The global picture of the atmospheric composition provided by MIPAS on ENVISAT

The Michelson Interferometer for Passive Atmospheric Sounding (MIPAS) is a mid-infrared emission spectrometer which is part of the core payload of the Envisat satellite, launched by ESA in March 2002. It provides unique observations of the atmospheric spectral radiances in the 4.15 -14.6 ?m spectral interval with innovative limb scanning capabilities for the three dimensional observation of the atmospheric composition and processes. The species, the processes and events that have been studied with this instrument in its 10 years of operation are briefly reviewed.

The latest improvements in the MIPAS ESA processor

MIPAS measurements on ENVISAT represents a unique database for the study of atmospheric composition and of the time variation of atmospheric constituents and trends, in combination with other data. With the end of the ENVISAT mission, the importance of this decadal set of measurements justifies any efforts for their full exploitation. The maintenance and the upgrade of the ESA processor are made in the frame of the Quality Working Group, where a fruitful collaboration between L1, L2 and validation teams can be exploited.

Ten years of MIPAS measurements with ESA Level 2 processor V6-Part 1: Retrieval algorithm and diagnostics of the products

The MIPAS (Michelson Interferometer for Passive Atmospheric Sounding) instrument on the Envisat (Environmental satellite) satellite has provided vertical profiles of the atmospheric composition on a global scale for almost ten years. The MIPAS mission is divided in two phases: the full resolution phase, from 2002 to 2004, and the optimized resolution phase, from 2005 to 2012, which is characterized by a finer vertical and horizontal sampling attained through a reduction of the spectral resolution.

A black box method for solving the complex exponentials approximation problem

A common problem, arising in many different applied contexts, consists in estimating the number of exponentially damped sinusoids whose weighted sum best fits a finite set of noisy data and in estimating their parameters. Many different methods exist to this purpose. The best of them are based on approximate Maximum Likelihood estimators, assuming to know the number of damped sinusoids, which can then be estimated by an order selection procedure.

On the universality of the distribution of the generalized eigenvalues of a pencil of Hankel random matrices

Universality properties of the distribution of the generalized eigenvalues of a pencil of random Hankel matrices, arising in the solution of the exponential interpolation problem of a complex discrete stationary process, are proved under the assumption that every finite set of random variables of the process have a multivariate spherical distribution. An integral representation of the condensed density of the generalized eigenvalues is also derived. The asymptotic behavior of this function turns out to depend only on stationarity and not on the specific distribution of the process.

On the condensed density of the zeros of the Cauchy transform of a complex atomic random measure with Gaussian moments

An atomic random complex measure defined on the unit disk with normally distributed moments is considered. An approximation to the distribution of the zeros of its Cauchy transform is computed. Implications of this result for solving several moment problems are discussed.