2010
DOI: 10.1007/s12040-010-0039-0
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A new ionospheric tomographic algorithm — constrained multiplicative algebraic reconstruction technique (CMART)

Abstract: For the limitation of the conventional multiplicative algebraic reconstruction technique (MART), a constrained MART (CMART) is proposed in this paper. In the new tomographic algorithm, a popular two-dimensional multi-point finite difference approximation of the second order Laplacian operator is used to smooth the electron density field. The feasibility and superiority of the new method are demonstrated by using the numerical simulation experiment. Finally, the CMART is used to reconstruct the regional electro… Show more

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Cited by 13 publications
(6 citation statements)
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References 10 publications
(8 reference statements)
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“…However, the single shell model may not give reliable estimate of vTEC when the satellite elevation angle is less than 50 degree. If a larger and denser regional network is chosen, it could be replaced by advanced tomography (Shukla et al 2009(Shukla et al , 2010Wen and Liu 2010).…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…However, the single shell model may not give reliable estimate of vTEC when the satellite elevation angle is less than 50 degree. If a larger and denser regional network is chosen, it could be replaced by advanced tomography (Shukla et al 2009(Shukla et al , 2010Wen and Liu 2010).…”
Section: Discussionmentioning
confidence: 99%
“…It is well known that the ionosphere is a dominant error source for single-frequency GPS users (Klobuchar 1987;Goad 1990; Brunini and Azpilicueta 2010). Many models have been developed to mitigate this error, e.g., the Kolbuchar model (Klobuchar 1987), grid-based models (Mannucci et al 1998;Walter et al 2000;Dow et al 2005) and tomographic models (Ruffini et al 1998;Shukla et al 2009Shukla et al , 2010Wen and Liu 2010). One prerequisite for the above ionosphere models is the extraction of ionospheric observables from dual frequency GPS observations (Wilson and Mannucci 1994;Burrell et al 2006;Rideout and Coster 2006); this is commonly achieved using the phase-smoothed pseudorange (PSP) method (Coco et al 1991;Sardon et al 1994).…”
Section: Introductionmentioning
confidence: 99%
“…As is known, CIT involves illposed inversion because of the limitation of the observational elevation angles and the low coverage of the GPS signal rays leading to the rank defect of formula (1) (Choi et al 2006;Wen et al 2007). To decrease its ill-condition, some improvement strategies (e.g., providing enough and evenly distributed GPS tracking stations) should be incorporated before reconstruction by MART (Yeh and Raymund 1991;Wen and Liu 2010). In this study, we pick out 38 evenly distributed tracking stations of CMONOC in the reconstruction area to improve the reconstruction accuracy.…”
Section: Resultsmentioning
confidence: 99%
“…produces nonnegative values, so an advantage of using MART, instead of ART or SART, is the guarantee of nonnegative values for electron density. Many new iterative algorithms are being developed to improve algebraic techniques; however, most of them are based on the principles of ART, SART, or MART (Hobiger et al 2008;Wen and Liu 2010;Wen et al 2012).…”
Section: Tomographic Formulationmentioning
confidence: 99%