Prediction of the noise spectrum in optoelectronic oscillators: an analytical conversion matrix approach

Jahanbakht, Sajad; Hosseini, S. Esmail; Banai, Ali

doi:10.1364/josab.31.001915

Cited by 19 publications

(4 citation statements)

References 14 publications

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“…By approximating the phase noise process as a small‐signal stationary one [24–28], any perturbed variable is assumed to be of the form

\overset{false~}{v} false(t false) = v false(t false) + normalΔ v false(t false)

where

normalΔ v false(t false)

is a small‐signal stochastic process. The steady‐state signal

v false(t false)

is assumed to be periodic unlike

normalΔ v false(t false)

, which is generally non‐periodic.…”

Section: Applying the Conversion Matrix Approachmentioning

confidence: 99%

“…Therefore, these signals can be expressed through Fourier series representations as

v false(t false) = \sum_{k = - H}^{H} v_{k} e^{normalj k ω_{0} t}

normalΔ v false(t false) = \sum_{k = - H}^{H} Δ v_{k} (t) e^{normalj k ω_{0} t}

where the terms

{bold-italicv}_{k}

are constant complex quantities,

normalΔ {bold-italicv}_{k} ()(, t)

are slowly varying Fourier series coefficients of the perturbation process

normalΔ v false(t false)

with their maximum frequency content considered to be half of the reference frequency

ω_{0}

, and H represents the number of harmonics considered in the analysis. Here a column vector that contains Fourier coefficients of a variable is defined as the SV of that variable [27, 28]. For example, the SV of

normalΔ v false(t false)

is defined as

Δ V false(t false) = {[Δ v_{- H} (t), Δ v_{- H + 1} (t), \dots, Δ v_{H} (t)]}^{normalT}

where T denotes the transpose operator.…”

Section: Applying the Conversion Matrix Approachmentioning

confidence: 99%

“…The SV operator is defined as an operator that extracts the SV of a time‐domain signal. Some useful lemmas regarding the SV operator are presented here from [27, 28] for clarity as follows.…”

Section: Applying the Conversion Matrix Approachmentioning

confidence: 99%

“…A well‐known phase noise analysis method for oscillators is the conversion matrix approach (CMA) [24–28] which can take every liner TF and every non‐linear characteristic into account. This method allows one to use any PSD and any correlation for noise sources [24–28].…”

Section: Introductionmentioning

confidence: 99%

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