An efficient linear-time variant simulation technique of oscillator phase sensitivity function

Pepe, Federico; Bonfanti, Andrea; Levantino, Salvatore; Maffezzoni, P.; Samori, Carlo; Lacaita, A.L.

doi:10.1109/smacd.2012.6339406

Cited by 22 publications

(17 citation statements)

References 6 publications

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“…The above expressions were validated against numerical simulations for different values of device parameter using the method suggested by Pepe et al [46], based on periodic transfer function simulations. The results for a representative case are plotted in Figs.…”

Section: ) Tail Tank Losses: If a Noise Chargementioning

confidence: 99%

Analysis and Design of a 195.6 dBc/Hz Peak FoM P-N Class-B Oscillator With Transformer-Based Tail Filtering

Garampazzi¹,

Mendes

Codega³

et al. 2015

IEEE J. Solid-State Circuits

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A complementary p-n class-B oscillator with two magnetically coupled second harmonic tail resonators is presented and compared to an N-only reference one. An in depth analysis of phase noise, based on direct derivation of the Impulse Sensitivity Function (ISF), provides design insights on the optimization of the tail resonators. In principle the complementary p-n oscillator has the same optimum Figure of Merit (FoM) of the N-only at half the voltage swing. At a supply voltage of 1.5 V, the maximum allowed oscillation amplitude of the N-only is constrained, by reliability considerations, to be smaller than the value that corresponds to the optimum FoM even when 1.8 V thick oxide transistors are used. For an oscillation amplitude that ensures reliable operation and the same tank, the p-n oscillator achieves a FoM 2 to 3 dB better than the N, only depending on the safety margin taken in the design. After frequency division by 2, the p-n oscillator has a measured phase noise that ranges from 150.8 to 151.5 dBc/Hz at 10 MHz offset from the carrier when the frequency of oscillation is varied from 7.35 to 8.4 GHz. With a power consumption of 6.3 mW, a peak FoM of 195.6 dBc/Hz is achieved.

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Section: ) Tail Tank Losses: If a Noise Chargementioning

confidence: 99%

Analysis and Design of a 195.6 dBc/Hz Peak FoM P-N Class-B Oscillator With Transformer-Based Tail Filtering

Garampazzi¹,

Mendes

Codega³

et al. 2015

IEEE J. Solid-State Circuits

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“…The linking equations (8) and (9) between ISF and negative sidebands of PXF are exactly same as the counterparts in [19], [20]. In other words, they are actually the periodic transimpedance based on current at (ω 0 + ∆ω) − (k + 1)ω 0 (i.e., −(kω 0 −∆ω)) rather than the current at kω 0 −∆ω, which was a rather confusing assumption in [19], [20]. However, the negative frequency is not supported in PXF at the default settings [21], in which the input frequency axis is only available for absolute frequency (i.e., PXF options: freqaxis = absin).…”

Section: B Isf Extraction From Positive Sidebands Of Pxfmentioning

confidence: 90%

“…|H(−(k + 1))| and H(−(k + 1)) are magnitude and phase of the periodic transimpedance, respectively. The linking equations (8) and (9) between ISF and negative sidebands of PXF are exactly same as the counterparts in [19], [20]. In other words, they are actually the periodic transimpedance based on current at (ω 0 + ∆ω) − (k + 1)ω 0 (i.e., −(kω 0 −∆ω)) rather than the current at kω 0 −∆ω, which was a rather confusing assumption in [19], [20].…”

Section: B Isf Extraction From Positive Sidebands Of Pxfmentioning

confidence: 93%

“…A single-run PXF simulation can acquire N harmonic terms of ISF, which is much more convenient than running PAC simulations N times. However, several confusing issues still persist: 1) It is not straightforward to understand a derivation linking ISF to PXF in which a small-signal voltage at ω 0 + ∆ω is observed in response to a small input test current at kω 0 − ∆ω [19], [20]. 2) All the derived equations linking ISF to PXF require negative sidebands of PXF (i.e., negative frequency), while the default settings in PXF does not support negative frequencies [21].…”

Section: Introductionmentioning

confidence: 99%

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Intuitive Understanding of Flicker Noise Reduction via Narrowing of Conduction Angle in Voltage-Biased Oscillators

Siriburanon

Staszewski

2019

IEEE Trans. Circuits Syst. II

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This brief aims to intuitively explain and numerically verify the observed phenomenon of flicker noise reduction in oscillators of reduced conduction angle (i.e., in class-C), which has been presented in literature but never properly explained. The flicker phase noise in a voltage-biased oscillator capable of operating in class-B and class-C is compared and numerically verified using a commercial simulation model of TSMC 28-nm CMOS. We illustrate how narrowing the conduction angle can suppress the 1/f noise up-conversion by decreasing 1/f noise exposure to the asymmetric rising and falling edges of oscillation waveform. The effects of implicit common-mode tank in the class-C operation is also discussed. We further clarify ambiguities among several simulation methods of impulse sensitivity function (ISF) based on periodic small-signal analysis (PAC or PXF), which is a key tool in understanding the flicker noise upconversion. A clearer ISF simulation method based on positive sidebands of PXF is proposed.

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“…The positive sidebands of periodic transfer function (PXF)[53] provide a fast and accurate way to calculate h DS (t)[49] (see also[54]-[56]). …”

mentioning

confidence: 99%

Oscillator Flicker Phase Noise: A Tutorial

Siriburanon

Staszewski

2021

IEEE Trans. Circuits Syst. II

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An efficient linear-time variant simulation technique of oscillator phase sensitivity function

Cited by 22 publications

References 6 publications

Analysis and Design of a 195.6 dBc/Hz Peak FoM P-N Class-B Oscillator With Transformer-Based Tail Filtering

Analysis and Design of a 195.6 dBc/Hz Peak FoM P-N Class-B Oscillator With Transformer-Based Tail Filtering

Intuitive Understanding of Flicker Noise Reduction via Narrowing of Conduction Angle in Voltage-Biased Oscillators

Oscillator Flicker Phase Noise: A Tutorial

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