On the analysis of moving patterns in geophysics—I. Correlation analysis

Briggs, B. H.

doi:10.1016/0021-9169(68)90097-4

Cited by 103 publications

(74 citation statements)

References 6 publications

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“…2. Given data records with acceptable statistical stationarity in time and homogeneity across the array, can we relax the frozen-flow hypothesis and characterize the moving-frame eddy lifetimes using either sparse-array [Briggs, 1968] …”

Section: Discussionmentioning

confidence: 99%

“…It is important to realize that this differs fundamentally from the sort of "local" measurements which are usually applied to problems of turbulence and fluid-irregularity advection and evolution. Such local measurements provide time series of local quantities which then are suitable inputs to the timelagged, spatially separated, cross-covariance procedure [Briggs, 1968;Fischer and The structure function tends to zero at the shortest separations and tends to saturate at the longest separations. This is for the same reason that the equal-time cross covariance (the exact complement of the structure function) should be maximum at short separations and approach zero at long separations [Tatarski, 1971].…”

Section: Introductionmentioning

confidence: 99%

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A method for improved microwave‐interferometer remote sensing of convective boundary layer turbulence using water vapor as a passive tracer

Jacobson¹,

Sramek²

1997

Radio Science

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Abstract. Water vapor column irregularities within the lower troposphere's convective boundary layer constitute a nearly passive tracer of turbulent air motions and eddy convection. Remote sensing of turbulence in this layer from the ground is done with microwave radars and with lidars. Microwave interferometry is also sensitive to vapor column fluctuations via the known relative refractive delay of water vapor compared to dry air. However, interferometric measurements are intrinsically nonlocal, yielding only the baseline difference (the difference of measurements at two ends of an interferometer baseline) of vapor column, and thus are not amenable to classical data-reduction methods for fluid turbulence, other than the equal-time structure function. In order to remove this limitation of interferometry we have developed a method to estimate the time-lagged cross covariance of vapor-column fluctuations over two sites using interferometry data. This effectively circumvents the limitation to baseline-differenced vapor column data at least in statistical second moments. The method is illustrated with 15-GHz data taken by the very large array. IntroductionAs the conveyor belt responsible for vertical transport of latent heat, sensible heat, water vapor, aerosols, and momentum between the Earth's surface and the atmosphere, the convective boundary layer (CBL) is perhaps as important as any other atmospheric feature. It has been the target of large, coordinated, and intensive campaign studies using horizontally and vertically spaced in situ tower-mounted and tethered, balloon-mounted instruments, for example, the land-

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A method for improved microwave‐interferometer remote sensing of convective boundary layer turbulence using water vapor as a passive tracer

Jacobson¹,

Sramek²

1997

Radio Science

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“…Remarkable features of time series are nonstationarity of individual receivers data and its mutual relation as well. This mutual relation between measurements taken at two distinct spatial position is a key property for deriving the velocity of a drifting field (Briggs, 1968).…”

Section: Data Analyzedmentioning

confidence: 99%

“…In general, two basic methods are used to derive drift velocity: (i) the cross-correlation analysis (Rino and Livingston, 1982;Kintner et al, 2004;Otsuka et al, 2006), and (ii) the dispersive (cross-spectral) analysis (Costa et al, 1988a;Briggs, 1968). The differences between two methods are discussed by Briggs andGolley (1968), andWernik et al (1983).…”

Section: Introductionmentioning

confidence: 99%

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Dispersion analysis of spaced antenna scintillation measurement

Grzesiak

Wernik

2009

Ann. Geophys.

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Wind retrieval from multiangle backscatter lidar profiles through anisotropic aerosol structures

Tomás

Rocadenbosch

2015

JGR Atmospheres

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A wind retrieval correlation method for backscatter lidar scanning schemes consisting of a few profiling sounding lines of sight is mathematically formulated in matrix solution form under general anisotropic atmospheric conditions and convective boundary layer scenarios. The method assumes the frozen atmosphere model and works with temporal cross-correlation functions that do not need to be maximized. The method also applies to the well-known case of slant scans based on the multiple-angle azimuth technique (horizontal wind retrievals). A first application of the method to a 1064 nm wavelength case example is presented for a 40°e levation, two-angle azimuth scan, where horizontal wind speed and wind direction are retrieved.

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On the analysis of moving patterns in geophysics—I. Correlation analysis

Cited by 103 publications

References 6 publications

A method for improved microwave‐interferometer remote sensing of convective boundary layer turbulence using water vapor as a passive tracer

A method for improved microwave‐interferometer remote sensing of convective boundary layer turbulence using water vapor as a passive tracer

Dispersion analysis of spaced antenna scintillation measurement

Wind retrieval from multiangle backscatter lidar profiles through anisotropic aerosol structures

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