Bayesian approach for spatial super-resolution of heterodyne wind lidars

Fuente: arXiv
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Autori principali: Martin, Theo, Mugnier, Laurent, Valla, Matthieu, Allain, Pierre Etienne, Michel, David Tomline
Natura: Preprint
Pubblicazione: 2025
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author Martin, Theo
Mugnier, Laurent
Valla, Matthieu
Allain, Pierre Etienne
Michel, David Tomline
author_facet Martin, Theo
Mugnier, Laurent
Valla, Matthieu
Allain, Pierre Etienne
Michel, David Tomline
contents Wind speed measurements using heterodyne lidars are limited in spatial resolution because of the current signal processing methods. This limit is equal to c $τ$ ( c is the speed of light and $τ$ is the laser pulse duration) corresponding to the length of the atmosphere contributing to the wind speed measurement at one distance. To go beyond this limit, we use an inverse problem approach based on a model of the spectrogram (concatenation of periodograms of each range) and prior distributions on our unknowns: backscattering amplitude and wind speed at each range. We apply our inversion method to simulated and experimental spectrograms, demonstrating a gain in resolution by a factor of 2 to 2.5 depending on the signal-to-noise ratio.
format Preprint
id arxiv_https___arxiv_org_abs_2510_21288
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bayesian approach for spatial super-resolution of heterodyne wind lidars
Martin, Theo
Mugnier, Laurent
Valla, Matthieu
Allain, Pierre Etienne
Michel, David Tomline
Instrumentation and Detectors
Optics
Wind speed measurements using heterodyne lidars are limited in spatial resolution because of the current signal processing methods. This limit is equal to c $τ$ ( c is the speed of light and $τ$ is the laser pulse duration) corresponding to the length of the atmosphere contributing to the wind speed measurement at one distance. To go beyond this limit, we use an inverse problem approach based on a model of the spectrogram (concatenation of periodograms of each range) and prior distributions on our unknowns: backscattering amplitude and wind speed at each range. We apply our inversion method to simulated and experimental spectrograms, demonstrating a gain in resolution by a factor of 2 to 2.5 depending on the signal-to-noise ratio.
title Bayesian approach for spatial super-resolution of heterodyne wind lidars
topic Instrumentation and Detectors
Optics
url https://arxiv.org/abs/2510.21288