The optimum power conversion efficiency and associated gain of an LC CMOS oscillator

Murphy, David; Kennedy, Michael Peter; Buckley, JM; Qu, Min

doi:10.1109/iscas.2006.1693164

Cited by 2 publications

(2 citation statements)

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“…As a result of , the total power 8 of the phase modulating sidebands around the fundamental is calculated as (24) Substituting the values for and from (23) gives (25) Summing from to accounts for noise around all harmonics at both and (26) Substituting into the above expression gives the PSD of the noise current that modulates the phase of the fundamental of the nonlinear current (27) To simplify further, we recognize that (28) and therefore, we may write as follows: (29) where is the Fourier series component of the square of the noise shaping function, . Using a similar derivation and employing the same assumptions, it can be shown that the AM component is given by (30) Thus, if we know the noise shaping waveform (i.e., ), we can easily decompose a noise source into its AM/PM components. This decomposition, coupled with the transfer functions described by (19) and (20), allow us to quantify a given source's contribution to output noise.…”

Section: Decomposition Of a Resonator-referred Cyclostationary Whmentioning

confidence: 99%

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Phase Noise in LC Oscillators: A Phasor-Based Analysis of a General Result and of Loaded $Q$

Murphy

Rael

Abidi

2010

IEEE Trans. Circuits Syst. I

112

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Recent work by Bank, and Mazzanti and Andreani has offered a general result concerning phase noise in nearly-sinusoidal inductance-capacitance (LC) oscillators; namely that the noise factor of such oscillators (under certain achievable conditions) is largely independent of the specific operation of individual transistors in the active circuitry. Both use the impulse sensitivity function (ISF). In this work, we show how the same result can be obtained by generalizing the phasor-based analysis. Indeed, as applied to nearly-sinusoidal LC oscillators, we show how the two approaches are equivalent. We analyze the negative-gm LC model and present a simple equation that quantifies output noise resulting from phase fluctuations. We also derive an expression for output noise resulting from amplitude fluctuations. Further, we extend the analysis to consider the voltage-biased LC oscillator and fully differential CMOS LC oscillator, for which the Bank's general result does not apply. Thus we quantify the concept of loaded .

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Section: Decomposition Of a Resonator-referred Cyclostationary Whmentioning

confidence: 99%

“…A simple method to predict the oscillation amplitude of the voltage-biased topology, adapted from [30], is now presented.…”

Section: B Standard Voltage-biased Nmos Topologymentioning

confidence: 99%

Phase Noise in LC Oscillators: A Phasor-Based Analysis of a General Result and of Loaded $Q$

Murphy

Rael

Abidi

2010

IEEE Trans. Circuits Syst. I

112

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show abstract

Analysis and Design of a Core-Size-Scalable Low Phase Noise <formula formulatype="inline"><tex Notation="TeX">$LC$</tex> </formula>-VCO for Multi-Standard Cellular Transceivers

Seong

Kim

Choi

2015

IEEE Trans. Circuits Syst. I

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The optimum power conversion efficiency and associated gain of an LC CMOS oscillator

Cited by 2 publications

References 0 publications

Phase Noise in LC Oscillators: A Phasor-Based Analysis of a General Result and of Loaded $Q$

Phase Noise in LC Oscillators: A Phasor-Based Analysis of a General Result and of Loaded $Q$

Analysis and Design of a Core-Size-Scalable Low Phase Noise <formula formulatype="inline"><tex Notation="TeX">$LC$</tex> </formula>-VCO for Multi-Standard Cellular Transceivers

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