An efficient method for nonlinear distortion calculation of the AM and PM noise spectra of FMCW radar transmitters

Laloue, A.; Nallatamby, Jean-Christophe; Prigent, Michel; Camiade, M.; Obregon, J.

doi:10.1109/tmtt.2003.815271

Cited by 10 publications

(4 citation statements)

References 9 publications

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“…The oscillator stable manifold defines the connected subset of R n containing all initial conditions which converge towards the oscillator limit-cycle asymptotically with time lim τ →∞ |φ τ (x 0 ) − γ| → 0 for x 0 ∈ W s . The text herein considers electrical oscillators with a single DC/start-up point, x q , assumed to lie at the origin 7 which produces a stable manifold consisting of R n minus the origin i.e. W s = R n \ {0}.…”

Section: The Stable Manifold and Isochrone Foliationmentioning

confidence: 99%

“…non-orthogonal) Floquet vectors decomposing the LR map [1][2][3][4]. One important implication of this oblique representation is the integration of amplitude-noise into oscillator phase response; a process known as oscillator AM-PM noise conversion 2 [5][6][7][8][9][10][11][12][13][14][15]. The aim of the model described herein is to seek an answer to the open question :what type of oscillators support a fully orthogonal small-signal representation implying zero AM-PM ?…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Conditions for Oscillator Small-Signal Amplitude-Phase Orthogonality

Djurhuus¹,

Krozer²

2022

Preprint

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The paper explores a previously unknown connection relating the symmetry properties of an oscillator steady-state to the orthogonal representation of amplitude and phase variables in the small-signal regime. It is shown that only circuits producing perfectly symmetric steady-states can produce an orthogonal Floquet decomposition. Considering room temperature operation this scenario implies zero AM-PM noise conversion. This surprising and novel result follows directly from the predictions of a rigorous model framework first described herein. The work presented in this text extend the current state-of-the-art w.r.t. oscillator small-signal/noise characterization.

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Section: The Stable Manifold and Isochrone Foliationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Conditions for Oscillator Small-Signal Amplitude-Phase Orthogonality

Djurhuus¹,

Krozer²

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…A portion of the oscillator phase‐noise response originates from amplitude perturbations which are then modulated into the phase in a process known as oscillator AM‐PM noise conversion. 1‐9 Herein, the following expression,

D = D_{φ φ} + D_{φ a}

, for the phase‐diffusion , D , is introduced. The phase‐diffusion is a real parameter which entirely characterizes the phase‐noise response of an autonomous oscillator 10‐12 .…”

Section: Introductionmentioning

confidence: 99%

A study of amplitude‐to‐phase noise conversion in planar oscillators

Djurhuus

Krozer

2020

Circuit Theory & Apps

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SummaryThis paper explores the many interesting implications for oscillator design, with optimized phase‐noise performance, deriving from a newly proposed model based on the concept of oscillator conjugacy. For the case of 2‐D (planar) oscillators, the model prominently predicts that only circuits producing a perfectly symmetric steady‐state can have zero amplitude‐to‐phase (AM‐PM) noise conversion, a so‐called zero‐state. Simulations on standard industry oscillator circuits verify all model predictions and, however, also show that these circuit classes cannot attain zero‐states except in special limit‐cases which are not practically relevant. Guided by the newly acquired design rules, we describe the synthesis of a novel 2‐D reduced‐order LC oscillator circuit which achieves several zero‐states while operating at realistic output power levels. The potential future application of this developed theoretical framework for implementation of numerical algorithms aimed at optimizing oscillator phase‐noise performance is briefly discussed.

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“…Thus, a systematic method for optimizing antenna characteristics of the FMCW radar is necessary to obtain the proper antenna performance in real traffic environments. However, most previous studies have focused on improving signal processing techniques and enhancing antenna gains, and in-depth studies of the radar estimation method for vehicle radars in a traffic environment have not been fully conducted yet [4,5].…”

Section: Introductionmentioning

confidence: 99%

Estimation of Detection Performance for Vehicle FMCW Radars Using EM Simulations

Yoo

Kim

Byun

et al. 2019

J Electromagn Eng Sci

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This paper proposes a systematic method for estimating detection performances of a frequency-modulated continuous wave radar using electromagnetic simulations. The proposed systematic method includes a radar system simulator that can obtain range-Doppler images using the electromagnetic (EM) simulations in conjunction with a test setup employed for performance evaluation of multiple targets at different velocities in a traffic environment. This method is then applied for optimizing the half-power beamwidths of the antenna array using an evaluation metric defined to improve the detection strengths for the multiple targets. The optimized antenna has vertical and horizontal half-power beam widths of 10 and 60, respectively. The results confirm that that the proposed systematic method is suitable to improve the radar detection performance with the enhanced radar-Doppler images.

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An efficient method for nonlinear distortion calculation of the AM and PM noise spectra of FMCW radar transmitters

Cited by 10 publications

References 9 publications

Conditions for Oscillator Small-Signal Amplitude-Phase Orthogonality

Conditions for Oscillator Small-Signal Amplitude-Phase Orthogonality

A study of amplitude‐to‐phase noise conversion in planar oscillators

Estimation of Detection Performance for Vehicle FMCW Radars Using EM Simulations

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