1999
DOI: 10.1109/36.789649
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Microwave tomographic inversion technique based on stochastic approach for rainfall fields monitoring

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Cited by 58 publications
(38 citation statements)
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“…The background error covariance matrix B, such as c f kx 2 mk 2 5 kxk B 21 , is given by B 21 5 åBk, where k represents one of the points of the discretized domain [one of the (i, j) points]. Then, as described in Giuli et al (1991), the value of the matrix B k at grid point (i, j) (written b k ij ) is given by…”
Section: ) Cost Functionmentioning
confidence: 99%
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“…The background error covariance matrix B, such as c f kx 2 mk 2 5 kxk B 21 , is given by B 21 5 åBk, where k represents one of the points of the discretized domain [one of the (i, j) points]. Then, as described in Giuli et al (1991), the value of the matrix B k at grid point (i, j) (written b k ij ) is given by…”
Section: ) Cost Functionmentioning
confidence: 99%
“…However, in this study, as we work with very brief, highly variable events, the assumption is made that no background field is available. Moreover, a filter term J f is added to the cost function in order to provide a certain degree of correlation between neighboring pixels, similarly to the approach of Giuli et al (1991), that thus smooths the rainfall fields. This filter term is assumed to have the value 0 for a constant field.…”
Section: ) Cost Functionmentioning
confidence: 99%
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“…An example is shown in the right-hand panel of Figure 11. This technique, which is based on prior work and has been demonstrated in a number of previous efforts using laser absorption spectroscopy and microwave attenuation to construct two-dimensional fields of CO 2 concentrations [33] and rain rate [34][35][36] over defined areas of interest, models the field of interest as a limited set of base functions whose integrated intensities along the sampling paths best matches the observed values for a given set of best-fit criteria, e.g., mean-squared error. The resulting estimate from a prototype implementation of this approach is illustrated in the right-hand panel of Figure 11.…”
Section: Applicationsmentioning
confidence: 99%
“…Equation (1), which become linear (b = 1) for a certain choice of signal parameters, first suggested in Reference [3]. This raised the idea to use microwave links (MLs) for rainfall measurements in the early 90s [4][5][6], and it was experimentally tested in a multinational European project [7]. However, as the installation of dedicated MLs is costly, in combination with their limited coverage and questionable accuracy, this idea has not spread.…”
Section: Introductionmentioning
confidence: 99%