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Brian Jackson edited section_Detection_Biases_in_Single__.tex
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\section*{Detection \section*{Signal Recovery and Detection Biases in Single Barometer Surveys}
In this kind of survey, one or more barometric sensors deployed in-situ record a pressure time series at a sampling rate $\lesssim 1$ s. As low-pressure convective vortex, a dust devil has an actual pressure depth $P_{\rm act}$ at its center measured against some known background level and a radial profile $P(r)$ resembling a Lorentz function with a full-width half-max $\Gamma_{\rm act}$: $P(r) = -\dfrac{P_{\rm act}}{1 - \left( 2r/\Gamma_{\rm act} \right)^2 }$. Dust devils are usually carried by the background wind with a velocity $\upsilon$. Figure \ref{fig:conditioning_detection_b_inset} from \citet{Jackson_2015} shows a typical profile.