2007
DOI: 10.1029/2007rs003635
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Inverting ionospheric radio occultation measurements using maximum entropy

Abstract: [1] Practical aspects of the inversion of ionospheric radio occultation data using the Abel transform and its inverse are discussed. The linear inverse transform exhibits poor error propagation characteristics, producing significant artifacts preferentially at low altitudes where they might easily be mistaken for intermediate or sporadic layers in the ionosphere. Tikhonov regularization, which can be viewed as fixed linear filtering, reduces the artifacts at the expense of discarding fine structure in the prof… Show more

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Cited by 20 publications
(16 citation statements)
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“…3, multiple precipitation layers were excluded from identification. Thus, we are not subject to false positives due to noisy retrievals as described by Hysell (2007). When excess noise was visible in the E region, we denoted this as an "ambiguous" case.…”
Section: Discussionmentioning
confidence: 99%
See 2 more Smart Citations
“…3, multiple precipitation layers were excluded from identification. Thus, we are not subject to false positives due to noisy retrievals as described by Hysell (2007). When excess noise was visible in the E region, we denoted this as an "ambiguous" case.…”
Section: Discussionmentioning
confidence: 99%
“…Due to the nature of the retrieval process (Hysell, 2007;Yue et al, 2010;Hajj and Romans, 1998), retrieval errors will not introduce a single electron density enhancement layer of the kind we are using to identify precipitation. The background E region electron density, defined as the smoothly decreasing component, could certainly be in error.…”
Section: Discussionmentioning
confidence: 99%
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“…Despite the power of this method, the limitations of radio occultation have been noted, particularly when retrieving electron density structure below the F-region peak density (Hysell, 2007;Lei et al, 2007;Wu et al, 2009a;Yue et al, 2010). The standard Abel inversion method to retrieve electron density from total electron content is analytically correct in the case of a spherically symmetric ionosphere (electron density depends only on radial distance).…”
Section: Introductionmentioning
confidence: 97%
“…Thus the error introduced in the beginning iteration will be transferred and amplified in the successive iterations. To solve this problem, some improving methods, like the regularization inversion and the maximum entropy inversion [7,8] , were proposed. Combining the principles of these two improved versions, we propose in this paper a new algorithm for the calculation of the ionospheric occultation: maximum entropy regularization method.…”
Section: Introductionmentioning
confidence: 99%