2001
DOI: 10.1029/2001ja000062
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Similarity transformation‐based analysis of atmospheric models, data, and inverse remote sensing algorithms

Abstract: Abstract. The similarity transformation (ST) defines a new class of robust and stable parametric functions with embedded physical shape information to optimize flexibility in fitting or inverting data. The similarity transformation also permits the extraction of information on the shape of a particular class of physical functions, thereby providing the basis for comparing alternative models and for analyzing the information content of data. We employ these properties of similarity transformations to study diff… Show more

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Cited by 13 publications
(22 citation statements)
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“…The data/model ratios from the two techniques were fairly well correlated (0.68 and a relative bias of less than 5% in the 300-500 km altitude range), but there were systematic differences in the height dependence of the density ratios. Picone and Meier (2000) and Meier et al (2001) described a more general inversion method based on similarity transforms; this method is appropriate when the shape of the altitude profile of a measured parameter contains physical information.…”
Section: Ultraviolet Remote Sensingmentioning
confidence: 99%
See 1 more Smart Citation
“…The data/model ratios from the two techniques were fairly well correlated (0.68 and a relative bias of less than 5% in the 300-500 km altitude range), but there were systematic differences in the height dependence of the density ratios. Picone and Meier (2000) and Meier et al (2001) described a more general inversion method based on similarity transforms; this method is appropriate when the shape of the altitude profile of a measured parameter contains physical information.…”
Section: Ultraviolet Remote Sensingmentioning
confidence: 99%
“…Above ~200 km, molecular diffusion and gravity cause the constituent species to separate according to mass and follow individual hydrostatic profiles (Meier et al, 2001), as illustrated in Fig. 2.…”
Section: Basic Physical Considerationsmentioning
confidence: 99%
“…Meier et al [2001] recently analyzed a general circulation model calculation at moderate solar activity and low geomagnetic activity which departs from diffusive equilibrium in the lower and middle thermosphere, unlike MSISE-90. However, the larger problem of solar activity dependence remains to be addressed by using detailed three-dimensional models [Aikin et al, 1993].…”
Section: Solar Ultraviolet Occultation Versus Mass Spectrometrymentioning
confidence: 99%
“…Sim i lar ity Trans form ap proach of Meier et al (2001). Another way is to ex tend the tomographic al go rithm to in gest mul ti ple occultations and in vert them si mul ta neously with the TIP ra di ance data.…”
Section: Con Clud Ing Re Marksmentioning
confidence: 99%