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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“…The methodology presented will be applied to the prototype presented in [49][50]. The experimental circuit in Fig.…”

Section: Application To An Experimental Oscillatormentioning

confidence: 99%

Section: Application To An Experimental Oscillatormentioning

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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“…everal works have been devoted to the in-depth bifurcation analysis of microwave circuits, such as frequency dividers, free-running and injection-locked oscillators and power amplifiers, among other [1]- [4]. However, few efforts have been made to address bifurcation analyses of multi-mode freerunning oscillators [5]- [9] and those are mostly limited to circuits having a symmetrical topology. In this symmetric case, the modes are a result of repeated eigenvalues [5]- [6] in the matrix describing either the linearized active network [9] or the passive network [5]- [7], which leads to different phase distributions at equivalent circuit nodes.…”

Section: Introductionmentioning

confidence: 99%

“…However, few efforts have been made to address bifurcation analyses of multi-mode freerunning oscillators [5]- [9] and those are mostly limited to circuits having a symmetrical topology. In this symmetric case, the modes are a result of repeated eigenvalues [5]- [6] in the matrix describing either the linearized active network [9] or the passive network [5]- [7], which leads to different phase distributions at equivalent circuit nodes. In more general cases, the multiple oscillation modes are due to the loading of the active device(s), exhibiting broadband or multi-band negative resistance, with a multi-resonance network [10]- [19].…”

Section: Introductionmentioning

confidence: 99%

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Oscillation Modes in Multiresonant Oscillator Circuits

Ramírez

Sancho

Suárez

2016

IEEE Trans. Microwave Theory Techn.

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An in-depth analysis of the oscillation modes in freerunning oscillators loaded with multi-resonance networks is presented. The analysis illustrates the mechanisms for the generation and stabilization of the various periodic modes and establishes the conditions for existence of a single stable periodic mode in distinct regions of the parameter plane. The mechanisms for the generation and stabilization of quasi-periodic regimes, with two concurrent oscillations, are also analyzed, considering different situations in terms of two relevant poles. The stability analysis of quasi-periodic solutions, derived in terms of admittance functions, can be applied to circuits simulated with harmonic balance, under the assumption of high quality factor resonators. The impact of the transistor biasing on the stability properties of the quasi-periodic regimes has been analyzed, demonstrating that it can be used to isolate the quasi-periodic solution from the periodic ones. The analysis procedures have been applied to a practical oscillator based on two cross-coupled transistors at the two frequencies 900 MHz and 2.5 GHz. The case of two independent oscillations operating in a synchronized regime is also analysed, as well as its impact on the phase-noise behavior.

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Nonlinear Circuit Analysis

Suárez

2024

Encyclopedia of RF and Microwave Engineering

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The reliable prediction of the circuit response prior to manufacturing demands realistic element models and accurate analysis methods. This analysis has added difficulties in the case of nonlinear circuits, such as those based on transistors and diodes, in which the superposition principle does not hold. This gives rise to a dependence of the circuit response on the input amplitude and the generation of harmonic and intermodulation frequencies, among other phenomena. The special characteristics of nonlinear circuits are often undesired, but they also make them the only choice to obtain essential functions such as frequency mixing, frequency multiplication, oscillation, and frequency division. This article presents a detailed summary of numerical simulation methods in both the time and frequency domains, highlighting their advantages, limitations, and providing application examples.

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Analysis of Oscillation Modes in Free-Running Ring Oscillators

Cited by 13 publications

References 30 publications

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

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

Oscillation Modes in Multiresonant Oscillator Circuits

Nonlinear Circuit Analysis

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