Noise in Synchronized Oscillators

Kurokawa, Kazuya

doi:10.1109/tmtt.1968.1126656

Cited by 257 publications

(77 citation statements)

References 8 publications

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“…The general theory of the auto-oscillator linewidth for an isochronous auto-oscillator was developed in [2,16]. It was shown in [2] that the phase variance ∆φ 2 of an auto-oscillator increases linearly with time τ (∆φ 2 ∼ τ , corresponding to a "random walk" of phase), and that the generation line has a Lorentzian shape.…”

mentioning

confidence: 99%

Linewidth of higher harmonics in a nonisochronous auto-oscillator: Application to spin-torque nano-oscillators

et al. 2012

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mentioning

confidence: 99%

Linewidth of higher harmonics in a nonisochronous auto-oscillator: Application to spin-torque nano-oscillators

et al. 2012

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“…According to Fredholm's alternative, and the split in (24) and (25), the adjoint operator must then fulfill (30) and we can write 7 (31) where the normalization of this operator follows from (29).…”

Section: Decomposing the Oscillator Tangent Spacementioning

confidence: 99%

“…7 In the following, we shall only consider 1-D subspaces (modes), which means that u (t) u (t) for all i. We do not consider 2-D subspaces, which, of course, do occur but which would require the use of complex algebra.…”

Section: Decomposing the Oscillator Tangent Spacementioning

confidence: 99%

Oscillator Phase Noise: A Geometrical Approach

Djurhuus

Krozer

Vidkjaer

et al. 2009

IEEE Trans. Circuits Syst. I

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Abstract-We construct a coordinate-independent description of oscillator linear response through a decomposition scheme derived independently of any Floquet theoretic results. Trading matrix algebra for a simpler graphical methodology, the text will present the reader with an opportunity to gain an intuitive understanding of the well-known phase noise macromodel. The topics discussed in this paper include the following: orthogonal decompositions, AM-PM conversion, and nonhyperbolic oscillator noise response.

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“…A 0.9-2.2 GHZ TWO-INTEGRATOR VCO FOR SAT-TV 213 Figure 9. 16 Micrograph of the quadrature mixer-oscillator.…”

Section: Oscillator Designmentioning

confidence: 99%